# Mathematical Sciences Research Institute

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1. # Summer Graduate SchoolAutomorphic Forms and the Langlands Program

LEAD Kevin Buzzard (Imperial College, London)

The summer school will be an introduction to the more algebraic aspects of the theory of automorphic forms and representations. One of the goals will be to understand the statements of the main conjectures in the Langlands programme. Another will be to gain a good working understanding of the fundamental definitions in the theory, such as principal series representations, the Satake isomorphism, and of course automorphic forms and representations for groups such as GL_n and its inner forms.

Jul 24, 2017
Monday
 09:00 AM - 09:15 AM Introduction to MSRI 09:15 AM - 09:30 AM Welcome 09:30 AM - 10:45 AM Lecture 10:45 AM - 11:00 AM Break 11:00 AM - 12:15 PM Lecture 12:15 PM - 02:00 PM Lunch 02:00 PM - 03:30 PM TA / Projects / Problem sets 03:30 PM - 04:00 PM Tea 04:00 PM - 05:00 PM Projects / Problem sets
Jul 25, 2017
Tuesday
 09:30 AM - 10:45 AM Lecture 10:45 AM - 11:00 AM Break 11:00 AM - 12:15 PM Lecture 12:15 PM - 02:00 PM Lunch 02:00 PM - 03:30 PM TA / Projects / Problem sets 03:30 PM - 04:00 PM Tea 04:00 PM - 05:00 PM Projects / Problem
Jul 26, 2017
Wednesday
 09:30 AM - 10:45 AM Lecture 10:45 AM - 11:00 AM Break 11:00 AM - 11:30 AM Lecture 11:30 AM - 02:00 PM BBQ at Tilden Park
Jul 27, 2017
Thursday
 09:30 AM - 10:45 AM Lecture 10:45 AM - 11:00 AM Break 11:00 AM - 12:15 PM Lecture 12:15 PM - 02:00 PM Lunch 02:00 PM - 03:30 PM TA / Projects / Problem sets 03:30 PM - 04:00 PM Tea 04:00 PM - 05:00 PM Projects / Problem sets
Jul 28, 2017
Friday
 09:30 AM - 10:45 AM Lecture 10:45 AM - 11:00 AM Break 11:00 AM - 12:15 PM Lecture 12:15 PM - 02:00 PM Lunch 02:00 PM - 03:30 PM TA / Projects / Problem sets 03:30 PM - 04:00 PM Tea 04:00 PM - 05:00 PM TA / Projects / Problem sets
Jul 31, 2017
Monday
 09:30 AM - 10:45 AM Lecture 10:45 AM - 11:00 AM Break 11:00 AM - 12:15 PM Lecture 12:15 PM - 02:00 PM Lunch 02:00 PM - 03:30 PM TA / Projects / Problem sets 03:30 PM - 04:00 PM Tea 04:00 PM - 05:00 PM Projects / Problem sets
Aug 01, 2017
Tuesday
 09:30 AM - 10:45 AM Lecture 10:45 AM - 11:00 AM Break 11:00 AM - 12:15 PM Lecture 12:15 PM - 02:00 PM Lunch 02:00 PM - 03:30 PM TA / Projects / Problem sets 03:30 PM - 04:00 PM Tea 04:00 PM - 05:00 PM Projects / Problem
Aug 02, 2017
Wednesday
 09:30 AM - 10:45 AM Lecture 10:45 AM - 11:00 AM Break 11:00 AM - 12:15 PM Lecture 12:15 PM - 02:00 PM Lunch
Aug 03, 2017
Thursday
 09:30 AM - 10:45 AM Lecture 10:45 AM - 11:00 AM Break 11:00 AM - 12:15 PM Lecture 12:15 PM - 02:00 PM Lunch 02:00 PM - 03:30 PM TA / Projects / Problem sets 03:30 PM - 04:00 PM Tea 04:00 PM - 05:00 PM Projects / Problem sets
Aug 04, 2017
Friday
 09:30 AM - 10:45 AM Lecture 10:45 AM - 11:00 AM Break 11:00 AM - 12:15 PM Lecture 12:15 PM - 02:00 PM Lunch 02:00 PM - 03:30 PM TA / Projects / Problem sets 03:30 PM - 04:00 PM Tea 04:00 PM - 05:00 PM TA / Projects / Problem sets
2. # Summer Graduate SchoolPositivity Questions in Geometric Combinatorics

Eran Nevo (The Hebrew University of Jerusalem), Raman Sanyal (Johann Wolfgang Goethe-Universität Frankfurt)

McMullen’s g-Conjecture from 1970 is a shining example of mathematical foresight that combined all results available at that time to conjure a complete characterization of face numbers of convex simple/simplicial polytopes. The key statement in its verification is that certain combinatorial numbers associated to geometric (or topological) objects are non-negative. The aim of this workshop is to introduce graduate students to selected contemporary topics in geometric combinatorics with an emphasis on positivity questions. It is fascinating that the dual notions of simple and simplicial polytopes lead to different but equally powerful algebraic frameworks to treat such questions. A key feature of the lectures will be the simultaneous development of these algebraic frameworks from complementary perspectives: combinatorial-topological and convex-geometric.  General concepts (such as Lefschetz elements, Hodge–Riemann–Minkowski inequalities) will be developed side-by-side, and analogies will be drawn to concepts in algebraic geometry, Fourier analysis, rigidity theory and measure theory. This allows for entry points for students with varying backgrounds.  The courses will be supplemented with guest lectures highlighting further connections to other fields.

Jul 10, 2017
Monday
 08:45 AM - 09:00 AM Introduction to MSRI 09:00 AM - 10:00 AM Lecture Raman Sanyal (Johann Wolfgang Goethe-Universität Frankfurt) 10:00 AM - 10:30 AM Coffee Break 10:30 AM - 11:30 AM Lecture Raman Sanyal (Johann Wolfgang Goethe-Universität Frankfurt) 11:30 AM - 12:30 PM Exercises 12:30 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Lecture Eran Nevo (The Hebrew University of Jerusalem) 03:00 PM - 03:30 PM Tea 03:30 PM - 05:00 PM Exercises
Jul 11, 2017
Tuesday
 09:00 AM - 10:00 AM Lecture Eran Nevo (The Hebrew University of Jerusalem) 10:00 AM - 10:30 AM Coffee Break 10:30 AM - 11:30 AM Lecture Eran Nevo (The Hebrew University of Jerusalem) 11:30 AM - 12:30 PM Exercises 12:30 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Lecture Raman Sanyal (Johann Wolfgang Goethe-Universität Frankfurt) 03:00 PM - 03:30 PM Tea 03:30 PM - 05:00 PM Exercises
Jul 12, 2017
Wednesday
 09:00 AM - 10:00 AM Lecture Eran Nevo (The Hebrew University of Jerusalem) 10:00 AM - 10:30 AM Coffee Break 10:30 AM - 11:30 AM Centrally symmetric polytopes and spheres: towards the upper bound conjectures Steven Klee (Seattle University), Isabella Novik (University of Washington) 11:30 AM - 02:00 PM BBQ at Tilden Park 02:00 PM - 03:00 PM Lower Bound Theorems for centrally symmetric complexes Steven Klee (Seattle University), Isabella Novik (University of Washington) 03:00 PM - 03:30 PM Tea 03:30 PM - 05:00 PM Exercises
Jul 13, 2017
Thursday
 09:00 AM - 10:00 AM Lecture Raman Sanyal (Johann Wolfgang Goethe-Universität Frankfurt) 10:00 AM - 10:30 AM Coffee Break 10:30 AM - 11:30 AM Lecture Eran Nevo (The Hebrew University of Jerusalem) 11:30 AM - 12:30 PM Exercises 12:30 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Presentations 03:00 PM - 03:30 PM Tea 03:30 PM - 05:00 PM Exercises
Jul 14, 2017
Friday
 09:00 AM - 10:00 AM Lecture Raman Sanyal (Johann Wolfgang Goethe-Universität Frankfurt) 10:00 AM - 10:30 AM Coffee Break 10:30 AM - 11:30 AM Lecture Eran Nevo (The Hebrew University of Jerusalem) 11:30 AM - 12:30 PM Exercises 12:30 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Presentations 03:00 PM - 03:30 PM Tea 03:30 PM - 05:00 PM Exercises
Jul 17, 2017
Monday
 09:00 AM - 10:00 AM Lecture Eran Nevo (The Hebrew University of Jerusalem) 10:00 AM - 10:30 AM Coffee Break 10:30 AM - 11:30 AM Lecture Eran Nevo (The Hebrew University of Jerusalem) 11:30 AM - 12:30 PM Exercises 12:30 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Lecture Raman Sanyal (Johann Wolfgang Goethe-Universität Frankfurt) 03:00 PM - 03:30 PM Tea 03:30 PM - 05:00 PM Exercises
Jul 18, 2017
Tuesday
 09:00 AM - 10:00 AM Lecture Raman Sanyal (Johann Wolfgang Goethe-Universität Frankfurt) 10:00 AM - 10:30 AM Coffee Break 10:30 AM - 11:30 AM Lecture Raman Sanyal (Johann Wolfgang Goethe-Universität Frankfurt) 11:30 AM - 12:30 PM Exercises 12:30 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Lecture Eran Nevo (The Hebrew University of Jerusalem) 03:00 PM - 03:30 PM Tea 03:30 PM - 05:00 PM Exercises
Jul 19, 2017
Wednesday
 09:00 AM - 10:00 AM Lecture Raman Sanyal (Johann Wolfgang Goethe-Universität Frankfurt) 10:00 AM - 10:30 AM Coffee Break 10:30 AM - 11:30 AM Classification of combinatorial polynomials (in particular, Ehrhart polynomials of zonotopes) Matthias Beck (San Francisco State University) 11:30 AM - 12:30 PM Exercises 12:30 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM The algebraic and combinatorial structure of generalized permutahedra Federico Ardila (San Francisco State University) 03:00 PM - 03:30 PM Tea 03:30 PM - 05:00 PM Exercises
Jul 20, 2017
Thursday
 09:00 AM - 10:00 AM Lecture Eran Nevo (The Hebrew University of Jerusalem) 10:00 AM - 10:30 AM Coffee Break 10:30 AM - 11:30 AM Lecture Raman Sanyal (Johann Wolfgang Goethe-Universität Frankfurt) 11:30 AM - 12:30 PM Exercises 12:30 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Presentations 03:00 PM - 03:30 PM Tea 03:30 PM - 05:00 PM Exercises
Jul 21, 2017
Friday
 09:00 AM - 10:00 AM Lecture Eran Nevo (The Hebrew University of Jerusalem) 10:00 AM - 10:30 AM Coffee Break 10:30 AM - 11:30 AM Lecture Raman Sanyal (Johann Wolfgang Goethe-Universität Frankfurt) 11:30 AM - 12:30 PM Exercises 12:30 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Presentations 03:00 PM - 03:30 PM Tea 03:30 PM - 05:00 PM Exercises
3. # Summer Graduate SchoolSoergel Bimodules

LEAD Ben Elias (University of Oregon), Geordie Williamson (University of Sydney)

We will give an introduction to categorical representation theory, focusing on the example of Soergel bimodules, which is a categorification of the Iwahori-Hecke algebra. We will give a comprehensive introduction to the "tool box" of modern (higher) representation theory: diagrammatics, homotopy categories, categorical diagonalization, module categories, Drinfeld center, algebraic Hodge theory.

Jun 26, 2017
Monday
 09:15 AM - 09:30 AM Welcome 09:30 AM - 10:15 AM Lecture 10:15 AM - 10:45 AM Break 10:45 AM - 11:30 AM Lecture 11:30 AM - 12:30 PM Exercises 12:30 PM - 02:00 PM Lunch 02:00 PM - 02:45 PM Lecture 02:45 PM - 03:15 PM Tea 03:15 PM - 05:00 PM Exercises and Discussion
Jun 27, 2017
Tuesday
 09:30 AM - 10:15 AM Lecture 10:15 AM - 10:45 AM Break 10:45 AM - 11:30 AM Lecture 11:30 AM - 12:30 PM Exercises 12:30 PM - 02:00 PM Lunch 02:00 PM - 02:45 PM Lecture 02:45 PM - 03:15 PM Tea 03:15 PM - 05:00 PM Exercises and Discussion
Jun 28, 2017
Wednesday
 09:30 AM - 10:15 AM Lecture 10:15 AM - 10:45 AM Break 10:45 AM - 11:30 AM Lecture 11:30 AM - 12:00 PM Exercises 12:00 PM - 02:00 PM BBQ at Tilden Park 02:00 PM - 02:45 PM Lecture 02:45 PM - 03:15 PM Tea 03:15 PM - 05:00 PM Exercises and Discussion
Jun 29, 2017
Thursday
 09:30 AM - 10:15 AM Lecture 10:15 AM - 10:45 AM Break 10:45 AM - 11:30 AM Lecture 11:30 AM - 12:30 PM Exercises 12:30 PM - 02:00 PM Lunch 02:00 PM - 02:45 PM Lecture 02:45 PM - 03:15 PM Tea 03:15 PM - 05:00 PM Exercises and Discussion
Jun 30, 2017
Friday
 09:30 AM - 10:15 AM Lecture 10:15 AM - 10:45 AM Break 10:45 AM - 11:30 AM Lecture 11:30 AM - 12:30 PM Exercises 12:30 PM - 02:00 PM Lunch 02:00 PM - 02:45 PM Lecture 02:45 PM - 03:15 PM Tea 03:15 PM - 05:00 PM Exercises and Discussion
Jul 03, 2017
Monday
 09:30 AM - 10:15 AM Lecture 10:15 AM - 10:45 AM Break 10:45 AM - 11:30 AM Lecture 11:30 AM - 12:30 PM Exercises 12:30 PM - 02:00 PM Lunch 02:00 PM - 02:45 PM Lecture 02:45 PM - 03:15 PM Tea 03:15 PM - 05:00 PM Exercises and Discussion
Jul 05, 2017
Wednesday
 09:30 AM - 10:15 AM Lecture 10:15 AM - 10:45 AM Break 10:45 AM - 11:30 AM Lecture 11:30 AM - 12:30 PM Exercises 12:30 PM - 02:00 PM Lunch 02:00 PM - 02:45 PM Lecture 02:45 PM - 03:15 PM Tea 03:15 PM - 05:00 PM Exercises and Discussion
Jul 06, 2017
Thursday
 09:30 AM - 10:15 AM Lecture 10:15 AM - 10:45 AM Break 10:45 AM - 11:30 AM Lecture 11:30 AM - 12:30 PM Exercises 12:30 PM - 02:00 PM Lunch 02:00 PM - 02:45 PM Lecture 02:45 PM - 03:15 PM Tea 03:15 PM - 05:00 PM Exercises and Discussion
Jul 07, 2017
Friday
 09:30 AM - 10:15 AM Lecture 10:15 AM - 10:45 AM Break 10:45 AM - 11:30 AM Lecture 11:30 AM - 12:30 PM Exercises 12:30 PM - 02:00 PM Lunch 02:00 PM - 02:45 PM Lecture 02:45 PM - 03:15 PM Tea 03:15 PM - 05:00 PM Exercises and Discussion
4. # MSRI-UPMSRI-UP 2017: Solving Systems of Polynomial Equations

LEAD Federico Ardila (San Francisco State University), Duane Cooper (Morehouse College), Maria Franco (Queensborough Community College (CUNY); MSRI - Mathematical Sciences Research Institute), Herbert Medina (Loyola Marymount University), J. Maurice Rojas (Texas A & M University), Suzanne Weekes (Worcester Polytechnic Institute)

The MSRI-UP summer program is designed to serve a diverse group of undergraduate students who would like to conduct research in the mathematical sciences.
In 2017, MSRI-UP will focus on Solving Systems of Polynomial Equations, a topic at the heart of almost every computational problem in the physical and life sciences. We will pay special attention to complexity issues, highlighting connections with tropical geometry, number theory, and the P vs. NP problem. The research program will be led by Prof. J. Maurice Rojas of Texas A&M University.
Students who have had a linear algebra course and a course in which they have had to write proofs are eligible to apply. Due to funding restrictions, only U.S. citizens and permanent residents may apply regardless of funding. Members of underrepresented groups are especially encouraged to apply.

Jun 30, 2017
Friday
 01:00 PM - 02:00 PM The Dehn-Sommerville Relations and the Catalan Matroid Anastasia Chavez (University of California, Davis)
Jul 07, 2017
Friday
 01:00 PM - 02:00 PM Mathematical Models of the Retina and In Silico Experiments: Shedding Light on Vision Loss Erika Camacho (University of Arizona)
Jul 14, 2017
Friday
 01:00 PM - 02:00 PM Impact of Undergraduate Research on Student Learning at a Community College Maria Franco (Queensborough Community College (CUNY); MSRI - Mathematical Sciences Research Institute)
Jul 21, 2017
Friday
 01:00 PM - 02:00 PM How to be "successful" in the mathematics world? Alexander Diaz-Lopez (Villanova University)
Jul 28, 2017
Friday
 01:00 PM - 02:00 PM Exponential Domination in Grids Michael Young (Iowa State University)
Aug 04, 2017
Friday
 09:00 AM - 09:15 AM Final Presentations: Opening Remarks J. Maurice Rojas (Texas A & M University) 09:15 AM - 09:50 AM Counting the roots of a polynomial modulo p2 Trajan Hammonds (Carnegie Mellon University), Jeremy Johnson (Humboldt State University), Angela Patini (University of Pennsylvania) 10:00 AM - 11:20 AM On the maximal number of roots of a trinomial over a prime field Jeshu Dastidar (Queens College, CUNY), Viviana Peña Márquez (Konrad Lorenz Fundación Universitaria), Ryan Pugh (California State University-Monterey Bay) 10:45 AM - 11:20 AM Applying discriminant chambers to structured polynomials Amy Adair (Louisiana State University), Alex Mendez (University of Illinois at Urbana-Champaign), Diane Tchuindjo (University of Maryland) 11:30 AM - 01:00 PM Lunch 01:00 PM - 01:35 PM Using lower binomials to approximate roots of trinomials Harold Jimenez Polo (University of California, Berkeley), Esteban Madrigal (Harvard University), Carlos Osco Huaricapcha (San Francisco State University) 01:45 PM - 02:20 PM Topology of positive zero sets of bivariate pentanomials Malachi Alexander (California State University, Monterey Bay), Ashley De Luna (California State Polytechnic University), Christian McRoberts (Morehouse College) 02:30 PM - 03:05 PM Topology of positive zero sets of n-variate (n+4)-nomials Davina Boykin (Valparaiso University), Sabrina Enriquez (University of Southern California), Noemi Valdez (Harvard University) 03:05 PM - 03:15 PM Closing Remarks Federico Ardila (San Francisco State University) 03:15 PM - 04:00 PM Afternoon Tea
5. # Summer Graduate SchoolSubfactors: planar algebras, quantum symmetries, and random matrices

LEAD Scott Morrison (Australian National University), Emily Peters (Loyola University), Noah Snyder (Indiana University)

Subfactor theory is a subject from operator algebras, with many surprising connections to other areas of mathematics. This summer school will be devoted to understanding the representation theory of subfactors, with a particular emphasis on connections to quantum symmetries, fusion categories, planar algebras, and random matrices

Jun 12, 2017
Monday
 09:15 AM - 09:30 AM Introduction to MSRI 09:30 AM - 10:30 AM Lecture Noah Snyder (Indiana University) 10:30 AM - 11:00 AM Break 11:00 AM - 12:00 PM Lecture Emily Peters (Loyola University) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:30 PM TA Problem Session 03:30 PM - 04:00 PM Tea 04:00 PM - 05:00 PM Discussion
Jun 13, 2017
Tuesday
 09:30 AM - 10:30 AM Lecture Emily Peters (Loyola University) 10:30 AM - 11:00 AM Break 11:00 AM - 12:00 PM Lecture Noah Snyder (Indiana University) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:30 PM TA Problem Session 03:30 PM - 04:00 PM Tea 04:00 PM - 05:00 PM Discussion
Jun 14, 2017
Wednesday
 09:00 AM - 10:00 AM Lecture Noah Snyder (Indiana University) 10:00 AM - 10:30 AM Break 10:30 AM - 11:30 AM Lecture Emily Peters (Loyola University) 11:30 AM - 02:00 PM BBQ at Tilden Park 02:00 PM - 03:30 PM TA Problem Session 03:30 PM - 04:00 PM Tea 04:00 PM - 05:00 PM Discussion
Jun 15, 2017
Thursday
 09:30 AM - 10:30 AM Lecture Emily Peters (Loyola University) 10:30 AM - 11:00 AM Break 11:00 AM - 12:00 PM Lecture Noah Snyder (Indiana University) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:30 PM TA Problem Session 03:30 PM - 04:00 PM Tea 04:00 PM - 05:00 PM Discussion
Jun 16, 2017
Friday
 09:30 AM - 10:30 AM Lecture Noah Snyder (Indiana University) 10:30 AM - 11:00 AM Break 11:00 AM - 12:00 PM Lecture Emily Peters (Loyola University) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:30 PM TA Problem Session 03:30 PM - 04:00 PM Tea 04:00 PM - 05:00 PM Discussion
Jun 19, 2017
Monday
 09:30 AM - 10:30 AM Lecture Dimitri Shlyakhtenko (University of California, Los Angeles) 10:30 AM - 11:00 AM Break 11:00 AM - 12:00 PM Lecture Dimitri Shlyakhtenko (University of California, Los Angeles) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:30 PM TA Problem Session 03:30 PM - 04:00 PM Tea 04:00 PM - 05:00 PM Discussion
Jun 20, 2017
Tuesday
 09:30 AM - 10:30 AM Lecture Noah Snyder (Indiana University) 10:30 AM - 11:00 AM Break 11:00 AM - 12:00 PM Lecture Dimitri Shlyakhtenko (University of California, Los Angeles) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:30 PM TA Problem Session 03:30 PM - 04:00 PM Tea 04:00 PM - 05:00 PM Discussion
Jun 21, 2017
Wednesday
 09:30 AM - 10:30 AM Lecture Emily Peters (Loyola University) 10:30 AM - 11:00 AM Break 11:00 AM - 12:00 PM Lecture Dimitri Shlyakhtenko (University of California, Los Angeles) 12:00 PM - 02:00 PM Lunch 02:00 PM - 05:00 PM Free day
Jun 22, 2017
Thursday
 09:30 AM - 10:30 AM Lecture Dimitri Shlyakhtenko (University of California, Los Angeles) 10:30 AM - 11:00 AM Break 11:00 AM - 12:00 PM Lecture Noah Snyder (Indiana University) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:30 PM TA Problem Session 03:30 PM - 04:00 PM Tea 04:00 PM - 05:00 PM Discussion
Jun 23, 2017
Friday
 09:30 AM - 10:30 AM Lecture Dimitri Shlyakhtenko (University of California, Los Angeles) 10:30 AM - 11:00 AM Break 11:00 AM - 12:00 PM Lecture Emily Peters (Loyola University) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:30 PM TA Problem Session 03:30 PM - 04:00 PM Tea 04:00 PM - 05:00 PM Discussion
6. # WorkshopRecent Developments in Harmonic Analysis

Michael Christ (University of California, Berkeley), Steven Hofmann (University of Missouri), LEAD Michael Lacey (Georgia Institute of Technology), Betsy Stovall (University of Wisconsin-Madison), Brian Street (University of Wisconsin-Madison)

Topics for this workshop will be drawn from the main research directions of this conference, including:
(1) Restriction, Kakeya, and geometric incidence problems
(2) Analysis on nonhomogenous spaces
(3) Weighted estimates
(4) Quantitative rectifiability and other topics in PDE

May 15, 2017
Monday
 09:15 AM - 09:30 AM Welcome 09:30 AM - 10:30 AM Recent developments in some multilinear problems Anthony Carbery (University of Edinburgh) 10:30 AM - 11:00 AM Break 11:00 AM - 12:00 PM Jump inequalities for translation-invariant polynomial averages and singular integrals on $\mathbb Z^d$ Mariusz Mirek (Hausdorff Research Institute for Mathematics, University of Bonn) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM A cone restriction estimate using polynomial partitioning Yumeng Ou (Massachusetts Institute of Technology) 03:00 PM - 03:30 PM Tea & Poster Session 03:30 PM - 04:30 PM Radon-like operators of intermediate dimension Philip Gressman (University of Pennsylvania)
May 16, 2017
Tuesday
 09:30 AM - 10:30 AM Uniform rectifiability, bounded harmonic functions, and elliptic PDE's Xavier Tolsa (Autonomous University of Barcelona) 10:30 AM - 11:00 AM Break & Poster Session 11:00 AM - 12:00 PM Sparse domination of singular integral operators Francesco Di Plinio (University of Virginia) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Rigidity, group actions and finite point configurations in thin sets Alex Iosevich (University of Rochester) 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM Product Hardy spaces associated to operators with heat kernel bounds on spaces of homogeneous type Lesley Ward (University of South Australia--Mawson Lakes Campus) 04:30 PM - 06:20 PM Reception
May 17, 2017
Wednesday
 09:30 AM - 10:30 AM Boundary Layers in Periodic Homogenization Zhongwei Shen (University of Kentucky) 10:30 AM - 11:00 AM Break 11:00 AM - 12:00 PM Quantitative differentiation Tuomas Hytönen (University of Helsinki)
May 18, 2017
Thursday
 09:30 AM - 10:30 AM The Analyst's Traveling Salesman Theorem for large dimensional objects Jonas Azzam (University of Edinburgh) 10:30 AM - 11:00 AM Break 11:00 AM - 12:00 PM The hidden landscape of localization of eigenfunctions Svitlana Mayboroda (University of Minnesota, Twin Cities) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Approximation of $\dot{W}^{s,n/s}$ functions by bounded functions on $\mathbb{R}^n$ Po Lam Yung (Chinese University of Hong Kong) 03:00 PM - 03:30 PM Tea & Poster Session 03:30 PM - 04:30 PM Applications of decoupling-type estimates to the cubic NLSE Bobby Wilson (Massachusetts Institute of Technology)
May 19, 2017
Friday
 09:30 AM - 10:30 AM Two weight norm inequalities for singular and fractional integral operators in $R^n$. Ignacio Uriarte-Tuero (Michigan State University) 10:30 AM - 11:00 AM Break & Poster Session 11:00 AM - 12:00 PM An improved bound on the Hausdorff dimension of Besicovitch sets in R^3 Joshua Zahl (University of British Columbia) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM On the failure of lower square function estimates in the non-homogenous weighted setting. Stefanie Petermichl (Université de Toulouse III (Paul Sabatier)) 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM Recent developments in decoupling theory Ciprian Demeter (Indiana University)
7. # WorkshopRecent developments in Analytic Number Theory

Tim Browning (University of Bristol), Chantal David (Concordia University), Kannan Soundararajan (Stanford University), LEAD Terence Tao (University of California, Los Angeles)

This workshop will be focused on presenting the latest developments in analytic number theory, including (but not restricted to) recent advances in sieve theory, multiplicative number theory, exponential sums, arithmetic statistics, estimates on automorphic forms, and the Hardy-Littlewood circle method.

May 01, 2017
Monday
 09:15 AM - 09:30 AM Welcome 09:30 AM - 10:30 AM Better than squareroot cancellation for multiplicative functions Adam Harper (University of Warwick) 10:30 AM - 11:00 AM Break 11:00 AM - 12:00 PM Approximate cohomology Tamar Ziegler (The Hebrew University of Jerusalem) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Subconvex equidistribution of cusp forms Paul Nelson (ETH Zürich) 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM Averages of p-torsion in class groups over function fields---good and bad primes Melanie Wood (University of Wisconsin-Madison)
May 02, 2017
Tuesday
 09:30 AM - 10:30 AM A Chebotarev density theorem for families of fields, with applications to class groups Lillian Pierce (Duke University) 10:30 AM - 11:00 AM Break 11:00 AM - 12:00 PM Applications of Exponential Sums Will Sawin (ETH Zürich) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Poster Session 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM Squarefree values of polynomial discriminants Manjul Bhargava (Princeton University) 04:30 PM - 06:20 PM Reception
May 03, 2017
Wednesday
 09:30 AM - 10:30 AM Correlations of von Mangoldt and higher order divisor functions Kaisa Matomäki (University of Turku) 10:30 AM - 11:00 AM Break 11:00 AM - 12:00 PM Beyond Expansion and Arithmetic Chaos Alex Kontorovich (Rutgers University)
May 04, 2017
Thursday
 09:30 AM - 10:30 AM On integral points on degree four del Pezzo surfaces Damaris Schindler (Universiteit Utrecht) 10:30 AM - 11:00 AM Break 11:00 AM - 12:00 PM The fifth moment of modular L-functions Matthew Young (Texas A & M University) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM The orbit method and analysis of automorphic forms Akshay Venkatesh (Stanford University) 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM Large gaps between primes in subsets James Maynard (University of Oxford)
May 05, 2017
Friday
 09:30 AM - 10:30 AM Arithmetic functions: something old, something new Paul Pollack (University of Georgia) 10:30 AM - 11:00 AM Break 11:00 AM - 12:00 PM Local to global principles in integral circle packings Elena Fuchs (University of California, Davis) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Bombieri-Vinogradov for general multiplicative functions Fernando Shao (University of Oxford) 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM Nested Efficient Congruencing and (non) translation-dilation invariance. Trevor Wooley (University of Bristol)
8. # WorkshopHot Topics: Galois Theory of Periods and Applications

LEAD Francis Brown (All Souls College, University of Oxford), Clément Dupont (Université de Montpellier), Richard Hain (Duke University), Vadim Vologodsky ( Higher School of Economics)

Periods are integrals of algebraic differential forms over algebraically-defined domains and are ubiquitous in mathematics and physics. A deep idea, originating with Grothendieck, is that there should be a Galois theory of periods. This general principle provides a unifying approach to several problems in the theory of motives, quantum groups and geometric group theory.  This conference will bring together leading experts around this subject and cover topics such as the theory of multiple zeta values, modular forms, and motivic fundamental groups.

Mar 27, 2017
Monday
 09:15 AM - 09:30 AM Welcome 09:30 AM - 10:30 AM Galois theory of period and the André-Oort conjecture Yves Andre (Centre National de la Recherche Scientifique (CNRS)) 10:30 AM - 11:00 AM Break 11:00 AM - 12:00 PM Motivic Gamma Functions and recursion Spencer Bloch (Retired) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Elliptic multiple zeta values and periods Nils Matthes (Max-Planck-Institut für Mathematik) 03:00 PM - 03:30 PM Tea Break 03:30 PM - 04:30 PM Period Polynomial Relations among Double Zeta Values and Various Generalizations Ding Ma (Duke University)
Mar 28, 2017
Tuesday
 09:30 AM - 10:30 AM Why you should care about motives Annette Huber-Klawitter (Albert-Ludwigs-Universität Freiburg) 10:30 AM - 11:00 AM Break 11:00 AM - 12:00 PM Outer space, symplectic derivations of free Lie algebras and modular forms Karen Vogtmann (University of Warwick) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM A Galois theory of exponential periods Javier Fresán (ETH Zürich) 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM Galois actions on operads Geoffroy Horel (Université de Paris XIII (Paris-Nord)) 04:30 PM - 06:20 PM Reception
Mar 29, 2017
Wednesday
 09:00 AM - 10:00 AM The Goldman-Turaev Lie bialgebra and the Kashiwara-Vergne problem Anton Alekseev (Université de Genève) 10:00 AM - 10:30 AM Break 10:30 AM - 11:30 AM A stabilizer interpretation de double shuffle Lie algebras Benjamin Enriquez (Université de Strasbourg) 11:30 AM - 12:30 PM the operad structure of $\overline{M_{0,n+1}}({\mathbb{R}})$ Anton Khoroshkin ( Higher School of Economics)
Mar 30, 2017
Thursday
 09:30 AM - 10:30 AM Quotients of Kontsevich's "Lie" Lie algebra Jim Conant (University of Tennessee) 10:30 AM - 11:00 AM Break 11:00 AM - 12:00 PM Motivic Euler numbers and an arithmetic count of the lines on a cubic surface. Kirsten Wickelgren (Georgia Institute of Technology) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Galois theory for motivic cyclotomic multiple zeta values Claire Glanois (Max-Planck-Institut für Mathematik) 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM Motives arising from higher homotopy theory of hyperplane arrangements. Deepam Patel (Purdue University) 05:00 PM - 06:00 PM Motives and derivations of free Lie algebras Richard Hain (Duke University)
Mar 31, 2017
Friday
 09:30 AM - 10:30 AM Motivic Galois groups, following Ayoub and Nori Martin Gallauer (University of California, Los Angeles) 10:30 AM - 11:00 AM Break 11:00 AM - 12:00 PM p-adic periods via perfectoid spaces Kiran Kedlaya (University of California, San Diego) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Iterated p-adic integrals and rational points on curves Jennifer Balakrishnan (Boston University) 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM A Galois theory of supercongruences Julian Rosen (University of Michigan)
9. # WorkshopCritical Issues in Mathematics Education 2017: Observing for Access, Power, and Participation in Mathematics Classrooms as a Strategy to Improve Mathematics Teaching and Learning

Michael Driskill (Math for America ), Esther Enright (Boise State University), Rochelle Gutierrez (University of Illinois), LEAD Jodie Novak (University of Northern Colorado), LEAD Miriam Sherin (Northwestern University), Joi Spencer (University of San Diego), Elizabeth van Es (University of California, Irvine)

Success rates in mathematics as well as recruitment and retention rates in the mathematics pipeline are low at all education levels and are, across predictable demographics, disproportionately low for students who are women, Latin@, Black, American Indian, recent immigrants, emergent bilinguals/multilinguals, and poor. Efforts to address these low rates often focus on programmatic solutions such as creating mentoring or bridge programs to address perceived deficiencies. While these programs achieve some success, evidence suggests that they may not substantially improve students’ subsequent success in mathematics or meaningfully address the ways that students experience mathematics instruction.

The 2017 CIME workshop will focus on observations of mathematics classrooms through the lens of equity. Specifically, we will use observation as a tool for understanding and improving imbalances of access, participation, and power in mathematics teaching and learning. In doing so, we seek to better understand students’ experiences in mathematics classrooms in order to improve academic success, recruitment and retention, and meaningful experiences for historically marginalized populations.

Five questions structure the highly interactive design of the workshop:

1. What does it mean to create an equitable classroom environment? How can the structure of classroom interactions lead to imbalances of access, identity, and power in mathematics teaching and learning? How can such structures be rebuilt to better serve all students?
2. How might observations of mathematics instruction help us to identify power dynamics in classrooms? What language is helpful to describe interactions in mathematics classrooms? What might we learn from observations about how culture and identity are developed for some students but not others? What do classroom observations reveal about how instruction supports or discourages engagement in mathematics for students of different backgrounds?
3. What does it mean to observe interactions in a mathematics classroom with an eye towards equity? What language is helpful to describe interactions in mathematics classrooms? How do we observe and describe interactions among students, between students and mathematics, between students and instructors, and between students and resources (i.e., textbooks, computers, chalkboards, manipulatives)?
4. What professional experiences can support mathematics instructors to learn how to observe for, describe, interpret, and productively address interactions in the mathematics classroom from the lens of equity? What professional experiences can support mathematics instructors to increase the number of equitable interactions and decrease the number of inequitable ones in their classrooms?
5. What measures might be useful in tracking our progress in learning to see, describe, interpret, and productively address (in)equitable interactions in mathematics classrooms? What measures and tools might be useful in tracking the impacts on instruction and student learning? How might we develop infrastructure to help with this work (video library, faculty resources, etc.)?

Mar 15, 2017
Wednesday
 03:30 PM - 04:00 PM Registration 04:00 PM - 04:30 PM Conference Overview Deborah Ball (University of Michigan), David Eisenbud (MSRI - Mathematical Sciences Research Institute) 04:30 PM - 06:00 PM Plenary Presentation: Equity: How the E-word helps and hurts our cause in mathematics education Rochelle Gutierrez (University of Illinois) 06:00 PM - 07:00 PM Reception
Mar 16, 2017
Thursday
 09:00 AM - 10:30 AM Plenary Presentation: I DO (NOT) Belong: Experiences of Black Women and Girls in Mathematics Education Nicole Joseph (Vanderbilt University) 10:30 AM - 11:00 AM Break 11:00 AM - 12:00 PM Workshop Sessions Joi Spencer (University of San Diego), Darryl Yong (Harvey Mudd College) 12:00 PM - 01:00 PM Lunch 01:00 PM - 02:00 PM Small Group Discussions 02:00 PM - 03:00 PM Opening the Gateway to STEM Disciplines: What Have We Learned From the Arlington Emerging Scholars Program in Calculus? James Álvarez (University of Texas Arlington) 03:00 PM - 03:30 PM Tea Break 03:30 PM - 04:30 PM Workshop Sessions Haiwen Chu (WestEd), Victoria Hand (University of Colorado at Boulder), Rebecca Perry (WestEd), Elizabeth van Es (University of California, Irvine) 04:30 PM - 05:00 PM Where are we now?
Mar 17, 2017
Friday
 08:30 AM - 10:30 AM Plenary Presentation: Turning Conversations into Actions: Addressing Inequities in Mathematics Classrooms Dorothy White (University of Georgia) 10:30 AM - 11:00 AM Break 11:00 AM - 12:00 PM Workshop Sessions Aditya Adiredja (University of Arizona), Victoria Bonaccorso (Montclair State University), Lauren Brady (Park East High School), Michael Driskill (Math for America ), Dave Henry (University at Buffalo (SUNY)), Elizabeth Kent (Buffalo Public Schools), Eileen Murray (Montclair State University), David Wilson (University at Buffalo (SUNY)), Nilam Yagielski (Sweet Home High School) 12:00 PM - 01:00 PM Lunch 01:00 PM - 02:00 PM Workshop Sessions Sylvia Celedón-Pattichis (University of New Mexico), Esther Enright (Boise State University) 02:00 PM - 03:00 PM Small Group Discussion 03:00 PM - 03:30 PM Tea Break 03:30 PM - 04:00 PM Small Group Report Out (Gallery Walk) 04:00 PM - 05:00 PM Closing Activity

No Organizers Assigned Yet.

Mar 03, 2017
Friday
 08:00 AM - 08:30 AM Coffee and Pastries 08:30 AM - 08:40 AM Welcome (David Eisenbud) 08:40 AM - 09:10 AM Some interactions between harmonic analysis and analytic number theory Terence Tao (University of California, Los Angeles) 09:10 AM - 10:45 AM Business Meeting 10:45 AM - 11:15 AM Tea Break 11:15 AM - 11:45 AM Smooth L2 Distances and Zeros of Approximations of Dedekind Zeta Functions Maria Nastasescu (Brown University) 11:45 AM - 12:15 PM Algebraic structure in incidence geometric and harmonic analytic problems Marina Iliopoulou (University of California, Berkeley) 12:15 PM - 02:00 PM Lunch in the Atrium 02:00 PM - 02:45 PM Navajo Nation Math Circles: Lessons Taught and Learned Tatiana Shubin (San Jose State University) 02:45 PM - 03:30 PM Snow Business: Scientific Computing in the Movies and the Classroom Joseph Teran (University of California, Los Angeles) 03:30 PM - 04:00 PM Tea Break 04:00 PM - 04:45 PM Making mathematics software easily accessible over the web William Stein (University of Washington) 04:45 PM - 05:00 PM News from the NSF (Henry Warchall) 05:30 PM - 05:35 PM Bus departs for Evans Hall 06:00 PM - 08:00 PM Annual Banquet for Trustees and Sponsors
11. # WorkshopIntroductory Workshop: Analytic Number Theory

Andrew Granville (Université de Montréal), LEAD Emmanuel Kowalski (ETH Zurich), Kaisa Matomäki (University of Turku), Philippe Michel (École Polytechnique Fédérale de Lausanne (EPFL))

The introductory workshop will present, through short minicourses and introductory lectures, the main topics that will be the subject of much of the Analytic Number Theory Programme at MSRI. These topics include the theory of multiplicative functions, the theory of modular forms and L-functions, the circle method, sieve methods, and the theory of exponential sums over finite fields

Feb 06, 2017
Monday
 09:00 AM - 09:15 AM Welcome 09:15 AM - 10:00 AM Introductory talk (Ph. Michel) -- targeted in particular to members of the harmonic analysis program Philippe Michel (École Polytechnique Fédérale de Lausanne (EPFL)) 10:00 AM - 10:30 AM Break 10:30 AM - 11:30 AM Mini-course on multiplicative functions Kaisa Matomäki (University of Turku), Maksym Radziwill (McGill University) 11:30 AM - 02:00 PM Lunch 02:00 PM - 03:00 PM Geometric analytic number theory Jordan Ellenberg (University of Wisconsin-Madison) 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM Moments of arithmetical sequences Daniel Fiorilli (University of Ottawa) 04:45 PM - 05:45 PM The Kuznetsov Formula, Kloostermania and Applications Ian Petrow (ETH Zürich)
Feb 07, 2017
Tuesday
 09:30 AM - 10:30 AM $\ell$-adic trace functions in analytic number theory Philippe Michel (École Polytechnique Fédérale de Lausanne (EPFL)) 10:30 AM - 11:00 AM Break 11:00 AM - 12:00 PM A glimpse at arithmetic quantum chaos Gergely Harcos (Central European University) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Quadratic twists of elliptic curves with 3-torsion Robert Lemke Oliver (Tufts University) 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM Mini-course on multiplicative functions Kaisa Matomäki (University of Turku), Maksym Radziwill (McGill University) 04:30 PM - 06:20 PM Reception
Feb 08, 2017
Wednesday
 09:30 AM - 10:30 AM The Kuznetsov Formula, Kloostermania and Applications Ian Petrow (ETH Zürich) 10:30 AM - 11:00 AM Break 11:00 AM - 12:00 PM $\ell$-adic trace functions in analytic number theory Philippe Michel (École Polytechnique Fédérale de Lausanne (EPFL))
Feb 09, 2017
Thursday
 09:30 AM - 10:30 AM Large fixed order character sums Youness Lamzouri (York University) 10:30 AM - 11:00 AM Break 11:00 AM - 12:00 PM On Epstein's zeta function and related results in the geometry of numbers Anders Sodergren (Chalmers University of Technology) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Mini-course on multiplicative functions Kaisa Matomäki (University of Turku), Maksym Radziwill (McGill University) 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM $\ell$-adic trace functions in analytic number theory Philippe Michel (École Polytechnique Fédérale de Lausanne (EPFL))
Feb 10, 2017
Friday
 09:30 AM - 10:30 AM Trace functions and special functions Will Sawin (ETH Zürich) 10:30 AM - 11:00 AM Break 11:00 AM - 12:00 PM The Kuznetsov Formula, Kloostermania and Applications Ian Petrow (ETH Zürich) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Variations on the Chebychev bias phenomenon Florent Jouve (Université de Bordeaux I) 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM L-functions and spectral summation formulae for the symplectic group Valentin Blomer (Georg-August-Universität zu Göttingen)
12. # WorkshopConnections for Women: Analytic Number Theory

LEAD Chantal David (Concordia University), Kaisa Matomäki (University of Turku), Lillian Pierce (Duke University), Kannan Soundararajan (Stanford University), Terence Tao (University of California, Los Angeles)

This workshop will consist of lectures on the current state of research in analytic number theory, given by prominent women and men in the field.  The workshop is open to all graduate students, post-docs, and researchers in areas related to the program; it will also include a panel discussion session among female researchers on career issues, as well as other social events

Feb 02, 2017
Thursday
 09:00 AM - 09:15 AM Welcome 09:15 AM - 10:15 AM Correlations of multiplicative functions Lilian Matthiesen (Royal Institute of Technology (KTH)) 10:15 AM - 10:45 AM Break 10:45 AM - 11:45 AM The distribution of consecutive prime biases Robert Lemke Oliver (Tufts University) 11:45 AM - 12:15 PM Partitions into Polynomial Values Ayla Gafni (University of Rochester) 12:15 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Moments of quadratic Dirichlet L-functions in function fields Alexandra Florea (Stanford University) 03:00 PM - 04:00 PM Tea and Poster Session 04:00 PM - 04:30 PM Determination of elliptic curves by their adjoint p-adic L-functions Maria Nastasescu (Brown University) 04:30 PM - 05:30 PM Panel Discussion 06:30 PM - 08:00 PM Dinner at the Taste of Himlayas
Feb 03, 2017
Friday
 09:15 AM - 10:15 AM Sieve weights and their smoothings Dimitris Koukoulopoulos (Université de Montréal) 10:15 AM - 10:45 AM Break 10:45 AM - 11:45 AM Bounding l-torsion in class groups of families of number fields of arbitrary degree Caroline Turnage-Butterbaugh (Duke University) 11:45 AM - 12:15 PM Quadratic and cubic diagonal equations Julia Brandes (University of Göteborg) 12:15 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Average root number in families of elliptic curves Chantal David (Concordia University) 03:00 PM - 03:30 PM Sums of distinct divisors Lola Thompson (Oberlin College) 03:30 PM - 04:00 PM Tea Break
13. # WorkshopIntroductory Workshop: Harmonic Analysis

Allan Greenleaf (University of Rochester), LEAD Michael Lacey (Georgia Institute of Technology), Svitlana Mayboroda (University of Minnesota, Twin Cities), Betsy Stovall (University of Wisconsin-Madison), Brian Street (University of Wisconsin-Madison)

This week-long workshop will serve as an introduction for graduate students, postdocs, and other researchers to the main themes of the program.  It will feature accessible talks by a number of leading harmonic analysts, including several short courses on the core ideas and techniques in the field.  There will also be a problem session, to which all participants are encouraged to contribute.

Jan 23, 2017
Monday
 09:15 AM - 09:30 AM Welcome 09:30 AM - 10:30 AM Analysis and PDEs on uniformly rectifiable sets Svitlana Mayboroda (University of Minnesota, Twin Cities) 10:30 AM - 11:00 AM Break 11:00 AM - 12:00 PM Sharpened affine-invariant inequalities Michael Christ (University of California, Berkeley) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Introduction to decoupling Larry Guth (Massachusetts Institute of Technology) 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM The energy critical Yang-Mills flow 2 Daniel Tataru (University of California, Berkeley)
Jan 24, 2017
Tuesday
 09:30 AM - 10:30 AM Regularity and singularities of stable critical points and higher critical points in variational problems David Jerison (Massachusetts Institute of Technology) 10:30 AM - 11:00 AM Break 11:00 AM - 12:00 PM Ingredients of the proof of decoupling Larry Guth (Massachusetts Institute of Technology) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM The Kakeya needle problem for rectifiable sets Marianna Csornyei (University of Chicago) 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM Analysis and PDEs on uniformly rectifiable sets Svitlana Mayboroda (University of Minnesota, Twin Cities) 04:30 PM - 06:20 PM Reception
Jan 25, 2017
Wednesday
 09:30 AM - 10:30 AM Sharpened affine-invariant inequalities Michael Christ (University of California, Berkeley) 10:30 AM - 11:00 AM Break 11:00 AM - 12:00 PM Energy dispersed Yang-Mills waves Daniel Tataru (University of California, Berkeley)
Jan 26, 2017
Thursday
 09:30 AM - 10:30 AM The proof of decoupling for the parabola Larry Guth (Massachusetts Institute of Technology) 10:30 AM - 11:00 AM Break 11:00 AM - 12:00 PM Morawetz estimates and nonconcentration of Yang-Mills waves Daniel Tataru (University of California, Berkeley) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Regularity and singularities of stable critical points and higher critical points in variational problems David Jerison (Massachusetts Institute of Technology) 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM The Kakeya needle problem for rectifiable sets Marianna Csornyei (University of Chicago)
Jan 27, 2017
Friday
 09:30 AM - 10:30 AM Weighted Inequalities: Two Weight and Ap Michael Lacey (Georgia Institute of Technology) 10:30 AM - 11:00 AM Break 11:00 AM - 12:00 PM The Kakeya needle problem for rectifiable sets Marianna Csornyei (University of Chicago) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Regularity and singularities of stable critical points and higher critical points in variational problems David Jerison (Massachusetts Institute of Technology) 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM Weighted Inequalities: Sparse Forms Michael Lacey (Georgia Institute of Technology)
14. # WorkshopConnections for Women: Harmonic Analysis

Svitlana Mayboroda (University of Minnesota, Twin Cities), LEAD Betsy Stovall (University of Wisconsin-Madison)

This workshop will highlight the work of several prominent women working in harmonic analysis, including some of the field's rising stars.  There will also be a panel discussion.  There will also be a contributed poster session.  This workshop is open to, and poster contributions are welcome from all mathematicians.

Jan 19, 2017
Thursday
 09:00 AM - 09:15 AM Welcome to MSRI 09:15 AM - 10:15 AM Configurations in sets Malabika Pramanik (University of British Columbia) 10:15 AM - 11:00 AM Break 11:00 AM - 11:30 AM The obstacle problem for the fractional Laplacian with drift Mariana Smit Vega Garcia (University of Washington) 11:30 AM - 12:00 PM On the interior of sums of fractal sets krystal taylor (Ohio State University) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM From weighted estimates to change of law. Stefanie Petermichl (Université de Toulouse III (Paul Sabatier)) 03:00 PM - 04:00 PM Tea and Poster Session 04:00 PM - 04:30 PM Two-Weight Inequalities for Commutators with Calderon-Zygmund Operators Irina Holmes (Washington University) 04:30 PM - 05:30 PM Panel Discussion (Jill Pipher, Tatiana toro, Stefanie Petermichl, Loredana Lanzani) 06:30 PM - 08:20 PM Dinner at the Taste of Himlayas
Jan 20, 2017
Friday
 09:00 AM - 10:00 AM Regularity of solutions to second order divergence form elliptic equations Jill Pipher (Brown University) 10:00 AM - 11:00 AM Break & Poster Session 11:00 AM - 12:00 PM Sharp arithmetic spectral transitions and universal hierarchical structure of quasiperiodic eigenfunctions svetlana jitomirskaya (University of California, Irvine) 12:00 PM - 02:00 PM Lunch 02:00 PM - 02:30 PM Fundamental solutions and Green functions for non-homogeneous elliptic systems Blair Davey (City College, CUNY) 02:30 PM - 03:00 PM Functional model for finite rank perturbations Constanze Liaw (Baylor University) 03:00 PM - 03:30 PM Tea 03:30 PM - 04:00 PM Radial Fourier Multipliers Laura Cladek (University of British Columbia) 04:00 PM - 05:00 PM Harmonic Analysis techniques in Several Complex Variables Loredana Lanzani (Syracuse University)