# Mathematical Sciences Research Institute

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1. # Summer Graduate SchoolIncompressible Fluid Flows at High Reynolds Number

The purpose of this two week workshop is to introduce graduate students to state-of-the-art methods and results in mathematical fluid dynamics. In the first week, we will discuss the mathematical foundations and modern analysis aspects of the Navier-Stokes and Euler equations. In the second week, we will run two courses concurrently on the topics of inviscid limits and hydrodynamic stability. Specifically, one course will focus on boundary layers in high Reynolds number flows and the Prandtl equations while the other will focus on mixing and connections to turbulence. Through the lectures and associated problem sessions, the students will learn about a number of new analysis tools and principles of fluid mechanics that are not always taught in a graduate school curriculum.

Jul 27, 2015
Monday
 08:45 AM - 09:00 AM MSRI Intro 09:00 AM - 10:30 AM Lecture Vlad Vicol (Princeton University) 10:30 AM - 11:00 AM Break 11:00 AM - 12:00 PM Teaching Assistant Session 12:00 PM - 01:30 PM Lunch 01:30 PM - 03:00 PM Lecture Jacob Bedrossian (University of Maryland) 03:00 PM - 04:00 PM Tea 04:00 PM - 05:00 PM Teaching Assistant Session
Jul 28, 2015
Tuesday
 09:00 AM - 10:30 AM Lecture Vlad Vicol (Princeton University) 10:30 AM - 11:00 AM Break 11:00 AM - 12:00 PM Teaching Assistant Session 12:00 PM - 01:30 PM Lunch 01:30 PM - 03:00 PM Lecture Jacob Bedrossian (University of Maryland) 03:00 PM - 04:00 PM Tea 04:00 PM - 05:00 PM Teaching Assistant Session
Jul 29, 2015
Wednesday
 08:30 AM - 10:00 AM Lecture Vlad Vicol (Princeton University) 10:00 AM - 10:30 AM Break 10:30 AM - 11:30 AM Teaching Assistant Session 11:30 AM - 02:00 PM BBQ Lunch 02:00 PM - 03:30 PM Lecture Vlad Vicol (Princeton University) 03:30 PM - 04:00 PM Tea 04:00 PM - 05:00 PM Teaching Assistant Session
Jul 30, 2015
Thursday
 09:00 AM - 10:30 AM Lecture Jacob Bedrossian (University of Maryland) 10:30 AM - 11:00 AM Break 11:00 AM - 12:00 PM Teaching Assistant Session 12:00 PM - 01:30 PM Lunch 01:30 PM - 03:00 PM Lecture Jacob Bedrossian (University of Maryland) 03:00 PM - 04:00 PM Tea 04:00 PM - 05:00 PM Teaching Assistant Session
Jul 31, 2015
Friday
 09:00 AM - 10:30 AM Lecture Jacob Bedrossian (University of Maryland) 10:30 AM - 11:00 AM Break 11:00 AM - 12:00 PM Teaching Assistant Session 12:00 PM - 01:30 PM Lunch 01:30 PM - 03:00 PM Lecture Vlad Vicol (Princeton University) 03:00 PM - 03:30 PM Tea 03:30 PM - 05:00 PM Lecture Roman Shvydkoy (University of Illinois, Chicago)
Aug 03, 2015
Monday
 09:00 AM - 10:30 AM Lecture Vlad Vicol (Princeton University) 10:30 AM - 11:00 AM Break 11:00 AM - 12:00 PM Teaching Assistant Session 12:00 PM - 01:30 PM Lunch 01:30 PM - 03:00 PM Lecture Jacob Bedrossian (University of Maryland) 03:00 PM - 03:30 PM Tea 04:00 PM - 05:00 PM Teaching Assistant Session
Aug 04, 2015
Tuesday
 09:00 AM - 10:30 AM Lecture Vlad Vicol (Princeton University) 10:30 AM - 11:00 AM Break 11:00 AM - 12:00 PM Teaching Assistant Session 12:00 PM - 01:30 PM Lunch 01:30 PM - 03:00 PM Lecture Jacob Bedrossian (University of Maryland) 03:00 PM - 03:30 PM Tea 03:30 PM - 05:00 PM Lecture Roman Shvydkoy (University of Illinois, Chicago)
Aug 05, 2015
Wednesday
 09:00 AM - 10:30 AM Lecture Vlad Vicol (Princeton University) 10:30 AM - 11:00 AM Break 11:00 AM - 12:00 PM Teaching Assistant Session 12:00 PM - 01:30 PM Lunch 01:30 PM - 03:00 PM Lecture Jacob Bedrossian (University of Maryland) 03:00 PM - 04:00 PM Tea 03:30 PM - 05:00 PM Lecture Roman Shvydkoy (University of Illinois, Chicago)
Aug 06, 2015
Thursday
 09:00 AM - 10:30 AM Lecture Vlad Vicol (Princeton University) 10:30 AM - 11:00 AM Tea 11:00 AM - 12:00 PM Teaching Assistant Session 12:00 PM - 01:30 PM Lunch 01:30 PM - 03:00 PM Lecture Jacob Bedrossian (University of Maryland) 03:00 PM - 04:00 PM Tea 04:00 PM - 05:00 PM Teaching Assistant Session
Aug 07, 2015
Friday
 09:00 AM - 10:30 AM Lecture Vlad Vicol (Princeton University) 10:30 AM - 11:00 AM Break 11:00 AM - 12:00 PM Teaching Assistant Session 12:00 PM - 01:30 PM Lunch 01:30 PM - 03:00 PM Lecture Jacob Bedrossian (University of Maryland) 03:00 PM - 04:00 PM Tea 04:00 PM - 05:00 PM Teaching Assistant Session
2. # Summer Graduate SchoolGaps between Primes and Analytic Number Theory

Dimitris Koukoulopoulos (Université de Montréal), LEAD Emmanuel Kowalski (ETH Zurich), James Maynard (University of Oxford), Kannan Soundararajan (Stanford University)

These courses will give students a full overview of the results of Zhang and Maynard on gaps between primes, and will provide them will a clear understanding of the tools involved. This will make accessible a significant part of modern analytic number theory. The lecturers will also make sure to include, within their course, examples and discussions going further than is strictly required to understand the proofs of Zhang and Maynard, e.g., in the direction of automorphic forms and the Riemann Hypothesis over finite fields.

Jul 13, 2015
Monday
 08:45 AM - 09:00 AM MSRI Intro 09:00 AM - 10:00 AM Lecture Dimitris Koukoulopoulos (Université de Montréal) 10:00 AM - 10:30 AM Coffee 10:30 AM - 11:30 AM Lecture Dimitris Koukoulopoulos (Université de Montréal) 11:30 AM - 12:30 PM Discussion, short talks 12:30 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Lecture Kannan Soundararajan (Stanford University) 03:00 PM - 03:30 PM Tea 03:30 PM - 05:00 PM Discussion/Problems
Jul 14, 2015
Tuesday
 09:00 AM - 10:00 AM Lecture Dimitris Koukoulopoulos (Université de Montréal) 10:00 AM - 10:30 AM Coffee 10:30 AM - 11:30 AM Lecture Kannan Soundararajan (Stanford University) 11:30 AM - 12:30 PM Discussion, short talks 12:30 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Lecture Dimitris Koukoulopoulos (Université de Montréal) 03:00 PM - 03:30 PM Tea 03:30 PM - 05:00 PM Discussion/Problems
Jul 15, 2015
Wednesday
 09:00 AM - 10:00 AM Lecture James Maynard (University of Oxford) 10:00 AM - 10:30 AM Coffee 10:30 AM - 11:30 AM Lecture Dimitris Koukoulopoulos (Université de Montréal) 11:30 AM - 12:30 PM Discussion, short talks 12:30 PM - 02:00 PM BBQ Lunch 02:00 PM - 03:00 PM Extra Lecture/Discussion 03:00 PM - 03:30 PM Tea 03:30 PM - 05:00 PM Discussion/Problems
Jul 16, 2015
Thursday
 09:00 AM - 10:00 AM Lecture Kannan Soundararajan (Stanford University) 10:00 AM - 10:30 AM Coffee 10:30 AM - 11:30 AM Lecture Dimitris Koukoulopoulos (Université de Montréal) 11:30 AM - 12:30 PM Discussion, short talks 12:30 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Extra Lecture/Discussion 03:00 PM - 03:30 PM Tea 03:30 PM - 05:00 PM Discussion/Problems
Jul 17, 2015
Friday
 09:00 AM - 10:00 AM Lecture James Maynard (University of Oxford) 10:00 AM - 10:30 AM Coffee 10:30 AM - 11:30 AM Lecture Kannan Soundararajan (Stanford University) 11:30 AM - 12:30 PM Discussion, short talks 12:30 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Lecture Emmanuel Kowalski (ETH Zurich) 03:00 PM - 03:30 PM Tea 03:30 PM - 05:00 PM Discussion/Problems
Jul 20, 2015
Monday
 09:00 AM - 10:00 AM Lecture James Maynard (University of Oxford) 10:00 AM - 10:30 AM Coffee 10:30 AM - 11:30 AM Lecture Kannan Soundararajan (Stanford University) 11:30 AM - 12:30 PM Discussion, short talks 12:30 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Lecture: The transition to life as a faculty member: jobs, associations, and professional development Francis Su (Harvey Mudd College) 03:00 PM - 03:30 PM Tea 03:30 PM - 05:00 PM Discussion/Problems
Jul 21, 2015
Tuesday
 09:00 AM - 10:00 AM Lecture Emmanuel Kowalski (ETH Zurich) 10:00 AM - 10:30 AM Coffee 10:30 AM - 11:30 AM Lecture Kannan Soundararajan (Stanford University) 11:30 AM - 12:30 PM Discussion, short talks 12:30 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Extra Lecture/Discussion 03:00 PM - 03:30 PM Tea 03:30 PM - 05:00 PM Discussion/Problems
Jul 22, 2015
Wednesday
 09:00 AM - 10:00 AM Lecture Emmanuel Kowalski (ETH Zurich) 10:00 AM - 10:30 AM Coffee 10:30 AM - 11:30 AM Lecture James Maynard (University of Oxford) 11:30 AM - 12:30 PM Discussion, short talks 12:30 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Lecture Emmanuel Kowalski (ETH Zurich) 03:00 PM - 03:30 PM Tea 03:30 PM - 05:00 PM Discussion/Problems
Jul 23, 2015
Thursday
 09:00 AM - 10:00 AM Lecture James Maynard (University of Oxford) 10:00 AM - 10:30 AM Coffee 10:30 AM - 11:30 AM Lecture Emmanuel Kowalski (ETH Zurich) 11:30 AM - 12:30 PM Discussion, short talks 12:30 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Extra Lecture/Discussion 03:00 PM - 03:30 PM Tea 03:30 PM - 05:00 PM Discussion/Problems
Jul 24, 2015
Friday
 09:00 AM - 10:00 AM Lecture Emmanuel Kowalski (ETH Zurich) 10:00 AM - 10:30 AM Coffee 10:30 AM - 11:30 AM Lecture James Maynard (University of Oxford) 11:30 AM - 12:30 PM Discussion, short talks 12:30 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Extra Lecture/Discussion 03:00 PM - 03:30 PM Tea 03:30 PM - 05:30 PM Discussion/Problems
3. # Summer Graduate SchoolGeometric Group Theory

LEAD John Mackay (University of Bristol), Anne Thomas (University of Sydney), Kevin Wortman (University of Utah)

The aim of this workshop is to introduce graduate students to some specific core topics which will be under study at the upcoming MSRI program on Geometric Group Theory (GGT) in 2016.  GGT encompasses a wide range of topics. The four minicourse topics have been chosen because they are central themes in GGT and in the upcoming MSRI program. Moreover, each topic is accessible to students with a range of backgrounds: the basic definitions are straightforward, with many simple and illuminating examples to work through, yet lead through to important questions in current research.

Jun 15, 2015
Monday
 09:00 AM - 09:15 AM Introduction to MSRI 09:15 AM - 10:30 AM Lecture Pallavi Dani (Louisiana State University) 10:30 AM - 11:00 AM Break 11:00 AM - 12:15 PM Problem Class 12:15 PM - 01:45 PM Lunch 01:45 PM - 03:15 PM Lecture Alex Furman (University of Illinois at Chicago) 03:15 PM - 03:45 PM Tea 03:45 PM - 05:00 PM Problem Class
Jun 16, 2015
Tuesday
 09:00 AM - 10:15 AM Lecture Pallavi Dani (Louisiana State University) 10:15 AM - 10:45 AM Break 10:45 AM - 12:15 PM Problem Class 12:15 PM - 01:45 PM Lunch 01:45 PM - 03:00 PM Lecture Alex Furman (University of Illinois at Chicago) 03:00 PM - 03:30 PM Tea 03:30 PM - 05:00 PM Problem Class
Jun 17, 2015
Wednesday
 09:00 AM - 10:15 AM Lecture Pallavi Dani (Louisiana State University) 10:15 AM - 10:45 AM Break 10:45 AM - 11:30 AM Problem Class 11:30 AM - 02:00 PM BBQ Lunch 02:00 PM - 03:15 PM Lecture Alex Furman (University of Illinois at Chicago) 03:15 PM - 03:45 PM Tea 03:45 PM - 04:45 PM Problem Class
Jun 18, 2015
Thursday
 09:00 AM - 10:30 AM Lecture Pallavi Dani (Louisiana State University) 10:30 AM - 11:00 AM Break 11:00 AM - 12:15 PM Problem Class 12:15 PM - 01:45 PM Lunch 01:45 PM - 03:15 PM Lecture Alex Furman (University of Illinois at Chicago) 03:15 PM - 03:45 PM Tea 03:45 PM - 05:00 PM Problem Class
Jun 19, 2015
Friday
 09:00 AM - 10:15 AM Lecture Pallavi Dani (Louisiana State University) 10:15 AM - 10:45 AM Break 10:45 AM - 12:15 PM Problem Class 12:15 PM - 01:45 PM Lunch 01:45 PM - 03:00 PM Lecture Alex Furman (University of Illinois at Chicago) 03:00 PM - 03:30 PM Tea 03:30 PM - 05:00 PM Problem Class
Jun 22, 2015
Monday
 09:00 AM - 10:30 AM Lecture Jason Manning (Cornell University) 10:30 AM - 11:00 AM Break 11:00 AM - 12:15 PM Problem Class 12:15 PM - 01:45 PM Lunch 01:45 PM - 03:15 PM Lecture Matthew Day (University of Arkansas) 03:15 PM - 03:45 PM Tea 03:45 PM - 05:00 PM Problem Class
Jun 23, 2015
Tuesday
 09:00 AM - 10:15 AM Lecture Jason Manning (Cornell University) 10:15 AM - 10:45 AM Break 10:45 AM - 12:15 PM Problem Class 12:15 PM - 01:45 PM Lunch 01:45 PM - 03:00 PM Lecture Matthew Day (University of Arkansas) 03:00 PM - 03:30 PM Tea 03:30 PM - 05:00 PM Problem Class
Jun 24, 2015
Wednesday
 09:30 AM - 10:45 AM Lecture Jason Manning (Cornell University) 10:45 AM - 11:15 AM Break 11:15 AM - 12:15 PM Problem Class 12:15 PM - 01:45 PM Lunch 01:45 PM - 03:00 PM Lecture Matthew Day (University of Arkansas) 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM Problem Class
Jun 25, 2015
Thursday
 09:00 AM - 10:30 PM Lecture Jason Manning (Cornell University) 10:30 AM - 11:00 AM Break 11:00 AM - 12:15 PM Problem Class 12:15 PM - 01:45 PM Lunch 01:45 PM - 03:15 PM Lecture Matthew Day (University of Arkansas) 03:00 PM - 03:30 PM Tea 03:30 PM - 05:00 PM Problem Class
Jun 26, 2015
Friday
 09:00 AM - 10:15 AM Lecture Jason Manning (Cornell University) 10:15 AM - 10:45 AM Break 10:45 AM - 12:15 PM Problem Class 12:15 PM - 01:45 PM Lunch 01:45 PM - 03:00 PM Lecture Matthew Day (University of Arkansas) 03:00 PM - 03:30 PM Tea 03:30 PM - 05:00 PM Problem Class
4. # MSRI-UPMSRI-UP 2015: Geometric Combinatorics Motivated by the Social Sciences

Federico Ardila (San Francisco State University), LEAD Duane Cooper (Morehouse College), Herbert Medina (Loyola Marymount University), Ivelisse M. Rubio (University of Puerto Rico), Francis Su (Harvey Mudd College), Suzanne Weekes (Worcester Polytechnic Institute)

The MSRI-UP summer program is designed for undergraduate students who have completed two years of university-level mathematics courses and would like to conduct research in the mathematical sciences. Due to funding restrictions, only U.S. citizens and permanent residents are eligible to apply and the program cannot accept foreign students regardless of funding. The academic portion of the 2015 program will be led by Prof. Francis Su from Harvey Mudd College.

Jul 24, 2015
Friday
 09:30 AM - 10:15 AM Double-n Circular Societies Edwin Baeza (Purdue University), Nikaya Smith (University of North Carolina), Sarah Yoseph (Claremont Graduate University) 10:15 AM - 11:00 AM An Analogue of the Median Voter Theorem for Approval Voting Ethan Bush (University of Michigan, Flint), Kyle Duke (James Madison University), Miles Stevens (Morehouse College) 11:00 AM - 11:45 AM A Matroid Generalization of Sperner's Lemma Gabriel Andrade (University of Massachusetts Amherst), Andres Rodriguez Rey (San Francisco State University), Alberto Ruiz Sandoval (University of Puerto Rico) 01:15 PM - 02:00 PM Committee Selection with Approval Voting and Hypercubes Caleb Bugg (Morehouse College), Gabriel Elvin (University of California, Los Angeles) 02:00 PM - 02:45 PM The Banquet Seating Problem Michelle Rosado, Michelle Rosado (University of Puerto Rico), Ashley Scruse (Clark Atlanta University), Alexis Jane Torre (University of Arizona) 02:45 PM - 03:30 PM A Volume Argument for Tucker's Lemma Beauttie Kuture (Pomona College), Oscar Leong (Swarthmore College), Christopher Loa (University of Tennessee)
5. # WorkshopAdvances in Homogeneous Dynamics

LEAD Dmitry Kleinbock (Brandeis University), Hee Oh (Yale University), Alireza Salehi Golsefidy (University of California, San Diego), Ralf Spatzier (University of Michigan)

The Advances in Homogeneous Dynamics workshop will feature the speakers whose work is at the forefront of the field. There will be a panel discussion accompanied by an open problem session to lay out possible directions for the research in homogeneous dynamics. Talks will be in a broad range of topics and this will help to build more connections between researchers interested in dynamical systems, number theory and geometry. For example we hope that the involvement of the participants of the other program held at MSRI during the same academic year (Dynamics on Moduli Spaces of Geometric Structures, Spring 2015) would create new connections between the topics. There will be shorter talks presented by early-career researchers

May 11, 2015
Monday
 09:30 AM - 09:45 AM Welcome 09:50 AM - 10:40 AM Effective equidistribution of certain adelic periods Amir Mohammadi (University of Texas, Austin) 10:40 AM - 11:10 AM Tea 11:10 AM - 12:00 PM Quantum ergodicity on large graphs Nalini Anantharaman (Université de Strasbourg) 12:00 PM - 01:30 PM Lunch 01:30 PM - 02:20 PM Geodesic planes in hyperbolic 3-manifolds Hee Oh (Yale University) 02:30 PM - 02:55 PM Equidistribution of expanding translates of curves in homogeneous spaces and its application to Diophantine approximation. Lei Yang (University of Nevada) 02:55 PM - 03:20 PM Entropy in the cusp and singular systems of linear forms Shirali Kadyrov (Nazarbayev University) 03:20 PM - 03:50 PM Tea 03:50 PM - 04:40 PM Local spectral gap Alireza Salehi Golsefidy (University of California, San Diego)
May 12, 2015
Tuesday
 09:30 AM - 10:20 AM Randomness in Diophantine approximation Alexander Gorodnik (University of Bristol) 10:30 AM - 11:00 AM Tea 11:00 AM - 11:50 AM Genericity along curves and applications Corinna Ulcigrai (University of Bristol) 12:00 PM - 01:30 PM Lunch 01:30 PM - 02:20 PM Bernoulli convolutions for algebraic parameters Peter Varju (University of Cambridge) 02:30 PM - 02:55 PM Counting and dynamics in SL_2 Michael Magee (Institute for Advanced Study) 02:55 PM - 03:20 PM Hausdorff dimension of product sets in Lie groups Nicolas de Saxce (Université de Paris XIII (Paris-Nord)) 03:20 PM - 03:50 PM Tea 03:50 PM - 04:40 PM Diophantine approximation for algebraic numbers Hillel Furstenberg (The Hebrew University of Jerusalem) 04:40 PM - 06:20 PM Reception
May 13, 2015
Wednesday
 09:00 AM - 09:50 AM Metric diophantine approximation on Lie groups Emmanuel Breuillard (Université de Paris XI) 09:50 AM - 10:20 AM Tea 10:20 AM - 11:10 AM Escape of mass for measures invariant under the diagonal group Uri Shapira (Technion---Israel Institute of Technology) 11:20 AM - 12:10 PM Oppenheim conjecture and related problems Gregory Margulis (Yale University)
May 14, 2015
Thursday
 09:00 AM - 09:50 AM Effective density of unipotent orbits Elon Lindenstrauss (The Hebrew University of Jerusalem) 10:00 AM - 10:50 AM On integer points in the Hitchin moduli space Marc Burger (ETH Zürich) 10:50 AM - 11:20 AM Tea 11:20 AM - 12:00 PM Concert 12:00 PM - 01:30 PM Lunch 01:30 PM - 02:20 PM Random Dynamics and a formula for Furstenberg, Kullback-Ledrappier Entropy Federico Rodriguez Hertz (Pennsylvania State University) 02:30 PM - 02:55 PM Word metric asymptotics for actions of hyperbolic groups on Gromov hyperbolic spaces Ilya Gekhtman (Rheinische Friedrich-Wilhelms-Universität Bonn) 02:55 PM - 03:20 PM Some Effective Estimates in Reduction Theory of Quadratic Forms Han Li (Wesleyan University) 03:20 PM - 03:55 PM Tea 03:50 PM - 04:40 PM Bottom of spectrum and equivariant family of measures at the boundary in negative curvature. François Ledrappier (University of Notre Dame)
May 15, 2015
Friday
 09:00 AM - 09:50 AM Random walks on semisimple groups Jean-François Quint (Université de Bordeaux I) 09:50 AM - 10:20 AM Tea 10:20 AM - 11:10 AM Global rigidity of Anosov actions by higher rank lattices Zhiren Wang (Pennsylvania State University) 11:20 AM - 12:10 PM Dynamics on the moduli space of flat structures Maryam Mirzakhani (Stanford University) 12:10 PM - 01:30 PM Lunch 01:30 PM - 02:20 PM Kinetic transport in quasicrystals Andreas Strombergsson (Uppsala University) 02:30 PM - 03:20 PM Stiffness for Random Walks on Locally symmetric spaces Alex Eskin (University of Chicago) 03:20 PM - 03:50 PM Tea & Goodbye
6. # WorkshopDynamics on Moduli Spaces

Marc Burger (ETH Zürich), LEAD David Dumas (University of Illinois at Chicago), Olivier Guichard (Université de Strasbourg I (Louis Pasteur)), François Labourie (Universite de Nice Sophia Antipolis), Anna Wienhard (Ruprecht-Karls-Universität Heidelberg)

The Research Workshop of the Dynamics on moduli spaces of geometric structures'' will concentrate on some of the following general interrelated themes:

(1) Geometric structures on the spaces of geometric structures which extend and generalize classical constructions on Teichmüller spaces, such as the Weil-Petersoon metric, the pressure metric, the Teichmüller metric and its geodesic flow, Fenchel-Nielsen coordinates, Fock-Goncharov Thurson-Penner coordinates, and the symplectic and Poisson  geometries

(2) Relations with harmonic maps, Riemann surfaces, complex geometry:  specifically Higgs  bundles, holomorphic differentials (quadratic, cubic, etc.) as parameters  for representations  of the fundamental group, hyperkähler and complex symplectic geometry of  moduli spaces,   lifts of Teichmüller geodesic flows to flat bundles of character varieties

(3) Asymptotic properties of higher Teichmüller spaces, including generalized measured geodesic laminations, Culler-Morgan-Shalen asymptotics of character varieties, degenerations of geometric structures and discrete subgroups

(4) Actions of mapping class groups and outer automorphism groups,  properness criteria for Anosov representations and their generalizations,  properness criteria for non-discrete representations, chaotic actions of  mapping class groups and the monodromy map from structures to  representations

(5) Classification of exotic geometric structures, tameness criteria, generalizations of ending lamination-type invariants to higher rank structures, rigidity and flexibility for thin subgroups, arithmeticity conditions, and geometric transitions

Apr 13, 2015
Monday
 09:15 AM - 09:30 AM Welcome 09:30 AM - 10:30 AM Convergence of quasifuchsian hyperbolic 3-manifolds Richard Canary (University of Michigan) 10:30 AM - 11:00 AM Tea 11:00 AM - 12:00 PM The (asymptotic) location of eigenvalues of a representation in the Hitchin component Andrés Sambarino (Université de Paris VII (Denis Diderot) et Université de Paris VI (Pierre et Marie Curie)) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM A collar lemma for Hitchin representations Tengren Zhang (University of Michigan) 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM Maximal representations of complex hyperbolic lattices Maria Beatrice Pozzetti (University of Warwick)
Apr 14, 2015
Tuesday
 09:30 AM - 10:30 AM The action of a pseudo-Anosov on the Hitchin component Francis Bonahon (University of Southern California) 10:30 AM - 11:00 AM Tea 11:00 AM - 12:00 PM Anosov representations and proper actions Fanny Kassel (Institut des Hautes Études Scientifiques (IHES)) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Coordinates for representation varieties of 3-manifold groups Christian Zickert (University of Maryland) 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM Buildings, spectral networks, and the Riemann-Hilbert correspondence at infinity Pranav Pandit (University of Vienna) 04:30 PM - 06:20 PM Reception
Apr 15, 2015
Wednesday
 09:30 AM - 10:30 AM Three proofs from dynamics of rigidity of surface group actions Kathryn Mann (University of California, Berkeley) 10:30 AM - 11:00 AM Tea 11:00 AM - 12:00 PM Entropy of pseudo-Anosovs which fix homology Ian Agol (University of California, Berkeley)
Apr 16, 2015
Thursday
 09:30 AM - 10:30 AM Non archimedean representations of surface groups in PGL(3) and A2-Euclidean buildings Anne Parreau (Université de Grenoble I (Joseph Fourier)) 10:30 AM - 11:00 AM Tea 11:00 AM - 12:00 PM Degeneration of real projective structures on open surfaces Daniele Alessandrini (Ruprecht-Karls-Universität Heidelberg) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Asymptotic Behavior of Certain Families of Higgs bundles in Hitchin Components Qiongling Li (California Institute of Technology; Aarhus University) 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM A transfer principle: from periods to isoperiodic foliations Bertrand Deroin (École Normale Supérieure)
Apr 17, 2015
Friday
 09:30 AM - 10:30 AM Affine sieve and expansion in linear groups Alireza Salehi Golsefidy (University of California, San Diego) 10:30 AM - 11:00 AM Tea 11:00 AM - 12:00 PM Dynamics and geometry of the Weil Petersson metric Ursula Hamenstädt (Rheinische Friedrich-Wilhelms-Universität Bonn) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Counting closed geodesics on a hyperbolic surface Maryam Mirzakhani (Stanford University)
7. # SeminarMSRI Evans Talk: Dynamics on moduli spaces of flat surfaces - questions and new directions

Maryam Mirzakhani (Stanford University)

Apr 06, 2015
Monday
 04:10 PM - 05:00 PM MSRI Evans Talk: Dynamics on moduli spaces of flat surfaces - questions and new directions Maryam Mirzakhani (Stanford University)
8. # WorkshopCritical Issues in Mathematics Education 2015: Developmental Mathematics: For whom? Toward what ends?

Duane Cooper (Morehouse College), Mark Hoover (University of Michigan), LEAD Robert Megginson (University of Michigan), Richard Sgarlotti (Bay College), Katherine Stevenson (California State University, Northridge)

This workshop will address the critical issue of developmental mathematics at two- and four-year colleges and universities and the broader dynamic of mathematics remediation that occurs at all levels. It will engage mathematicians, K-12 teachers, mathematics educators, and administrators in a conversation about the goals of developmental mathematics and the contributions that our different professional communities make to this work. Key questions that will be addressed are:

1. How do we teach content in ways that acknowledge and leverage each student's prior learning experiences? In particular, how do we take advantage of a student's maturity while refining his or her learning habits where necessary?

2. How can developmental mathematics instruction move students through mathematics which must be relearned while simultaneously gaining momentum on more advanced mathematics (including the development of mathematical practices needed for meaningful mathematical work)?

3. What are strategies for supporting the needs of the wide range of students in developmental mathematics programs--those developing mathematical skills for life in general as well as those developing the foundation necessary to proceed towards a STEM major?  How can we successfully address equity issues raised for students from groups underrepresented in STEM fields? How can developmental mathematics instruction blend synchronous and asynchronous instruction to achieve maximal efficiency and impact?

4. What is the proper balance between addressing the needs of the wide range of students mentioned in the preceding point and keeping instruction and course offerings concise?

5. What are the characteristics, training, and practices of a successful developmental mathematics teacher?

6. What support services enhance the success of a developmental mathematics program?

Mar 18, 2015
Wednesday
 03:30 PM - 04:00 PM Registration 04:00 PM - 04:15 PM Welcome, introductions, and basic overview David Eisenbud (MSRI - Mathematical Sciences Research Institute), Robert Megginson (University of Michigan) 04:15 PM - 05:00 PM Introductory plenary Philip Uri Treisman (University of Texas, Austin) 05:00 PM - 05:20 PM Follow-up questions for Professor Treisman Pamela Burdman (The Opportunity Institute) 05:20 PM - 06:00 PM The Good Shepherd Katherine Stevenson (California State University, Northridge) 06:00 PM - 07:15 PM Reception
Mar 19, 2015
Thursday
 08:30 AM - 09:30 AM Viewing the problem from the community college perspective Carol Edwards (TODOS: Mathematics for ALL), Wade Ellis (West Valley College), Myra Snell (Los Medanos College) 09:30 AM - 10:30 AM Viewing the problem from the K-12 perspective Kate Belin (Fannie Lou Hamer Freedom High School), Lauren Brady (Park East High School), Philip Dituri (New Design High School), Audrey Federman (Math for America), Giselle George-Gilkes (East Side Community High School), Noah Heller (Harvard University), Nalo Lewis (Math for America), Michael Moshos (Math for America) 10:30 AM - 11:00 PM Tea Break 11:00 AM - 12:00 PM Viewing the problem from the mathematics department chair perspective Duane Cooper (Morehouse College), John Squires (Southern Regional Education Board), Peter Trapa (University of Utah) 12:00 PM - 01:00 PM Lunch 01:00 PM - 01:45 PM Plenary Deborah Ball (University of Michigan) 01:45 PM - 02:30 PM Developmental mathematics and the Common Core William McCallum (University of Arizona) 02:30 PM - 03:00 PM Tea Break 03:00 PM - 04:00 PM Non-cognitive issues affecting student performance in mathematics Rachel Beattie (Carnegie Foundation for the Advancement of Teaching), Ann Edwards (Carnegie Foundation for the Advancement of Teaching), April Go Forth (Resources for Indian Student Education), Gregory Larnell (University of Illinois at Chicago), Richard Sgarlotti (Bay College) 04:10 PM - 05:40 PM Parallel sessions
Mar 20, 2015
Friday
 08:30 AM - 09:00 AM The recent announcement of NSF funding opportunities for "Increasing College Opportunity Through Improved Mathematics Success in the First Two Years of College", and other information about NSF Lee Zia (National Science Foundation) 09:00 AM - 09:45 AM There’s Something Happening Here: Lessons on Transformative Mathematics Education from Colorado’s Equity in Excellence Project James Gray (University of Southern California) 09:45 AM - 10:30 AM The view from the Provost’s seat Harry Hellenbrand (California State University, Northridge) 10:30 AM - 11:00 AM Tea Break 11:00 AM - 11:45 AM Recent Reforms in Math Assessment and Developmental Education: Connecting Remediation to College Level Programs of Instruction Thomas Bailey (Teachers College Columbia University) 11:45 AM - 12:30 PM Developmental Mathematics at Community Colleges Katherine Yoshiwara (Los Angeles Pierce College), Bruce Yoshiwara (Los Angeles Pierce College) 12:30 PM - 01:30 PM Lunch 01:30 PM - 02:00 PM The work of the Conference Board of the Mathematical Sciences surrounding developmental mathematics Linda Gojak (National Council of Teachers of Mathematics) 02:00 PM - 03:00 PM Parallel sessions 03:00 PM - 03:30 PM Tea Break 03:30 PM - 04:30 PM A conversation about practical next steps Mark Hoover (University of Michigan) 04:30 PM - 05:00 PM Closing session: Reflections on ideas discussed at the workshop Duane Cooper (Morehouse College), Mark Hoover (University of Michigan), Robert Megginson (University of Michigan), Richard Sgarlotti (Bay College), Katherine Stevenson (California State University, Northridge)
9. # WorkshopHot Topics: Kadison-Singer, Interlacing Polynomials, and Beyond

Sorin Popa (University of California, Los Angeles), LEAD Daniel Spielman (Yale University), Nikhil Srivastava (University of California, Berkeley), Cynthia Vinzant (North Carolina State University)

In a recent paper, Marcus, Spielman and Srivastava solve the Kadison-Singer Problem by proving Weaver's KS2 conjecture and the Paving Conjecture. Their proof involved a technique they called the “method of interlacing families of polynomials” and a “barrier function” approach to proving bounds on the locations of the zeros of real stable polynomials. Using these techniques, they have also proved that there are infinite families of Ramanujan graphs of every degree, and they have developed a very simple proof of Bourgain and Tzafriri's Restricted Invertibility Theorem. The goal of this workshop is to help build upon this recent development by bringing together researchers from the disparate areas related to these techniques, including Functional Analysis, Spectral Graph Theory, Free Probability, Convex Optimization, Discrepancy Theory, and Real Algebraic Geometry.

Mar 09, 2015
Monday
 09:15 AM - 09:30 AM Welcome 09:30 AM - 10:30 AM Hyperbolic polynomials, Strong Rayleigh matroids and the Marcus-Spielman-Srivastava theorem Petter Branden (Royal Institute of Technology (KTH)) 10:30 AM - 11:00 AM Tea 11:00 AM - 12:00 PM Introduction to Interlacing Polynomials, Barrier Functions, and Kadison-Singer Daniel Spielman (Yale University) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Determinants, Hyperbolicity, and Interlacing Cynthia Vinzant (North Carolina State University) 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM An overview of the Matching Polynomial Chris Godsil (University of Waterloo)
Mar 10, 2015
Tuesday
 09:30 AM - 10:30 AM Laws of non-commutative polynomials in $n$-tuples of free variables Dimitri Shlyakhtenko (University of California, Los Angeles) 10:30 AM - 11:00 AM Tea 11:00 AM - 12:00 PM Free probability, random matrices and transport maps Alice Guionnet (École Normale Supérieure de Lyon) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Polynomial convolutions and connections to free probability Adam Marcus (Yale University) 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM Ramanujan graphs from finite free convolutions. Nikhil Srivastava (University of California, Berkeley) 04:30 PM - 06:20 PM Reception
Mar 11, 2015
Wednesday
 09:30 AM - 10:30 AM Towards Constructing Expanders via Lifts: Hopes and Limitations Alexandra Kolla (University of Illinois at Urbana-Champaign) 10:30 AM - 11:00 AM Tea 11:00 AM - 12:00 PM Expanders and box spaces Alain Valette (Université de Neuchâtel)
Mar 12, 2015
Thursday
 09:30 AM - 10:30 AM Commutators in L(X) for some Banach spaces X William Johnson (Texas A & M University) 10:30 AM - 11:00 AM Tea 11:00 AM - 12:00 PM A quantitative version of the commutator theorem for zero trace matrices Gideon Schechtman (Weizmann Institute of Science) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Paving over arbitrary MASAs in von Neumann algebras Stefaan Vaes (Katholieke Universiteit Leuven) 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM A survey of discrepancy theory Nicholas Harvey (University of British Columbia)
Mar 13, 2015
Friday
 09:30 AM - 10:30 AM Hyperbolic Polynomials in Optimization Osman Guler (University of Maryland Baltimore County) 10:30 AM - 11:00 AM Tea 11:00 AM - 12:00 PM Effective-Resistance-Reducing Flows, Spectrally Thin Trees, and Asymmetric TSP Shayan Oveis Gharan (University of Washington) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Approximating the covariance matrix by the empirical covariance matrices; non-limiting random matrix approach Nicole Tomczak-Jaegermann (University of Alberta) 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM Hyperbolicity and determinantal representations for higher-codimensional subvarieties Victor Vinnikov (Ben Gurion University of the Negev)
10. # SeminarMSRI Evans Talk: Dynamics and Integer Points on the Sphere

Elon Lindenstrauss (The Hebrew University of Jerusalem)

Feb 09, 2015
Monday
 04:10 PM - 05:00 PM MSRI Evans Talk: Dynamics and Integer Points on the Sphere Elon Lindenstrauss (The Hebrew University of Jerusalem)
11. # WorkshopIntroductory Workshop: Geometric and Arithmetic Aspects of Homogeneous Dynamics

Manfred Einsiedler (ETH Zürich), LEAD Jean-François Quint (Université de Bordeaux I), Barbara Schapira (Université de Picardie (Jules Verne))

This Introductory Workshop will consist of several introductory lectures and series of lectures on the recent trends in the field, given by experts in the domain. In addition, there will be several shorter talks by young researchers.

Please note that immediately preceding this workshop there is a Connections for Women workshop which will also be introductory in nature.

Feb 02, 2015
Monday
 09:00 AM - 09:15 AM Welcome 09:15 AM - 10:30 AM Homogeneous flows and the statistics of directions Jens Marklof (University of Bristol) 10:30 AM - 11:00 AM Tea 11:00 AM - 12:00 PM Introduction to Ratner's Theorems on Unipotent Flows Dave Morris (University of Lethbridge) 12:00 PM - 01:30 PM Lunch 01:30 PM - 02:30 PM Masser’s conjecture on equivalence of integral quadratic forms Han Li (Wesleyan University) 02:40 PM - 03:25 PM Homogeneous flows and the statistics of directions Jens Marklof (University of Bristol) 03:25 PM - 03:55 PM Tea 03:55 PM - 04:55 PM Exponential decay of matrix coefficients. Hee Oh (Yale University)
Feb 03, 2015
Tuesday
 09:00 AM - 10:00 AM Homogeneous flows and the statistics of directions Jens Marklof (University of Bristol) 10:00 AM - 10:30 AM Tea 10:30 AM - 11:30 AM Introduction to Ratner's Theorems on Unipotent Flows Dave Morris (University of Lethbridge) 11:40 AM - 12:40 PM Quadratic Weyl Sums, Automorphic Functions, and Invariance Principles Francesco Cellarosi (University of Illinois at Urbana-Champaign) 12:40 PM - 02:10 PM Lunch 02:10 PM - 03:10 PM Rigidity of higher rank diagonalisable actions Manfred Einsiedler (ETH Zürich) 03:10 PM - 03:40 PM Tea 03:40 PM - 04:40 PM Exponential decay of matrix coefficients Hee Oh (Yale University) 04:40 PM - 06:20 PM Reception
Feb 04, 2015
Wednesday
 08:40 AM - 10:10 AM Semigroups in semisimple groups Yves Benoist (Université de Paris XI) 10:10 AM - 10:40 AM Tea 10:40 AM - 11:40 AM Introduction to Ratner's Theorems on Unipotent Flows Dave Morris (University of Lethbridge) 11:45 AM - 12:45 PM Unipotent flows on infinite volume manifolds Amir Mohammadi (University of Texas, Austin)
Feb 05, 2015
Thursday
 08:40 AM - 10:10 AM Semigroups in semisimple groups Yves Benoist (Université de Paris XI) 10:10 AM - 10:40 AM Tea 10:40 AM - 11:40 AM Unipotent flows on infinite volume manifolds Amir Mohammadi (University of Texas, Austin) 11:45 AM - 12:45 PM Unipotent flows and L-functions Akshay Venkatesh (Stanford University) 12:45 PM - 02:15 PM Lunch 02:15 PM - 03:15 PM Geometric and arithmetic aspects of bounded orbits on homogeneous spaces Dmitry Kleinbock (Brandeis University) 03:15 PM - 03:45 PM Tea 03:45 PM - 04:45 PM Unipotent flows and quadratic forms (after Linnik) Akshay Venkatesh (Stanford University)
Feb 06, 2015
Friday
 08:40 AM - 09:40 AM Grids with dense values Uri Shapira (Technion---Israel Institute of Technology) 09:40 AM - 10:10 AM Tea 10:10 AM - 11:10 AM Thin groups: arithmetic and geometric viewpoints Elena Fuchs (University of California, Davis) 11:20 AM - 12:20 PM Martin boundary and local limit theorem of Brownian motion on negatively-curved manifolds Seonhee Lim (Seoul National University) 12:20 PM - 01:50 PM Lunch 01:50 PM - 02:50 PM Diophantine approximation on group varieties Anish Ghosh (Tata Institute of Fundamental Research)
12. # WorkshopConnections for Women: Geometric and Arithmetic Aspects of Homogeneous Dynamics

Elon Lindenstrauss (The Hebrew University of Jerusalem), LEAD Hee Oh (Yale University)

This workshop will consist of several mini-courses given by prominent female mathematicians in the field, intended for graduate students, post-docs, and researchers in areas related to the program. The workshop will also include an informal panel discussion session among female researchers on career issues. This workshop is open to all mathematicians.

Jan 29, 2015
Thursday
 09:15 AM - 09:30 AM Welcome 09:30 AM - 10:30 AM The Weyl chamber flow and applications Ursula Hamenstädt (Rheinische Friedrich-Wilhelms-Universität Bonn) 10:30 AM - 11:00 AM Tea 11:00 AM - 12:00 PM Some number-theoretic tools used in homogenous dynamics Svetlana Katok (Pennsylvania State University) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Patterns in primes and dynamics on nilmanifolds Tamar Ziegler (The Hebrew University of Jerusalem) 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM Ergodic properties of horocyclic flows on infinite volume hyperbolic surfaces Barbara Schapira (Université de Picardie (Jules Verne)) 04:45 PM - 05:30 PM Panel Discussion 06:30 PM - 08:30 PM Dinner at Taste of Himalayas
Jan 30, 2015
Friday
 09:30 AM - 10:30 AM Some number-theoretic tools used in homogenous dynamics Svetlana Katok (Pennsylvania State University) 10:30 AM - 11:00 AM Tea 11:00 AM - 12:00 PM The Weyl chamber flow and applications Ursula Hamenstädt (Rheinische Friedrich-Wilhelms-Universität Bonn) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Patterns in primes and dynamics on nilmanifolds Tamar Ziegler (The Hebrew University of Jerusalem) 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM Ergodic properties of horocyclic flows on infinite volume hyperbolic surfaces Barbara Schapira (Université de Picardie (Jules Verne))
13. # WorkshopIntroductory Workshop: Dynamics on Moduli Spaces of Geometric Structures

Richard Canary (University of Michigan), LEAD William Goldman (University of Maryland), Ursula Hamenstädt (Rheinische Friedrich-Wilhelms-Universität Bonn), Alessandra Iozzi (ETH Zürich)

The deformation theory of geometric structures on manifolds  is a subfield of differential geometry and topology, with a heavy infusion of Lie theory. Its richness stems from close relations to dynamical systems, algebraic geometry, representation theory, Lie theory, partial differential equations, number theory, and complex analysis.

The introductory workshop will serve  as an overview to the  program.   It aims to familiarize graduate students, post-docs, and other researchers to the major topics of the program. There will be a number of short courses.

Jan 20, 2015
Tuesday
 09:15 AM - 09:30 AM Welcome 09:30 AM - 10:30 AM Conformal Dynamics Yves Benoist (Université de Paris XI) 10:30 AM - 11:00 AM Tea 11:00 AM - 12:00 PM Introduction to the study of Riemannian Symmetric Spaces Marc Burger (ETH Zürich) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Anosov representations Anna Wienhard (Ruprecht-Karls-Universität Heidelberg) 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM The GL(2,R) action on moduli spaces of translation surfaces Alexander Wright (Stanford University) 04:30 PM - 06:20 PM Reception
Jan 21, 2015
Wednesday
 09:30 AM - 10:30 AM Dynamics on character varieties Yair Minsky (Yale University) 10:30 AM - 11:00 AM Tea 11:00 AM - 12:00 PM Conformal Dynamics Yves Benoist (Université de Paris XI) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Introduction to the study of Riemannian Symmetric Spaces Marc Burger (ETH Zürich) 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM Anosov representations Anna Wienhard (Ruprecht-Karls-Universität Heidelberg)
Jan 22, 2015
Thursday
 09:30 AM - 10:30 AM The GL(2,R) action on moduli spaces of translation surfaces Alexander Wright (Stanford University) 10:30 AM - 11:00 AM Tea 11:00 AM - 12:00 PM Dynamics on character varieties Yair Minsky (Yale University) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Anosov representations Anna Wienhard (Ruprecht-Karls-Universität Heidelberg) 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM Introduction to the study of Riemannian Symmetric Spaces Marc Burger (ETH Zürich)
Jan 23, 2015
Friday
 09:30 AM - 10:30 AM Introduction to the study of Riemannian Symmetric Spaces Marc Burger (ETH Zürich) 10:30 AM - 11:00 AM Tea 11:00 AM - 12:00 PM The GL(2,R) action on moduli spaces of translation surfaces Alexander Wright (Stanford University) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Dynamics on character varieties Yair Minsky (Yale University) 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM Conformal Dynamics Yves Benoist (Université de Paris XI)
14. # WorkshopConnections for Women: Dynamics on Moduli Spaces of Geometric Structures

Virginie Charette (University of Sherbrooke), LEAD Fanny Kassel (Institut des Hautes Études Scientifiques (IHES)), Karin Melnick (University of Maryland), Anna Wienhard (Ruprecht-Karls-Universität Heidelberg)

This two-day workshop will consist of various talks given by prominent female mathematicians in the field.  These will be appropriate for graduate students, post-docs, and researchers in areas related to the program.  The workshop will also include a professional development session.

This workshop is open to all mathematicians.

Jan 15, 2015
Thursday
 08:45 AM - 09:00 AM Welcome 09:00 AM - 10:30 AM Introduction to bounded cohomology and applications to rigidity Alessandra Iozzi (ETH Zürich) 10:30 AM - 11:00 AM Tea 11:00 AM - 12:00 PM Groups acting on the circle Kathryn Mann (University of California, Berkeley) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM An introduction to Lorentzian 3-manifold Youngju Kim (Korea Institute for Advanced Study (KIAS)) 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM Hermitian symmetric spaces Maria Beatrice Pozzetti (University of Warwick) 05:00 PM - 06:30 PM Professional Development Session 07:00 PM - 08:30 PM Dinner at Taste of Himalayas
Jan 16, 2015
Friday
 09:00 AM - 10:30 AM Introduction to Teichmuller spaces Jing Tao (University of Oklahoma) 10:30 AM - 11:00 AM Tea 11:00 AM - 12:00 PM Introduction to quasi-Fuchsian groups Sara Maloni (University of Virginia) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Harmonic Maps And Surface Group Representations Qiongling Li (California Institute of Technology; Aarhus University) 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM What we knew about hyperbolic geometry before we knew about hyperbolic geometry Evelyn Lamb (University of Utah)