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Semester Workshops

08-01-2014 - 12-31-2014

  1. Workshop Introductory Workshop: Geometric Representation Theory

    David Ben-Zvi (University of Texas), Kevin McGerty (University of Oxford)

    Geometric Representation Theory is a very active field, at the center of recent advances in Number Theory and Theoretical Physics. The principal goal of the Introductory Workshop will be to provide a gateway for graduate students and new post-docs to the rich and exciting, but potentially daunting, world of geometric representation theory. The aim is to explore some of the fundamental tools and ideas needed to work in the subject, helping build a cohort of young researchers versed in the geometric and physical sides of the Langlands philosophy.

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    Sep 02, 2014
    Tuesday
    08:45 AM - 09:00 AM
      Welcome
    09:00 AM - 10:00 AM
      Introduction to the Langlands program and the Fundamental Lemma
    Thomas Hales (University of Pittsburgh)
    10:00 AM - 10:30 AM
      Tea
    10:30 AM - 11:30 AM
      The Geometric Langlands Correspondence
    Dima Arinkin (University of Wisconsin)
    11:30 AM - 12:30 PM
      Gauge theory and Langlands duality
    Edward Frenkel (University of California, Berkeley)
    12:30 PM - 02:00 PM
      Lunch
    02:00 PM - 03:00 PM
      Geometry of Quiver varieties
    Victor Ginzburg (University of Chicago)
    03:00 PM - 03:30 PM
      Tea
    03:30 PM - 04:00 PM
      Quivers, curves, Kac polynomials and the number of stable Higgs bundles
    olivier schiffmann (Université Paris-Sud (Orsay))
    04:30 PM - 06:20 PM
      Reception
    Sep 03, 2014
    Wednesday
    09:00 AM - 10:00 AM
      Introduction to the Langlands program and the Fundamental Lemma
    Thomas Hales (University of Pittsburgh)
    10:00 AM - 10:30 AM
      Tea
    10:30 AM - 11:30 AM
      The Geometric Langlands Correspondence
    Dima Arinkin (University of Wisconsin)
    11:30 AM - 12:30 PM
      The Springer Correspondence
    Pramod Achar (Louisiana State University)
    12:30 PM - 02:00 PM
      Lunch
    02:00 PM - 03:00 PM
      Geometry of Quiver varieties
    Victor Ginzburg (University of Chicago)
    03:00 PM - 03:30 PM
      Tea
    03:30 PM - 04:30 PM
      Quivers, curves, Kac polynomials and the number of stable Higgs bundles
    olivier schiffmann (Université Paris-Sud (Orsay))
    Sep 04, 2014
    Thursday
    09:00 AM - 10:00 AM
      Introduction to the Langlands program and the Fundamental Lemma
    Thomas Hales (University of Pittsburgh)
    10:00 AM - 10:30 AM
      Tea
    10:30 AM - 11:30 AM
      The Springer Correspondence
    Pramod Achar (Louisiana State University)
    11:30 AM - 12:30 PM
      Gauge theory and Langlands duality
    Edward Frenkel (University of California, Berkeley)
    12:30 PM - 02:00 PM
      Lunch
    02:00 PM - 03:00 PM
      Geometry of Quiver varieties
    Victor Ginzburg (University of Chicago)
    03:00 PM - 03:30 PM
      Tea
    03:30 PM - 04:30 PM
      Quantizations of symplectic resolutions, part I
    Nicholas Proudfoot (University of Oregon)
    Sep 05, 2014
    Friday
    09:00 AM - 10:00 AM
      The Geometric Langlands Correspondence
    Dima Arinkin (University of Wisconsin)
    10:00 AM - 10:30 AM
      Tea
    10:30 AM - 11:30 AM
      The Springer Correspondence
    Pramod Achar (Louisiana State University)
    11:30 AM - 12:30 PM
      Quantizations of symplectic resolutions, part II
    Nicholas Proudfoot (University of Oregon)
    12:30 PM - 02:00 PM
      Lunch
    02:00 PM - 03:00 PM
      Quivers, curves, Kac polynomials and the number of stable Higgs bundles
    olivier schiffmann (Université Paris-Sud (Orsay))
    03:00 PM - 03:30 PM
      Tea
    03:30 PM - 04:30 PM
      Representations of p-adic groups
    Paul Baum (Pennsylvania State University)
  2. Workshop Connections for Women: Geometric Representation Theory

    LEAD Monica Vazirani (University of California, Davis), Eva Viehmann (TU München)

    Within the broad range of geometric representation theory the Connections Workshop will focus on three research topics in which we expect particularly striking new developments within the next few years:
    * Categorical and geometric structures in representation theory and Lie superalgebras
    * Geometric construction of representations via Shimura varieties and related moduli spaces
    * Hall algebras and representations

    The workshop will bring together researchers from these different topics within geometric representation theory and will thus facilitate a successful start of the semester program. It will give junior researchers from each of these parts of geometric representation theory a broader picture of possible applications and of new developments, and will establish a closer contact between junior and senior researchers.
    This workshop is aimed at encouraging and increasing the active participation of women and members of under-represented groups in the MSRI program. 

    All are welcome to participate in the scientific portions of the workshop and the panel discussion, regardless of gender.

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    Aug 28, 2014
    Thursday
    09:15 AM - 09:30 AM
      Welcome
    09:30 AM - 10:30 AM
      Combinatorics, representations and geometry of algebraic supergroups
    Vera Serganova (University of California, Berkeley)
    10:30 AM - 11:00 AM
      Tea
    11:00 AM - 12:00 PM
      Springer representations and other geometric representations Part 1
    Julianna Tymoczko (Smith College)
    12:00 PM - 02:00 PM
      Lunch
    02:00 PM - 03:00 PM
      Combinatorics, representations and geometry of algebraic supergroups.
    Vera Serganova (University of California, Berkeley)
    03:00 PM - 03:30 PM
      Tea
    03:30 PM - 04:30 PM
      Panel Discussion
    04:30 PM - 05:30 PM
      Poster Session
    06:30 PM - 08:30 PM
      Dinner at Taste of Himalayas
    Aug 29, 2014
    Friday
    09:30 AM - 10:30 AM
      Pro-p-Iwahori-Hecke algebras of p-adic groups.
    Marie-France Vigneras (Université de Paris VII (Denis Diderot))
    10:30 AM - 11:00 AM
      Tea
    11:00 AM - 12:00 PM
      Springer representations and other geometric representations Part 2
    Julianna Tymoczko (Smith College)
    12:00 PM - 02:00 PM
      Lunch
    02:00 PM - 03:00 PM
      Survey over localization theorems for representation theory of Lie algebras
    Christine Huyghe (Université de Strasbourg I (Louis Pasteur))
    03:00 PM - 03:30 PM
      Tea
    03:30 PM - 04:30 PM
      Connected components of moduli spaces of p-divisible groups
    Miaofen Chen (East China Normal University)
  3. Workshop Introductory Workshop: New Geometric Methods in Number Theory and Automorphic Forms

    Laurent Berger (École Normale Supérieure de Lyon), Ariane Mézard (L'Institut de Mathématiques de Jussieu), LEAD Akshay Venkatesh (Stanford University), Shou-Wu Zhang (Princeton University)

    The goal of this workshop is to give a practical introduction to some of the main topics and techniques related to the August-December 2014 MSRI program, "New geometric methods in number theory and automorphic forms."   The workshop is aimed at graduate students and interested researchers in number theory or related fields.  

    There will be  lecture series on periods of automorphic forms, Shimura varieties, and representations of p-adic groups,as well as more advanced topics, including p-adic Hodge theory and the cohomology of arithmetic groups.  

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    Aug 18, 2014
    Monday
    09:15 AM - 09:30 AM
      Welcome
    09:30 AM - 10:30 AM
      Gross--Zagier formula: why is it right
    Shou-Wu Zhang (Princeton University)
    10:30 AM - 11:00 AM
      Tea
    11:00 AM - 12:00 PM
      An example-based introduction to Shimura varieties and their compactifications
    Kai-Wen Lan (University of Minnesota, Twin Cities)
    12:00 PM - 02:00 PM
      Lunch
    02:00 PM - 03:00 PM
      Construction of some modular symbols
    Birgit Speh (Cornell University)
    03:00 PM - 03:30 PM
      Tea
    03:30 PM - 04:30 PM
      Analytic continuation of p-adic modular forms and applications to modularity
    Payman Kassaei (McGill University)
    Aug 19, 2014
    Tuesday
    09:30 AM - 10:30 AM
      Gross--Zagier formula: why is it right?
    Shou-Wu Zhang (Princeton University)
    10:30 AM - 11:00 AM
      Tea
    11:00 AM - 12:00 PM
      An example-based introduction to Shimura varieties and their compactifications
    Kai-Wen Lan (University of Minnesota, Twin Cities)
    12:00 PM - 02:00 PM
      Lunch
    02:00 PM - 03:00 PM
      Construction of some modular symbols
    Birgit Speh (Cornell University)
    03:00 PM - 03:30 PM
      Tea
    03:30 PM - 04:30 PM
      Analytic continuation of p-adic modular forms and applications to modularity
    Payman Kassaei (McGill University)
    04:30 PM - 06:20 PM
      Reception
    Aug 20, 2014
    Wednesday
    09:00 AM - 10:00 AM
      Gross--Zagier formula: why is it right?
    Shou-Wu Zhang (Princeton University)
    10:00 AM - 10:30 AM
      Tea
    10:30 AM - 11:30 AM
      An example-based introduction to Shimura varieties and their compactifications
    Kai-Wen Lan (University of Minnesota, Twin Cities)
    11:30 AM - 12:30 PM
      Aspects of the mod p representation theory of p-adic reductive groups
    Rachel Ollivier (University of British Columbia)
    Aug 21, 2014
    Thursday
    09:30 AM - 10:30 AM
      Cohomology of Arithmetic Groups
    Frank Calegari (Northwestern University)
    10:30 AM - 11:00 AM
      Tea
    11:00 AM - 12:00 PM
      Aspects of the mod p representation theory of p-adic reductive groups
    Rachel Ollivier (University of British Columbia)
    12:00 PM - 02:00 PM
      Lunch
    02:00 PM - 03:00 PM
      An overview of the theory of p-adic Galois representations
    Jared Weinstein (Boston University)
    03:00 PM - 03:30 PM
      Tea
    03:30 PM - 04:30 PM
      Phi-gamma modules and p-adic Hodge theory
    Gabriel Dospinescu (École Normale Supérieure de Lyon)
    Aug 22, 2014
    Friday
    09:30 AM - 10:30 AM
      TBA
    10:30 AM - 11:00 AM
      Tea
    11:00 AM - 12:00 PM
      Cohomology of Arithmetic Groups
    Frank Calegari (Northwestern University)
    12:00 PM - 02:00 PM
      Lunch
    02:00 PM - 03:00 PM
      An overview of the theory of p-adic Galois representations
    Jared Weinstein (Boston University)
    03:00 PM - 03:30 PM
      Tea
    03:30 PM - 04:30 PM
      Phi-gamma modules and p-adic Hodge theory
    Gabriel Dospinescu (École Normale Supérieure de Lyon)
  4. Workshop Connections for Women: New Geometric Methods in Number Theory and Automorphic Forms

    Wenching Li (Pennsylvania State University), LEAD Elena Mantovan (California Institute of Technology), Sophie Morel (Princeton University), Ramdorai Sujatha (University of British Columbia)

    This 2-day workshop will showcase the contributions of female mathematicians to the three main themes of the associated MSRI program: Shimura varieties, p-adic automorphic forms, periods and L-functions. It will bring together women who are working in these areas in all stages of their careers, featuring lectures by both established leaders and emerging researchers. In addition, there will be a poster session open to all participants and an informal panel discussion on career issues.

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    Aug 14, 2014
    Thursday
    09:15 AM - 09:30 AM
      Welcome
    09:30 AM - 10:30 AM
      Generalized Legendre Curves and Abelian Varieties with Quaternion Multiplication
    Ling Long (Louisiana State University)
    10:30 AM - 11:00 AM
      Tea
    11:00 AM - 12:00 PM
      Local heuristics and exact formulas for counting elliptic curves over finite fields
    Julia Gordon (University of British Columbia)
    12:00 PM - 02:00 PM
      Lunch
    02:00 PM - 03:00 PM
      Patching and p-adic local Langlands
    Ana Caraiani (Princeton University)
    03:00 PM - 03:30 PM
      Tea
    03:30 PM - 04:30 PM
      Local-global compatibility of regular algebraic cuspidal automorphic representations when l is not equal to p
    Ila Varma (Princeton University)
    04:30 PM - 05:30 PM
      Panel Discussion
    06:30 PM - 08:30 PM
      Dinner at Taste of Himalayas
    Aug 15, 2014
    Friday
    09:30 AM - 10:30 AM
      Euler systems and the Birch--Swinnerton-Dyer conjecture
    Sarah Zerbes (University College)
    10:30 AM - 11:00 AM
      Tea
    11:00 AM - 12:00 PM
      p-adic families of Eisenstein series and applications
    Ellen Eischen (University of North Carolina)
    12:00 PM - 02:00 PM
      Lunch
    02:00 PM - 03:00 PM
      Newforms for odd orthogonal groups
    Pei-Yu Tsai (California Institute of Technology)
    03:00 PM - 03:30 PM
      Tea
    03:30 PM - 04:30 PM
      Construction of some modular symbols
    Birgit Speh (Cornell University)
  5. Summer Graduate School Geometry and Analysis

    Hans-Joachim Hein (Imperial College, London), LEAD Aaron Naber (Massachusetts Institute of Technology)

    Geometric and complex analysis is the application of tools from analysis to study questions from geometry and topology. This two week summer course will provide graduate students with the necessary background to begin studies in the area. The first week will consist of introductory courses on geometric analysis, complex analysis, and Riemann surfaces. The second week will consist of more advanced courses on the regularity theory of Einstein manifolds, Kahler-Einstein manifolds, and the analysis of Riemann surfaces.

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    Jul 28, 2014
    Monday
    09:15 AM - 09:30 AM
      Intro to MSRI
    09:30 AM - 10:30 AM
      Lecture
    Aaron Naber (Massachusetts Institute of Technology)
    10:30 AM - 11:00 AM
      Break
    11:00 AM - 12:00 PM
      Lecture
    Jacob Bernstein (Johns Hopkins University)
    12:00 PM - 02:00 PM
      Lunch Break
    02:00 PM - 03:00 PM
      Lecture
    Hans-Joachim Hein (Imperial College, London)
    03:00 PM - 03:30 PM
      Tea Break
    03:30 PM - 04:30 PM
      TA Session
    Jul 29, 2014
    Tuesday
    09:30 AM - 10:30 AM
      Lecture
    Aaron Naber (Massachusetts Institute of Technology)
    10:30 AM - 11:00 AM
      Break
    11:00 AM - 12:00 PM
      Lecture
    Jacob Bernstein (Johns Hopkins University)
    12:00 PM - 02:00 PM
      Lunch Break
    02:00 PM - 03:00 PM
      Lecture
    Hans-Joachim Hein (Imperial College, London)
    03:00 PM - 03:30 PM
      Tea Break
    03:30 PM - 04:30 PM
      TA Session
    Jul 30, 2014
    Wednesday
    09:30 AM - 10:30 AM
      Lecture
    Aaron Naber (Massachusetts Institute of Technology)
    10:30 AM - 11:30 AM
      Lecture
    Jacob Bernstein (Johns Hopkins University)
    11:30 AM - 02:00 PM
      BBQ Lunch
    02:00 PM - 03:00 PM
      Lecture
    Hans-Joachim Hein (Imperial College, London)
    03:00 PM - 03:30 PM
      Tea Break
    03:30 PM - 04:30 PM
      TA Session
    Jul 31, 2014
    Thursday
    09:30 AM - 10:30 AM
      Lecture
    Aaron Naber (Massachusetts Institute of Technology)
    10:30 AM - 11:00 AM
      Break
    11:00 AM - 12:00 PM
      Lecture
    Jacob Bernstein (Johns Hopkins University)
    12:00 PM - 02:00 PM
      Lunch Break
    02:00 PM - 03:00 PM
      Lecture
    Hans-Joachim Hein (Imperial College, London)
    03:00 PM - 03:30 PM
      Tea Break
    03:30 PM - 04:30 PM
      TA Session
    Aug 01, 2014
    Friday
    09:30 AM - 10:30 AM
      Lecture
    Aaron Naber (Massachusetts Institute of Technology)
    10:30 AM - 11:00 AM
      Break
    11:00 AM - 12:00 PM
      Lecture
    Jacob Bernstein (Johns Hopkins University)
    12:00 PM - 02:00 PM
      Lunch Break
    02:00 PM - 03:00 PM
      Lecture
    Hans-Joachim Hein (Imperial College, London)
    03:00 PM - 03:30 PM
      Tea Break
    03:30 PM - 04:30 PM
      TA Session
    Aug 04, 2014
    Monday
    09:30 AM - 10:30 AM
      Lecture
    Aaron Naber (Massachusetts Institute of Technology)
    10:30 AM - 11:00 AM
      Break
    11:00 AM - 12:00 PM
      Lecture
    Jacob Bernstein (Johns Hopkins University)
    12:00 PM - 02:00 PM
      Lunch
    02:00 PM - 03:00 PM
      Lecture
    Hans-Joachim Hein (Imperial College, London)
    03:00 PM - 03:30 PM
      Tea Break
    03:30 PM - 04:30 PM
      TA Session
    Aug 05, 2014
    Tuesday
    09:30 AM - 10:30 AM
      Lecture
    Aaron Naber (Massachusetts Institute of Technology)
    10:30 AM - 11:00 AM
      Break
    11:00 AM - 12:00 PM
      Lecture
    Jacob Bernstein (Johns Hopkins University)
    12:00 PM - 02:00 PM
      Lunch Break
    02:00 PM - 03:00 PM
      Lecture
    Hans-Joachim Hein (Imperial College, London)
    03:00 PM - 03:30 PM
      Tea Break
    03:30 PM - 04:30 PM
      TA Session
    Aug 06, 2014
    Wednesday
    09:30 AM - 10:30 AM
      Lecture
    Aaron Naber (Massachusetts Institute of Technology)
    10:30 AM - 11:00 AM
      Break
    11:00 AM - 12:00 PM
      Lecture
    Jacob Bernstein (Johns Hopkins University)
    12:00 PM - 02:00 PM
      Lunch Break
    02:00 PM - 03:00 PM
      Lecture
    Hans-Joachim Hein (Imperial College, London)
    03:00 PM - 03:30 PM
      Tea Break
    03:30 PM - 04:30 PM
      TA Session
    Aug 07, 2014
    Thursday
    09:30 AM - 10:30 AM
      Lecture
    Aaron Naber (Massachusetts Institute of Technology)
    10:30 AM - 11:00 AM
      Break
    11:00 AM - 12:00 PM
      Lecture
    Jacob Bernstein (Johns Hopkins University)
    12:00 PM - 02:00 PM
      Lunch Break
    02:00 PM - 03:00 PM
      Lecture
    Hans-Joachim Hein (Imperial College, London)
    03:00 PM - 03:30 PM
      Tea Break
    03:30 PM - 04:30 PM
      TA Session
    Aug 08, 2014
    Friday
    09:30 AM - 10:30 AM
      Lecture
    Aaron Naber (Massachusetts Institute of Technology)
    10:30 AM - 11:00 AM
      Break
    11:00 AM - 12:00 PM
      Lecture
    Jacob Bernstein (Johns Hopkins University)
    12:00 PM - 02:00 PM
      Lunch Break
    02:00 PM - 03:00 PM
      Lecture
    Hans-Joachim Hein (Imperial College, London)
    03:00 PM - 03:30 PM
      Tea Break
    03:30 PM - 04:30 PM
      TA Session
  6. MSRI-UP MSRI-UP 2014: Arithmetic Aspects of Elementary Functions

    Duane Cooper (Morehouse College), Ricardo Cortez (Tulane University), LEAD Herbert Medina (Loyola Marymount University), Ivelisse M. Rubio (University of Puerto Rico), 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 2014 program will be led by Dr. Victor Moll from Tulane University.

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    Aug 01, 2014
    Friday
    09:00 AM - 09:05 AM
      Opening Remarks
    Victor H. Moll (Tulane University)
    09:05 AM - 09:40 AM
      Sequences of p-adic valuations of polynomial functions: an analysis of non-p-regularity and erratic behavior
    Alyssa Byrnes (Tulane University), Isabelle Nogues (Princeton University), Amber Yuan (University of Chicago)
    09:45 AM - 10:20 AM
      Catalan numbers modulo 2α
    David Cervantes Nava (SUNY College at Potsdam), Erica Musgrave (Saint Mary's College of California), Gianluca Pane (Brown University)
    10:30 AM - 11:05 AM
      Arithmetic properties of infinite products
    Hadrian Quan (University of California, Santa Cruz), Fernando Roman (Kansas State University), Michole Washington (Georgia Institute of Technology)
    01:00 PM - 01:35 PM
      On p-adic valuations of generalized Fibonacci sequences
    Joseph Chavoya (California State University), Alphonso Lucero (Iowa State University), Sean Reynolds (University of Chicago)
    01:45 PM - 02:20 PM
      On p-adic limits of combinatorial sequences
    Alexandra Michel (Mills College), Andrew Miller (University of Massachusetts, Amherst), Robert Rennie (Reed College)
    02:30 PM - 03:05 PM
      On the divisibility and valuations of the Franel numbers
    Abraham Schulte (Northwestern University), Samantha VanSchalkwyk (Mount Holyoke College), Adela Yang (Bowdoin College)