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All Colloquia & Seminars

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  1. MSRI Evans Talk: Representation theory and arithmetic invariants

    Location: 60 Evans Hall, UC Berkeley
    Speakers: Atsushi Ichino (Kyoto University)

    The local Langlands correspondence (conjecture) relates (infinite-dimensional) representations of p-adic reductive groups with (finite-dimensional) Galois representations. This can be viewed in many ways, and from the viewpoint of the representation theory, this gives us a "classification" of representations of p-adic reductive groups by viewing arithmetic objects as "simpler" parameters. Then it will be natural to study representation-theoretic problems in terms of arithmetic invariants. In this talk, we explain some cases which can be answered in this setup: the Gan-Gross-Prasad conjecture (a restriction problem) and formal degrees (a generalization of dimensions).

    Updated on Oct 16, 2014 09:22 AM PDT
  2. Joint Seminar: On the character of certain modular irreducible representations

    Location: MSRI: Simons Auditorium
    Speakers: George Lusztig

    Let G be an almost simple, simply connected algebraic group over an algebraically closed field of characteristic p>1. The irreducible rational representations of are indexed by dominant weights (Chevalley). In 1979 I stated a conjectural formula (now a theorem) for the character of these representations (for large enough p) assuming that the corresponding dominant weight is not too large; for the remaining dominant weights one had to use the Steinberg tensor product theorem. In the talk I will present a formula which applies directly to any dominant weight.

    Updated on Oct 24, 2014 02:40 PM PDT
  3. Eisenbud Seminar: Commutative Algebra and Algebraic Geometry

    Location: 939 Evans Hall
    Speakers: Jesse Burke (University of California, Los Angeles), Justin Chen (University of California, Berkeley)

    3:45 Jesse Burke: Higher Homotopies and Golod Rings
    Let Q be a commutative ring, R = Q/I a quotient ring, and M an R-module. Let A be a Q-projective resolution of R and G a Q-projective resolution of M. I will explain the Q-linear A∞-algebra structure on A and an A∞ A-module structure on G using higher homotopies. From these one can: build an R-projective resolution of M from A and G, modify A and G to obtain Q-free resolutions for all R-syzygies of M, and, when Q is local and A and G are min- imal, describe the differentials in the Eilenberg-Moore spectral sequence for M. These methods work especially well for Golod modules, and show that if the inequality traditionally used to define Golod modules is an equality in the first dim Q+1 degrees, then the module is Golod. Finally, we give an explicit construction of the minimal R-free resolution of every finitely generated module, when R is Golod.

    5:00 Justin Chen: The Green-Lazarsfeld Gonality Conjecture (after Ein-Lazarsfeld)
    Abstract from the Ein-Lazarsfeld paper:
    We show that a small variant of the methods used by Voisin in her study of canonical curves leads to a surprisingly quick proof of the gonality conjecture of Green and the second author, asserting that one can read off the gonality of a curve C from its resolution in the embedding defined by any one line bundle of sufficiently large degree. More generally, we establish a necessary and sufficient condition for the asymptotic vanishing of the weight one syzygies of the module associated to an arbitrary line bundle on C.

    Created on Sep 02, 2014 04:11 PM PDT
  4. L-Groups Seminar

    Location: MSRI: Simons Auditorium
    Created on Oct 13, 2014 04:43 PM PDT
  5. GRT Research Seminar

    Location: MSRI: Simons Auditorium
    Created on Sep 03, 2014 11:53 AM PDT
  6. Working group on “Geometric Aspects of representations of p-adic groups”

    Location: MSRI: Simons Auditorium
    Speakers: David Ben-Zvi (University of Texas), Michael Harris (L'Institut de Mathématiques de Jussieu)
    Michael Harris: Overview and goals. 
    This introduction will outline some of the new phenomena that appear in mod p and p-adic representations of p-adic groups, in particular the role of derived Hecke algebras, and some questions that we might discuss in the working group.
     
    David Ben-Zvi: Geometric construction of Harish Chandra characters for real groups.
    I will explain how the theory of characters in derived algebraic geometry can be applied to construct and describe characters for (g,K)-modules. (No relation to the topic of the working group will be implied.)
    Updated on Oct 22, 2014 03:30 PM PDT
  7. NGM Research Seminar: Iterate extensions, Coleman power series and the field of norms

    Location: MSRI: Simons Auditorium
    Speakers: Laurent Berger (École Normale Supérieure de Lyon)

    In the classical theory of (phi,Gamma)-modules, Gamma is the Galois group of the cyclotomic extension. For which other p-adic Lie extensions, with Galois group Gamma, can we have a theory of (phi,Gamma)-modules? I will discuss this question, give some partial results and formulate a conjecture.

    Updated on Oct 21, 2014 03:22 PM PDT
  8. NGM Research Seminar: Functorial local functoriality

    Location: MSRI: Simons Auditorium
    Speakers: Jean-Francois Dat (Université de Paris VI (Pierre et Marie Curie))

    A basic problem when studying the category of l-adic (rational or integral) smooth representations of a p-adic group is to decompose it as a direct product of subcategories and show that each factor is equivalent to some previously known and supposedly simpler other abelian category.

    In this talk we investigate what Langlands' functoriality principle can teach us on this problem, by making precise the following rough guess : the category of rational (resp integral) representations should have a decomposition indexed by L-parameters with source the inertia group (resp its pro-prime-to-l radical) and, under special circumstances, a morphism of L-group should "induce" an equivalence between categories associated to matching parameters.

    Two techniques have already been succesfully used to produce equivalences of this kind : types theory (quite indirect and bound to rational coefficients at the moment) and non abelian Lubin-Tate theory (very specific). We will introduce a third technique, adapted to tame parameters,  which roughly consists in gluing the cohomology of suitable Deligne-Lusztig varieties along a building. The upshot is that any tame integral block of a GLn is equivalent to the unipotent integral block of a suitable product of GLm's over extension fields.

    Updated on Oct 21, 2014 03:23 PM PDT
  9. NGM Pizza Seminar: Control theorems for overconvergent automorphic forms

    Location: MSRI: Simons Auditorium
    Speakers: Christian Johansson (University of Oxford)

    A theorem of Coleman asserts that if f is an overconvergent U_p-eigenform of weight k>1 such that the valuation of its U_p-eigenvalue is <k-1, then f is classical modular form. In this talk I will discuss variations of Coleman's proof of this theorem, with an eye towards ideas that generalize to higher-dimensional Shimura varieties. Part of this is joint work with Vincent Pilloni.

    Updated on Oct 23, 2014 09:18 AM PDT
  10. GRT Pizza Seminar: Hitchin-Frenkel-Ngô's fibration and Vinberg semigroup

    Location: MSRI: Simons Auditorium
    Speakers: Alexis Bouthier (Université Paris-Sud (Orsay))

    In this talk, we will explain the link between the Vinberg's semigroup and the Hitchin group like fibration, that was introduced by Frenkel and Ngô for SL_{2}. This fibration appears as a nice object to get orbital integrals for the spherical Hecke algebra and a good understanding of the orbital side of the trace formula.

    Updated on Oct 24, 2014 02:40 PM PDT
  11. Grad Student Seminar: Perverse sheaves and nearby cycles

    Location: MSRI: Simons Auditorium
    Speakers: Quoc Ho (University of Chicago)

    I will finish the discussion of perverse sheaves from last time, talk about G-equivariant perverse sheaves and about nearby cycles.

    Updated on Oct 24, 2014 02:41 PM PDT
  12. Colloquium: On the mod p Langlands program for GLn

    Location: MSRI: Simons Auditorium
    Speakers: Christophe Breuil (Centre National de la Recherche Scientifique (CNRS))

    Let K be a finite extension of Qp. It is known for some time that one cannot expect a bijection between smooth irreducible admissible representations of GLn(K) and smooth n-dimensional representations of Gal(Kbar/K), both over Fpbar. However, one can still hope for a ``good understanding'' of the representations of GLn(K) occuring as Hecke Eigenspaces of mod p automorphic forms (for, say, compact unitary groups).

    When K is unramified, I will present some conjectures on the generic structure of these GLn(K)-representations, and the way this structure is related to the underlying Gal(Kbar/K)-representation. Then I will give some fragmentary evidence (due to many people) which support these conjectures.

    This is joint work (in progress) with Florian Herzig and Benjamin Schraen.

    Updated on Oct 08, 2014 11:44 AM PDT
  13. Joint Seminar

    Location: MSRI: Simons Auditorium

     

    Updated on Oct 24, 2014 02:38 PM PDT
  14. GRT Research Seminar

    Location: MSRI: Simons Auditorium
    Created on Sep 03, 2014 12:05 PM PDT
  15. Number Theory Seminar

    Location: 740 Evans Hall
    Created on Sep 12, 2014 01:14 PM PDT
  16. NGM Research Seminar

    Location: MSRI: Simons Auditorium
    Speakers: Ariane Mézard (L'Institut de Mathématiques de Jussieu)
    Updated on Oct 01, 2014 11:46 AM PDT
  17. NGM Research Seminar

    Location: MSRI: Simons Auditorium
    Speakers: Colette Moeglin (Centre National de la Recherche Scientifique (CNRS))
    Updated on Oct 01, 2014 11:46 AM PDT
  18. NGM Pizza Seminar

    Location: MSRI: Simons Auditorium
    Updated on Sep 03, 2014 03:49 PM PDT
  19. GRT Pizza Seminar

    Location: MSRI: Simons Auditorium
    Speakers: Dragos Fratila (Université de Paris VII (Denis Diderot))
    Updated on Sep 03, 2014 03:49 PM PDT
  20. Grad Student Seminar

    Location: MSRI: Simons Auditorium
    Updated on Oct 10, 2014 04:41 PM PDT
  21. Joint Seminar

    Location: MSRI: Simons Auditorium
    Created on Sep 22, 2014 03:11 PM PDT
  22. GRT Research Seminar

    Location: MSRI: Simons Auditorium
    Created on Sep 03, 2014 12:12 PM PDT
  23. Number Theory Seminar

    Location: 740 Evans Hall
    Created on Sep 12, 2014 01:25 PM PDT
  24. NGM Research Seminar

    Location: MSRI: Simons Auditorium
    Speakers: Kiran Kedlaya (University of California, San Diego)
    Updated on Oct 01, 2014 11:48 AM PDT
  25. NGM Research Seminar

    Location: MSRI: Simons Auditorium
    Speakers: Wieslawa Niziol (Centre National de la Recherche Scientifique (CNRS))
    Updated on Oct 01, 2014 12:05 PM PDT
  26. NGM Pizza Seminar

    Location: MSRI: Simons Auditorium
    Updated on Sep 03, 2014 03:51 PM PDT
  27. GRT Pizza Seminar

    Location: MSRI: Simons Auditorium
    Speakers: Galyna Dobrovolska (Columbia University)
    Updated on Oct 20, 2014 09:48 AM PDT
  28. Grad Student Seminar

    Location: MSRI: Simons Auditorium
    Updated on Oct 10, 2014 04:42 PM PDT
  29. Number Theory Seminar

    Location: 740 Evans Hall
    Created on Sep 12, 2014 01:26 PM PDT
  30. NGM Research Seminar

    Location: MSRI: Baker Board Room
    Updated on Oct 01, 2014 12:06 PM PDT
  31. NGM Research Seminar

    Location: MSRI: Baker Board Room
    Updated on Oct 01, 2014 12:05 PM PDT
  32. NGM Research Seminar

    Location: MSRI: Simons Auditorium
    Updated on Oct 07, 2014 03:10 PM PDT
  33. NGM Research Seminar

    Location: MSRI: Simons Auditorium
    Updated on Oct 07, 2014 03:10 PM PDT
  34. Colloquium

    Location: MSRI: Simons Auditorium
    Created on Sep 02, 2014 12:55 PM PDT
  35. MSRI Evans Talk

    Location: 60 Evans Hall, UC Berkeley
    Speakers: Ana Caraiani (Princeton University)
    Updated on Oct 22, 2014 02:59 PM PDT
  36. Joint Seminar

    Location: MSRI: Simons Auditorium
    Created on Sep 03, 2014 09:25 AM PDT
  37. GRT Research Seminar

    Location: MSRI: Simons Auditorium
    Created on Sep 03, 2014 12:26 PM PDT
  38. Number Theory Seminar

    Location: 740 Evans Hall
    Created on Sep 12, 2014 01:29 PM PDT
  39. MSRI Evans Talk

    Location: 60 Evans Hall, UC Berkeley
    Speakers: Pierre Colmez (L'Institut de Mathématiques de Jussieu)
    Created on Aug 08, 2014 10:49 AM PDT
  40. GRT Research Seminar

    Location: MSRI: Baker Board Room
    Created on Sep 22, 2014 01:27 PM PDT
  41. Number Theory Seminar

    Location: 740 Evans Hall
    Created on Sep 12, 2014 01:31 PM PDT
  42. Colloquium

    Location: MSRI: Simons Auditorium
    Created on Sep 02, 2014 12:56 PM PDT
  43. Joint Seminar

    Location: MSRI: Simons Auditorium
    Created on Sep 03, 2014 10:27 AM PDT
  44. GRT Research Seminar

    Location: MSRI: Simons Auditorium
    Created on Sep 03, 2014 12:39 PM PDT
  45. Number Theory Seminar

    Location: 740 Evans Hall
    Created on Sep 12, 2014 01:33 PM PDT
  46. NGM Research Seminar

    Location: MSRI: Simons Auditorium
    Updated on Oct 01, 2014 12:07 PM PDT
  47. NGM Research Seminar

    Location: MSRI: Simons Auditorium
    Updated on Oct 01, 2014 12:07 PM PDT
  48. GRT Pizza Seminar

    Location: MSRI: Simons Auditorium
    Updated on Sep 03, 2014 04:22 PM PDT
  49. Grad Student Seminar

    Location: MSRI: Simons Auditorium
    Updated on Oct 10, 2014 04:43 PM PDT
  50. Colloquium

    Location: MSRI: Simons Auditorium
    Created on Sep 02, 2014 12:58 PM PDT
  51. GRT Research Seminar

    Location: MSRI: Simons Auditorium
    Created on Sep 03, 2014 12:46 PM PDT
  52. Number Theory Seminar

    Location: 740 Evans Hall
    Created on Sep 12, 2014 01:34 PM PDT

Past Seminars

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There are more then 30 past seminars. Please go to Past seminars to see all past seminars.