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Upcoming Colloquia & Seminars

  1. 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
  2. Eisenbud Seminar: Commutative Algebra and Algebraic Geometry

    Location: 939 Evans Hall
    Speakers: Hirotachi Abo (University of Idaho), Bangere Purnaprajna

    3:45 B. Purnaprajna, Geometry of varieties of general type:

     In this talk we will explore the geometry of varieties of general type with special emphasis on algebraic surfaces. The talk will deal with deformations of canonical maps and topology of fibered algebraic surfaces. The applications include a solution to a question of Enriques, description of components of moduli spaces, holomorphic convexity of the universal cover, and results on very ampleness and deformation of some threefolds such as Calabi Yau. The talk will be accessible to algebraists as well. If time permits, we will state some new results on deformation of varieties of general type of arbitrary dimension.

     

    5:00 Hirotachi Abo, Hunting for secant varieties with unexpected dimensions

    This talk is concerned with defective secant varieties (i.e., secant varieties that do not have the expected dimension). The most basic tool in the study of secant varieties is the so-called Terracini lemma. Terracini's lemma describes the tangent space to a secant variety in terms of linear algebra, and thus it makes a computer algebra system feasible to effectively compute the dimension of the secant varieties of a large variety. In particular, Terracini’s lemma can be used to verify the non-defectivity of secant varieties. It can also be used to experimentally detect potential defective secant varieties. Although the result of a computation provides strong evidence and gives a dimensional lower bound, it cannot be used as a rigorous proof of its deficiency. In conclusion, proving that computationally suggested defective secant varieties are actually defective requires more insights.  In this talk, I discuss a geometric argument that proves experimentally suggested defective varieties are indeed defective. This geometric argument enabled us to find surprisingly many defective secant varieties of Segre-Veronese varieties.

     

    Next Seminar: Nov 25: Bernd Sturmfels and Winfried Bruns

    Created on Sep 02, 2014 04:29 PM PDT
  3. Math of YouTube

    Location: MSRI: Simons Auditorium
    Speakers: Brady Haran

    Brady Haran’s “Numberphile” videos have been watched 100 million times on YouTube. In this short talk he will explain how he moved from a newspaper in southern Australia to the offices (and kitchen tables) of world famous mathematicians.

    Updated on Oct 31, 2014 10:18 AM PDT
  4. GRT Research Seminar: Yangians, quantum loop algebras and elliptic quantum groups

    Location: MSRI: Simons Auditorium
    Speakers: Valerio Toledano Laredo (Northeastern University)

    The Yangian Yg and quantum loop algebra Uq(Lg) of a complex semisimple Lie algebra g are infinite-dimensional quantum groups which were introduced by Drinfeld in the mid 80s, and deform the current algebra g[s] and loop algebra g[z,z^{-1}] of g.

    Although they share very many similarities, and were long thought to have the same representations, no precise relation between them existed until recently.

    I will explain how to construct a faithful functor from the finite-dimensional representations of Yg to those of Uq(Lg) which restricts to an equivalence on an explicitly defined subcategory of Yg.

    A similar construction yields a faithful functor from representations of U_q(Lg) to those of the elliptic quantum group corresponding to g.

    This is joint work with Sachin Gautam.

    (no prior knowledge of Yg and Uq(Lg) will be assumed)

    Updated on Oct 30, 2014 03:02 PM PDT
  5. Number Theory Seminar: Modularity of elliptic curves over real quadratic fields.

    Location: 740 Evans Hall
    Speakers: Bao Le Hung (Harvard University)

    We explain the generalization of the ShimuraTaniyama conjecture over real quadratic fields, and how to establish it by finding quadratic points on certain modular curves. This is joint work with N. Freitas and S. Siksek.

    Updated on Oct 30, 2014 10:05 AM PDT
  6. NGM Research Seminar: Kisin variety and deformations

    Location: MSRI: Simons Auditorium
    Speakers: Ariane Mézard (L'Institut de Mathématiques de Jussieu)

    In this talk, we give an explicit description of Kisin variety parametrizing Breuil-Kisin modules associated to certain families of potentially Barsotti-Tate deformations of modulo p Galois representations of dimension 2. We explain how we may deduce the associated deformation ring in non generic new cases. This is joint work with Xavier Caruso and Agnes David.

    Updated on Oct 30, 2014 10:08 AM PDT
  7. NGM Pizza Seminar: The eigencurve is proper

    Location: MSRI: Simons Auditorium
    Speakers: Hansheng Diao (Institute for Advanced Study)

    The eigencurve is a rigid analytic curve over Q_p parametrizing all finite slope overconvergent modular eigencurve. It is a conjecture of Coleman-Mazur that the eigencurve has "no holes". In other words, the eigencurve is proper over the weight space. We prove that the conjecture is true.

    Updated on Oct 30, 2014 10:10 AM PDT
  8. GRT Pizza Seminar: The geometry of G-bundles on an elliptic curve and spherical Eisenstein sheaves

    Location: MSRI: Simons Auditorium
    Speakers: Dragos Fratila (Université de Paris VII (Denis Diderot))

    I will present some results about the geometry of the stack of G-bundles on an elliptic curve and how one can use this to construct simple summands of spherical Eisenstein sheaves. If time permits I will discuss a conjectural description of all the simple summands of spherical Eisenstein sheaves.

    Updated on Oct 31, 2014 11:02 AM PDT
  9. Joint Seminar

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

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

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

    Location: MSRI: Simons Auditorium
    Speakers: Kiran Kedlaya (University of California, San Diego)
    Updated on Oct 01, 2014 11:48 AM PDT
  13. 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
  14. NGM Pizza Seminar

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

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

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

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

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

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

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

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

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

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

    Location: 740 Evans Hall
    Created on Sep 12, 2014 01:29 PM PDT
  25. 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
  26. GRT Research Seminar

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

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

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

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

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

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

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

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

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

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

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

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

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