# Mathematical Sciences Research Institute

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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. # Auxiliary to the Chancellor Lecture

Location: 740 Evans Hall
Created on Sep 03, 2014 09:35 AM PDT
3. # Chancellor Lecture on p-adic geometry

Location: 740 Evans Hall
Speakers: Peter Scholze (Universität Bonn)
Updated on Sep 02, 2014 04:13 PM PDT
4. # Working Group on Irregular Singularities: Ind-Sheaves

Location: MSRI: Baker Board Room
Speakers: Nikita Rozenblyum (Northwestern University)
Updated on Oct 30, 2014 03:16 PM PDT
5. # Joint Seminar: Variants of the Lubin-Tate and the Drinfeld moduli problems

Location: MSRI: Simons Auditorium
Speakers: Michael Rapoport (Universität Bonn)

Updated on Oct 31, 2014 12:44 PM PDT
6. # 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
7. # Working Group on Modular sheaves and representations - and overview on recent results

Location: MSRI: Simons Auditorium
Speakers: Peter Fiebig (Friedrich-Alexander-Universität Erlangen-Nürnberg)
Updated on Oct 29, 2014 03:49 PM PDT
8. # Working group on “Geometric Aspects of representations of p-adic groups”: Torsion pairs in the representation theory of Iwahori-Hecke algebras

Location: MSRI: Simons Auditorium
Speakers: Rachel Ollivier (University of British Columbia)
Updated on Oct 31, 2014 09:41 AM PDT

Location: MSRI: Simons Auditorium

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
10. # 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
11. # 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 ShimuraTaniyama 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
12. # Chancellor Lecture on p-adic geometry

Location: 740 Evans Hall
Speakers: Peter Scholze (Universität Bonn)
Updated on Sep 03, 2014 01:59 PM PDT
13. # NGM Research Seminar: About the stabilization of the twisted trace formula: the very last step

Location: MSRI: Simons Auditorium
Speakers: Colette Moeglin (Centre National de la Recherche Scientifique (CNRS))

I will explain in simple terms what is the stabilization of the spectral side of any trace formula and explain a simple and new argument to prove it, when the local theorems are already known.

Updated on Oct 30, 2014 10:08 AM PDT
14. # 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
15. # 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
16. # 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
17. # Grad Student Seminar: Convolution and fusion

Location: MSRI: Simons Auditorium
Speakers: Akhil Mathew (University of California, Berkeley)
Updated on Oct 31, 2014 10:31 AM PDT
18. # Auxiliary to the Chancellor Lecture

Location: 740 Evans Hall
Created on Sep 22, 2014 03:12 PM PDT
19. # Chancellor Lecture on p-adic geometry

Speakers: Peter Scholze (Universität Bonn)
Created on Sep 22, 2014 03:13 PM PDT
20. # Working Group on Irregular Singularities

Location: MSRI: Baker Board Room
Created on Sep 22, 2014 03:09 PM PDT
21. # Joint Seminar

Location: MSRI: Simons Auditorium
Created on Sep 22, 2014 03:11 PM PDT
22. # Working Group on "Modular sheaves and modular representations"

Location: MSRI: Simons Auditorium
Created on Sep 12, 2014 02:06 PM PDT
23. # Working group on “Geometric Aspects of representations of p-adic groups”

Location: MSRI: Simons Auditorium
Updated on Oct 21, 2014 03:28 PM PDT
24. # GRT Research Seminar

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

Location: 740 Evans Hall
Created on Sep 12, 2014 01:25 PM PDT
26. # Chancellor Lecture on p-adic geometry

Location: 740 Evans Hall
Speakers: Peter Scholze (Universität Bonn)
Updated on Sep 03, 2014 02:06 PM PDT
27. # NGM Research Seminar

Location: MSRI: Simons Auditorium
Speakers: Kiran Kedlaya (University of California, San Diego)
Updated on Oct 01, 2014 11:48 AM PDT
28. # 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
29. # NGM Pizza Seminar

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

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

Location: MSRI: Simons Auditorium
Updated on Oct 10, 2014 04:42 PM PDT
32. # MSRI Evans Talk: Construction of a moduli problem related to automorphic L-functions and Langlands' beyond endoscopic proposal

Location: 60 Evans Hall, UC Berkeley
Speakers: Ngô Bảo Châu (University of Chicago)
Updated on Oct 10, 2014 10:39 AM PDT
33. # Auxiliary to the Chancellor Lecture

Location: 740 Evans Hall
Created on Sep 03, 2014 09:10 AM PDT
34. # Chancellor Lecture on p-adic geometry

Location: 740 Evans Hall
Speakers: Peter Scholze (Universität Bonn)
Updated on Sep 03, 2014 09:00 AM PDT
35. # Eisenbud Seminar: Commutative Algebra and Algebraic Geometry

Location: 939 Evans Hall
Created on Sep 03, 2014 09:17 AM PDT
36. # Working group on “Geometric Aspects of representations of p-adic groups”

Location: MSRI: Baker Board Room
Updated on Oct 21, 2014 03:28 PM PDT
37. # Number Theory Seminar

Location: 740 Evans Hall
Created on Sep 12, 2014 01:26 PM PDT
38. # Chancellor Lecture on p-adic geometry

Location: 740 Evans Hall
Speakers: Peter Scholze (Universität Bonn)
Updated on Sep 03, 2014 02:11 PM PDT
39. # NGM Research Seminar

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

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

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

Location: 60 Evans Hall, UC Berkeley
Speakers: Ana Caraiani (Princeton University)
Updated on Oct 22, 2014 02:59 PM PDT
43. # Auxiliary to the Chancellor Lecture

Location: 740 Evans Hall
Created on Sep 03, 2014 09:23 AM PDT
44. # Chancellor Lecture on p-adic geometry

Location: 740 Evans Hall
Speakers: Peter Scholze (Universität Bonn)
Updated on Sep 03, 2014 09:20 AM PDT
45. # Working Group on Irregular Singularities

Location: MSRI: Baker Board Room
Created on Sep 22, 2014 03:14 PM PDT
46. # Joint Seminar

Location: MSRI: Simons Auditorium
Created on Sep 03, 2014 09:25 AM PDT
47. # Eisenbud Seminar: Commutative Algebra and Algebraic Geometry

Location: 939 Evans Hall
Created on Sep 03, 2014 09:28 AM PDT
48. # Working Group on "Modular sheaves and modular representations"

Location: MSRI: Simons Auditorium
Created on Sep 12, 2014 02:08 PM PDT
49. # Working group on “Geometric Aspects of representations of p-adic groups”

Location: MSRI: Simons Auditorium
Updated on Oct 21, 2014 03:29 PM PDT
50. # GRT Research Seminar

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

Location: 740 Evans Hall
Created on Sep 12, 2014 01:29 PM PDT
52. # 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
53. # Auxiliary to the Chancellor Lecture

Location: 740 Evans Hall
Created on Sep 03, 2014 09:44 AM PDT
54. # Chancellor Lecture on p-adic geometry

Location: 740 Evans Hall
Speakers: Peter Scholze (Universität Bonn)
Updated on Sep 03, 2014 09:31 AM PDT
55. # Working Group on Irregular Singularities

Location: MSRI: Baker Board Room
Created on Sep 22, 2014 03:15 PM PDT
56. # Eisenbud Seminar: Commutative Algebra and Algebraic Geometry

Location: 939 Evans Hall
Created on Sep 03, 2014 09:47 AM PDT
57. # GRT Research Seminar

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

Location: 740 Evans Hall
Created on Sep 12, 2014 01:31 PM PDT
59. # Chancellor Lecture on p-adic geometry

Location: 740 Evans Hall
Speakers: Peter Scholze (Universität Bonn)
Updated on Sep 03, 2014 02:24 PM PDT
60. # Colloquium

Location: MSRI: Simons Auditorium
Created on Sep 02, 2014 12:56 PM PDT
61. # Auxiliary to the Chancellor Lecture

Location: 740 Evans Hall
Created on Sep 03, 2014 09:54 AM PDT
62. # Chancellor Lecture on p-adic geometry

Location: 740 Evans Hall
Speakers: Peter Scholze (Universität Bonn)
Updated on Sep 03, 2014 09:51 AM PDT
63. # Working Group on Irregular Singularities

Location: MSRI: Baker Board Room
Created on Sep 22, 2014 03:16 PM PDT
64. # Joint Seminar

Location: MSRI: Simons Auditorium
Created on Sep 03, 2014 10:27 AM PDT
65. # Eisenbud Seminar: Commutative Algebra and Algebraic Geometry

Location: 939 Evans Hall
Created on Sep 03, 2014 10:31 AM PDT
66. # Working Group on "Modular sheaves and modular representations"

Location: MSRI: Simons Auditorium
Created on Sep 12, 2014 02:10 PM PDT
67. # Working group on “Geometric Aspects of representations of p-adic groups”

Location: MSRI: Simons Auditorium
Updated on Oct 21, 2014 03:29 PM PDT
68. # GRT Research Seminar

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

Location: 740 Evans Hall
Created on Sep 12, 2014 01:33 PM PDT
70. # Chancellor Lecture on p-adic geometry

Location: 740 Evans Hall
Speakers: Peter Scholze (Universität Bonn)
Updated on Sep 03, 2014 02:29 PM PDT
71. # Chancellor Lecture on p-adic geometry

Location: 740 Evans Hall
Speakers: Peter Scholze (Universität Bonn)
Created on Sep 03, 2014 02:38 PM PDT
72. # NGM Research Seminar

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

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

Location: MSRI: Simons Auditorium
Updated on Sep 03, 2014 04:22 PM PDT

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

Location: MSRI: Simons Auditorium
Created on Sep 02, 2014 12:58 PM PDT
77. # Auxiliary to the Chancellor Lecture

Location: 740 Evans Hall
Speakers: Jared Weinstein (Boston University)
Created on Sep 03, 2014 10:41 AM PDT
78. # Chancellor Lecture on p-adic geometry

Location: 740 Evans Hall
Created on Sep 03, 2014 10:45 AM PDT
79. # Working Group on Irregular Singularities

Location: MSRI: Baker Board Room
Created on Sep 22, 2014 03:17 PM PDT
80. # Eisenbud Seminar: Commutative Algebra and Algebraic Geometry

Location: 939 Evans Hall
Created on Sep 03, 2014 10:52 AM PDT
81. # Working Group on "Modular sheaves and modular representations"

Location: MSRI: Simons Auditorium
Created on Sep 12, 2014 02:11 PM PDT
82. # GRT Research Seminar

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

Location: 740 Evans Hall
Created on Sep 12, 2014 01:34 PM PDT
84. # Chancellor Lecture on p-adic geometry

Location: 740 Evans Hall
Speakers: Peter Scholze (Universität Bonn)
Created on Sep 03, 2014 02:43 PM PDT