Seminars Sorted by Series
Floer Learning Seminar
10:00am|Simonyi Hall 101 and Remote Access
10:00am|Simonyi Hall 101 and Remote Access
10:00am|Simonyi Hall 101 and Remote Access
10:00am|West Building Lecture Hall
10:00am|Simonyi Hall 101 and Remote Access
10:00am|Simonyi Hall 101 and Remote Access
10:00am|Simonyi Hall 101 and Remote Access
10:00am|Simonyi Hall 101 and Remote Access
10:00am|Simonyi Hall 101 and Remote Access
10:00am|West Lecture Hall
Friends Forum
How Crystals Grow Inside Solids
Most metals and ceramics are composed of many individual
crystals fused together. Foams are composed of many individual
bubbles. In both cases, as time passes, the picture evolves and
coarsens. The average size of a crystal or a bubble
increases....
Function Theory
ABC, Waring and Fermat for Functions
Walter K. Hayman, FRS
Fundamental Lemma
Spectral Curves for Classical Groups
I will review Hitchin's construction of the spectral curves and
discuss the relation with endoscopy.
Symmetry of the Hitchin Fibration
I will describe the construction the symmetries of the Hitchin
fibration and the way in which the endoscopic groups appear in the
variation of these symmetry groups.
On Geometric Stabilization
I will formulate the geometric interpretation of the
stabilization of (a part) of the geometric side of the trace
formula for Lie algebra. The SL(2) case will be discussed in some
details.
On the Fundamental Lemma for Weighted Orbital Integrals
The first half of this talk will be devoted to describing
Arthur's variant of the fundamental lemma for weighted orbital
integrals. The second half will discuss a proof of the weighted
fundamental lemma for Sp(4).
Fundamental Remarks on the Lemma
Guenter Harder
Moduli of Metaplectic Bundles on Curves and Theta-Sheaves
We give a geometric analog of the Weil representation of the
metaplectic group, placing it in the framework of the geometric
Langlands program. For a smooth projective curve X we introduce an
algebraic stack \tilde\Bun_G of metaplectic bundles on X...
Equivariant Homology of Affine Springer Fibers
I will attempt to summarize the results in the following two
papers, jointly written with R. Kottwitz and R. MacPherson:
"Equivariant cohomology, Koszul duality, and the localization
theorem" (Inv. Math., 1998) and "Homology of affine Springer...
On Geometric Stabilization
Bao-Chau Ngo
On Geometric Stabilization
10:30am|West Building Lecture Theatre
I will continue the talk on October 20th. I will formulate the
geometric interpretation of the stabilization of (a part) of the
geometric side of the trace formula for Lie algebra. The SL(2) case
will be discussed in some details.
The Case of Unitary Group
Bao-Chau Ngo
The Case of Unitary Group
Bao-Chau Ngo
The Unitary Group Continued: The Case of Tranversal Intersection
The Case of Unitary Group (End)
Bao-Chau Ngo
The Fundamental Lemma and Change of Characteristic (following Waldspurger)
In a recent article, Waldspurger proved that the fundamental
lemma for Lie algebras doesn't depend on the characteristic of the
base field (among other things...). In this talk, I would like to
explain some ideas of the proof of that result.
In a series of lectures, I will discuss the proof of
Langlands-Shelstad's fundamental lemma for Lie algebra. An overview
will be given in the first lecture. In the following lectures, I
will focuse on certain aspects of the geometry of the
Hitchin...
Galois Representations and Automorphic Forms Mini-Course
The Completed Cohomology of Arithmetic Groups
Frank Calegari
The cohomology of arithmetic groups (with real coefficients) is
usually understood in terms of automorphic forms. Such methods,
however, fail (at least naively) to capture information about
torsion classes in integral cohomology. We discuss a...
The Completed Cohomology of Arithmetic Groups
Frank Calegari
The cohomology of arithmetic groups (with real coefficients) is
usually understood in terms of automorphic forms. Such methods,
however, fail (at least naively) to capture information about
torsion classes in integral cohomology. We discuss a...
Local-Global Compatibility in the p-Adic Langlands Program for GL(2) over Q
Matthew Emerton
2:15pm|West Bldg. Lecture Hall
I will outline the proof of various cases of the local-global
compatibility statement alluded to in the title, and also explain
its applications to the Fontaine—Mazur conjecture, and to a
conjecture of Kisin.
Local-Global Compatibility in the p-Adic Langlands Progra for GL(2) over Q
Matthew Emerton
I will outline the proof of various cases of the local-global
compatibility statement alluded to in the title, and also explain
its applications to the Fontaine--Mazur conjecture, and to a
conjecture of Kisin.
Galois Representations and Automorphic Forms Seminar
Overview of the p-Adic Local Langlands Correspondence for GL(2,Q_p)
The Fundamental Curve of p-Adic Hodge Theory
Let $\overline K$ be an algebraic closure of a $p$-adic field
$K$. We construct a separated noetherian regular scheme $X$
(nonalgebraic) equipped with an action of
$G_K=\mathrm{Gal}(\overline{K}/K)$. We have $H^0(X, O_X) = Q_p$ and
$H_1(X, O_X) = 0$...
Splitting of Iwasawa Modules and Leopoldt Conjecture
Jean-Pierre Wintenberger
Let p be an odd prime number and let F be a totally real field.
Let F_cyc be the cyclotomic extension of F generated by the roots
of unity of order a power of p . From the maximal abelian extension
of F_cyc which is unramified (resp. unramified...
Non-abelian Lubin-Tate Theory Modulo $\ell$
Let p and l be two distinct prime numbers, and fix a positive
integer d . I will explain how the F_l-cohomology complex of the
Lubin-Tate tower of height d of a p-adic field K realizes mod l
versions of both the semi-simple Langlands correspondence...
A Semistable Model for the Tower of Modular Cures
The usual Katz-Mazur model for the modular curve X(p^n) has
horribly singular reduction. For large n there isn't any model of
X(p^n) which has good reduction, but after extending the base one
can at least find a semistable model, which means that...
Explicit Serre Weight Conjectures
We will discuss a generalisation of Serre's conjecture on the
possible weights of modular mod p Galois representations for a
broad class of reductive groups. In good cases (essentially when
the Galois representation is tamely ramified at p) the...
A Satake Isomorphism mod.p
Let F be a locally compact non-Archimedean field, p its residue
characteristic and G a connected reductive algebraic group over F .
The classical Satake isomorphism describes the Hecke algebra (over
the field of complex numbers) of double classes in...
On the Realization of Some Degenerate Automorphic Forms on Certain Griffiths-Schmid Varieties
Some automorphic forms, despite the fact they are algebraic, do
not have any interpretation as cohomology classes on a Shimura
variety: therefore nothing is known at present on their expected
arithmetic properties. I shall explain how such forms...
Algebraic Cycles on Picarad Moduli Spaces of Abelian Varieties
Picard moduli spaces parametrize principally polarized abelian
varieties with complex multiplication by the ring of integers in an
imaginary-quadratic field. The loci where the abelian varieties
split off an elliptic curve in a controlled way are...
A New Approach to the Local Langlands Correspondence for GL_n Over p-Adic Fields
Peter Scholze
We give a new local characterization of the Local Langlands
Correspondence, using deformation spaces of p-divisible groups, and
show its existence by a comparison with the cohomology of some
Shimura varieties. This reproves results of Harris-Taylor...
Potential Automorphy for Compatible Systems of l-Adic Galois Representations
David Geraghty
I will describe a joint work with Barnet-Lamb, Gee and Taylor
where we establish a potential automorphy result for compatible
systems of Galois representations over totally real and CM fields.
This is deduced from a potential automorphy result for...