MIT Lie Groups Seminar

Sept 8

K. Kumahara

Hardy theorems for some Lie groups.

Sept 15

Tohru Uzawa

Compactification and its applications to representations of semisimple groups over finite fields.

Sept 29

Olivier Schiffman
(ENS)

Canonical bases of the Hall algebra of a cyclic quiver and a q-analogue of the Lusztig character formula for quantum gl(n) at a root of unity.

Oct 6

Bertram Kostant
(MIT)

Hankel transforms, Bessel functions, Laguerre polynomials, and the discrete series for SL~(2,R).

Oct 13

Shrawan Kumar
(University of North Carolina)

Study of Cotangent Bundles of Flag Varieties via Frobenius Splitting and Geometry of Nilpotent Cones.

Oct 20

Viktor Ostrik
(Harvard)

A basis in the equivariant K-theory of the nilpotent cone.

Oct 27

Pavel Etingof
(MIT)

Explicit quantization of quasitriangular structures on simple Lie algebras.

Nov 3

P. Trapa
(IAS)

Annihilators, associated varieties, and the theta correspondence.

Nov 10

R. Brylinski
(Penn State)

Star products and quantization of complex nilpotent orbit covers.

Nov 17

E. Mukhin
(UC Berkeley)

Verlinde paths and sl_2^ coinvariants. (Joint work with B. Feigin, S. Loktev, R. Kedem and T. Miwa.)

Dec 1

R. Bezrukavnikov
(University of Chicago)

A localization type theorem for representations of quantum groups at a root of unity.

Dec 8

L. Geatti
(Rome Tor Vergata and MIT)

Invariant domains in the complexification of a noncompact symmetric space.

Dec 15

W. Kuo
(MIT)

Principal nilpotent orbits and reducible principal series.

Feb 9

A. Braverman
(MIT)

Fourier type tranforms and L-functions.

Feb 16

A. Braverman
(MIT)

Fourier type tranforms and L-functions (continued).

Mar 1

Gopal Prasad
(Michigan)

The Congruence subgroup problem: a survey of known results and open questions.

Mar 8

Chris Jantzen
(OSU)

Discrete series for classical p-adic groups.

Mar 29

Mark Reeder
(Boston College)

topic to be announced.

Apr 5

Benedict Gross
(Harvard University)

Forms of D_4 and Niemeier lattices.

Apr 12

David Vogan
(MIT)

Lowest eigenvalue of the Laplacian on locally symmetric spaces (after Jian-Shu Li).

Apr 19

D. Pascovici
(MIT)

A combinatorial description of R-groups.

May 3

H. Lee
(University of Copenhagen)

Symmetry algebras of quantum matrix models in the large-$N$ limit.

May 10

M. Kleber
(MIT)

Schur functions, quantum affine algebras and a discrete dynamical system.