1998-1999

September 8, 1999:
**
K. Kumahara,
**
Hardy theorems for some Lie groups.

September 15:
**
Tohru Uzawa,
**
Compactification and its applications to
representations of semisimple groups over finite fields.

September 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.

October 6:
**
Bertram Kostant (MIT),
**
Hankel transforms, Bessel
functions, Laguerre polynomials, and the discrete series for
SL~(2,R).

October 13:
**
Shrawan Kumar (University of North Carolina),
**
Study of Cotangent Bundles of Flag Varieties via Frobenius
Splitting and Geometry of Nilpotent Cones.

October 20:
**
Viktor Ostrik (Harvard),
**
A basis in the equivariant
K-theory of the nilpotent cone.

October 27:
**
Pavel Etingof (MIT),
**
Explicit quantization of
quasitriangular structures on simple Lie algebras.

November 3:
**
P. Trapa (IAS),
**
Annihilators, associated
varieties, and the theta correspondence.

November 10:
**
R. Brylinski (Penn State),
**
Star products and
quantization of complex nilpotent orbit covers.

November 17:
**
E. Mukhin (UC Berkeley),
**
Verlinde paths and sl_2^
coinvariants. (Joint work with B. Feigin, S. Loktev, R. Kedem and
T. Miwa.)

December 1:
**
R. Bezrukavnikov (University of Chicago),
**
A localization type theorem for representations of quantum groups at a root
of unity.

December 8:
**
L. Geatti (Rome Tor Vergata and MIT),
**
Invariant domains
in the complexification of a noncompact symmetric space.

December 15:
**
W. Kuo (MIT),
**
Principal nilpotent orbits and reducible
principal series.

February 9, 2000:
**
A. Braverman (MIT),
**
Fourier type tranforms and
L-functions.

February 16:
**
A. Braverman (MIT),
**
Fourier type tranforms and
L-functions (continued).

March 1:
**
Gopal Prasad (Michigan),
**
The Congruence subgroup problem: a
survey of known results and open questions.

March 8:
**
Chris Jantzen (OSU),
**
Discrete series for classical p-adic
groups.

March 29:
**
Mark Reeder (Boston College),
**
topic to be announced.

April 5:
**
Benedict Gross (Harvard University),
**
Forms of D_4 and
Niemeier lattices.

April 12:
**
David Vogan (MIT),
**
Lowest eigenvalue of the Laplacian on
locally symmetric spaces (after Jian-Shu Li).

April 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.