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.