MIT Lie Groups Seminar
1999 - 2000
Hardy theorems for some Lie groups.
Compactification and its applications to representations of semisimple groups over finite fields.
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.
Hankel transforms, Bessel functions, Laguerre polynomials, and the discrete series for SL~(2,R).
(University of North Carolina)
Study of Cotangent Bundles of Flag Varieties via Frobenius Splitting and Geometry of Nilpotent Cones.
A basis in the equivariant K-theory of the nilpotent cone.
Explicit quantization of quasitriangular structures on simple Lie algebras.
Annihilators, associated varieties, and the theta correspondence.
Star products and quantization of complex nilpotent orbit covers.
Verlinde paths and sl_2^ coinvariants. (Joint work with B. Feigin, S. Loktev, R. Kedem and T. Miwa.)
(University of Chicago)
A localization type theorem for representations of quantum groups at a root of unity.
(Rome Tor Vergata and MIT)
Invariant domains in the complexification of a noncompact symmetric space.
Principal nilpotent orbits and reducible principal series.
Fourier type tranforms and L-functions.
Fourier type tranforms and L-functions (continued).
The Congruence subgroup problem: a survey of known results and open questions.
Discrete series for classical p-adic groups.
topic to be announced.
Forms of D_4 and Niemeier lattices.
Lowest eigenvalue of the Laplacian on locally symmetric spaces (after Jian-Shu Li).
A combinatorial description of R-groups.
(University of Copenhagen)
Symmetry algebras of quantum matrix models in the large-$N$ limit.
Schur functions, quantum affine algebras and a discrete dynamical system.
Contact: Andre Dixon