\documentclass[12pt]{article}
\usepackage{amsfonts}

\topmargin=0.0in
\textwidth=6.5in
\textheight=8.5in
\oddsidemargin=0.0in
\parindent=0.0in
\font\bigboldfont=cmbx10 scaled \magstep4

\begin{document}

\begin{titlepage}

\begin{center}
{\bigboldfont
Harvard-M.I.T. Algebraic Geometry Seminar}

\vspace{0.5in}

{\large \bf
%%% title goes here in all caps
GEOMETRIC LANGLANDS CORRESPONDENCE AND KAC-MOODY ALGEBRAS
}

\vspace{0.5in}

\begin{large}
%%% Speaker in caps, school in lower case
{\bf 
EDWARD FRENKEL
}

University of California, Berkeley

\end{large}

\vspace{0.5in}
%%% Abstract goes here; comment out otherwise
{\bf \textsc{Abstract:} }

\end{center}

Representation theory of affine Kac-Moody algebras is the source of
some interesting geometry related to local systems on algebraic curves
(known as opers) and moduli spaces of G-bundles on curves.  I will
talk about a conjectural description (joint with D.Gaitsgory) of a
certain category of representations of an affine Kac-Moody algebra in
terms of the (derived) category of quasi-coherent sheaves on the
Springer fiber corresponding to a nilpotent element in the Lie algebra
of the Langlands dual group of G.

\

This is closely related to the geometric Langlands correspondence.
Given a local system E for the Langlands group of G on a smooth
projective curve X (possibly ramified at some points), one wishes to
describe the category of Hecke eigensheaves with "eigenvalue" E on the
moduli stack of G-bundles on X (with level structures at those
points).  A.Beilinson and V.Drinfeld have shown how to construct Hecke
eigensheaves starting from representations of the affine Kac-Moody
algebra $\hat g$ associated to G, so that the categories of Hecke
eigensheaves are closely related to categories of modules over $\hat g$.

\

On the other hand, G.Lusztig has previously defined certain bases in
the equivariant K-theory of the Springer fibers, and we expect that
they correspond to the bases of irreducible $\hat g$-modules.

\vfill

%%% Date goes here, and location (Harvard Rm 507 or MIT Room 4--163)
\begin{center}
{\large
February 26, 2002

3:00 p.m.

%Harvard Room 507
MIT Room 4-163
}
\end{center}

\vspace{0.5in}

\begin{center}
%%% Seminar website goes here
\verb+http://www-math.mit.edu/~abuch/seminar/+
\end{center}

\end{titlepage}

\end{document}