# Jerusalem Mathematics Colloquium

â"ñùú ,úáèá
à'ë ,éùéîç
íåé

Thursday, 26th December 2002, 4:00 pm

Mathematics Building, Lecture Hall 2

##

Alexander Braverman

(Harvard)

Uhlenbeck spaces and affine Lie algebras

** Abstract: **
About 20 years ago Uhlenbeck defined a certain compactification of the
moduli space of bundles on a smooth complex projective surface *S*. The
definition
relied on the theory of instantons and thus the resulting object
was not *a priori* an algebraic variety. After reviewing this general theory
we shall explain a new construction of Uhlenbeck spaces in the case when
*S* is the projective plane (joint with D.Gaitsgory and M.Finkelberg).
The definition is rather elementary and it is
entirely algebraic. If time permits we shall explain in the end
that this definition allows us to compute the intersection
cohomology of Uhlenbeck spaces and why this might be relevant for studying
certain string dualities in physics.

No previous knowledge about any kind of moduli spaces will be assumed.

Light refreshments will be served in the faculty lounge at 3:30.

List of talks, 2002-03

List of talks, 2001-02

List of talks, 2000-01

List of talks, 1998-99

List of talks, 1997-98