# Jerusalem Mathematics Colloquium

Thursday, 13th January 2004, 4:00 pm

Mathematics Building, Lecture Hall 2

##

Professor Alexander Braverman

(Brown University)

"Partition functions: between algebraic geometry
and representation theory"

** Abstract: **
The purpose of the talk is to give some example of "partition
functions" appearing in supersymmetric quantum field theory and
string theory (using purely mathematical language) and exhibit
their (still unexplained) connections with representation theory.

In particular, we shall introduce the notion of Gromov-Witten
invariants and Gromov-Witten potential and discuss mostly the
Okounkov-Pandharipande calculation of the Gromov-Witten potential
of P^1 and quantum cohomology of flag varieties.

If time permits, we shall also mention the partition function of
4-dimensional gauge theory.

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

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