Geometry/Physics Seminar

Title: Virasoro constraints in Drinfeld-Sokolov hierarchies
Speaker: Pavel Safronov
Speaker Info: UT Austin
Brief Description:
Special Note:

A conjecture of Witten proved by Kontsevich states that the generating function of intersection numbers on the moduli spaces of curves satisfies equations of the Korteweg-de Vries hierarchy together with certain conditions known as the Virasoro constraints. I will discuss these constraints in a more general setting of Drinfeld-Sokolov hierarchies, which are certain flows on the moduli space of principal bundles with a reduction at a point. The Virasoro constraints are then naturally interpreted in terms of a connection compatible with the reduction at the marked point. Pretalk is to introduce main characters of the actual talk, such as moduli of bundles, Drinfeld-Sokolov hierarchy, and Krichever's construction if time permits.
Date: Tuesday, October 16, 2012
Time: 1:00pm
Where: Lunt 101
Contact Person: Philsang Yoo
Contact email: philsang@math.northwestern.edu
Contact Phone:
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