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Recent Developments in Topological String Theory and Virasoro Constraints
Mathematical Physics| Speaker: | Motohico Mulase, UCD |
| Location: | 2112 MSB |
| Start time: | Thu, May 8 2008, 11:00AM |
Description
The Witten-Kontsevich theory tells us that
the intersection numbers of cotangent classes on the
moduli spaces of Riemann surfaces satisfy both
Virasoro constraint conditions and the KdV equations.
Several generalizations of this celebrated theorem
have been discovered recently, establishing a deeper
understanding of where the Virasoro conditions and
the integrable equations such as KP and KdV are
originated. In this talk I will sketch recent developments
on the subject, focusing on the geometric structure in
topological string theory that leads to the Virasoro
conditions.