数学科学研究所
Insitute of Mathematical Science

Seminar: Some wall-crossing technique in enumerative geometry

Seminar| Institute of Mathematical Sciences

Time:Monday, October 25th, 2021, 14:30-15:30 

Location:R408, IMS

 

Speaker:  Yang Zhou, Shanghai Center for Mathematical Sciences

Abstract: The theory of Gromov-Witten invariants is a curve counting theory defined by integration on the moduli of stable maps. Varying the stability condition gives alternative compactifications of the moduli space and defines similar invariants. One example is epsilon-stable quasimaps, defined for a large class of GIT quotients. When epsilon tends to infinity, one recovers Gromov-Witten invariants. When epsilon tends to zero, the invariants are closely related to the B-model in physics. The space of epsilon's has a wall-and-chamber structure. In this talk, I will explain how wall-crossing helps to compute the Gromov-Witten invariants and sketch a proof of the wall-crossing formula.


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邮编:201210
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