Title：Applications of statistical physics methods to Gromov-Witten type theories

Speaker：张庆生 （北京大学）

Time：2021年7月30日，周五，上午  10:00-11:30 

Room：科大东区 物质科研楼C1124

Abstract：Gromov-Witten type theory is a field theory coupled with two-dimensional topological gravity. The simplest example is the GW theory of a point which counts intersection numbers on the Deligne-Mumford moduli space and the famous Witten conjecture/ Kontsevich theorem establishes the relationship of this theory with KdV integrable hierarchy. The genus zero data of Gromov-Witten theory defines the quantum cohomology structure on the target manifold; the higher genus data can be packaged into some polynomials known as the finite generation structure conjecture. In this talk, i will give a brief introduction of GW theory and then introduce how to compute the GW invariants by renormalization theory and mean field theory. Some dualities between various GW type theories will be discussed from the point of view of the emergent geometry introduced by Jian Zhou. This talk is based on my joint works with Jian Zhou and Shuai Guo.