qsms.math.snu.ac.kr - [QSMS-BK21 Seminar 2022-08-29] Symplectic Cohomology, String Topology, and Deformations

Extra Form
일정시작	2022-08-29
일정종료	2022-08-29
배경색상	#7164D0

일정시작

2022-08-29

일정종료

2022-08-29

배경색상

#7164D0

Date : 2022-08-29 10:00 ~ 18:00. (Lunch: 13:00 - 14:00, Break: 15:20 - 15:30)
Place : 129-406 (SNU)
Speaker : 김용환 (SNU)
Title : Symplectic Cohomology, String Topology, and Deformations
Abstract :

This talk is intended to be a review of Seidel's 2002 ICM talk "Fukaya Categories and Deformations", from the viewpoint of symplectic cohomology. Given an affine variety, one can consider its normal crossings divisor compactification to view it as a Liouville domain: then it is believed that the differentials in symplectic cohomology should be related to relative Gromov-Witten invariants. Extrapolating this viewpoint, Borman-Sheridan-Varolgunes has conjectured that quantum cohomology can be viewed as a deformation of the "L-infinity structure" on symplectic cohomology. Though the existence of a L-infinity structure has not been proven yet, works of Tonkonog and Ganatra-Pomerleano have verified the Borman-Sheridan class for some cases.
In this talk, I will give an overview of these developments, and introduce some key properties that govern the behavior of holomorphic curves.

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