qsms.math.snu.ac.kr - [QSMS Monthly Seminar 2024-04-12] Local systems and finite group symmetry in Floer theory / Calabi-Yau structures on Rabinowitz Fukaya categories

Extra Form
일정시작	2024-04-12
일정종료	2024-04-12
배경색상	#036eb7

일정시작

2024-04-12

일정종료

2024-04-12

배경색상

#036eb7

2024년 04월 QSMS Monthly Seminar

Date: Apr. 12th (Fri) 14:00 ~ 17:00
Place: 27-220 (SNU)
Contents:

Speaker: 홍한솔 (연세대학교)

Title: Local systems and finite group symmetry in Floer theory
Abstract: Given a covering of a Lagrangian submanifold with a finite deck transformation group G, each representation of G produces a local system on the Lagrangian. When there is a finite group symmetry on a symplectic manifold, we discuss the construction of its orbifold mirror associated with the family of objects formed by a Lagrangian coupled with various local systems obtained through this procedure.

Speaker: 배한울 (서울대학교)

Title: Calabi-Yau structures on Rabinowitz Fukaya categories
Abstract: In this talk, I will first introduce the notion of proper Calabi-Yau structure on an A_infinity(or a dg category) and then the notion of relative proper Calabi-Yau structure on an functor between two A_infinity categories(or dg categories). Then I will explain that the Rabinowitz Fukaya category carries a proper Calabi-Yau structure under certain degree-wise finite assumption. Furthermore, I will discuss if the natural functor from wrapped Fukaya category to Rabinowitz Fukaya category carries a relative proper Calabi-Yau structure.

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