[QSMS Monthly Seminar 2025-04-18] Real projective space and Tate homology / A geometric understanding of functors between cluster categories

by qsms posted Apr 18, 2025
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일정시작 2025-04-18
배경색상 #036eb7

2025년 04월 QSMS  Monthly Seminar

 

  • Date:   April 18th (Fri) 14:00 ~ 17:00
  • Place:  27-220 (SNU)
  • Contents:

 

Speaker:  강정수 (SNU)

Title:  Real projective space and Tate homology
Abstract:  The real projective space in a complex projective space is a Lagrangian submanifold. Its Floer homology group was computed by Yong-Guen Oh in 1995. In this talk, I will explain how this Floer homology can also be interpreted as the Tate homology of Z/2.

 

Speaker:  배한울 (SNU)

Title:  A geometric understanding of functors between cluster categories 
Abstract:  In collaboration with Wonbo Jeong and Jongmyeong Kim, we showed that the stable Fukaya category of the plumbing of the cotangent bundles of spheres of dimension n (greater than 2) along an acyclic quiver Q is equivalent to the generalized (n-1)-Calabi--Yau cluster category of Q. It was known that there exists a triangulated functor from the derived category of the path algebra of Q to the cluster category of Q. In this talk, I will explain how to realize this functor in a geometric way using the Lefschetz fibration structure on the plumbing space.