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Texas A&M University

Geometry Seminar

Date: October 19, 2020

Time: 3:00PM - 4:00PM

Location: Zoom

Speaker: Guangbo Xu, Texas A&M University


Title: Fukaya categories and blowups

Abstract: Under Kontsevich's homological mirror symmetry conjecture, the Fukaya category is the open-string invariant on the symplectic side (A-model), as opposed to the derived category of coherent sheaves as the invariant on the complex side (B-model). In this semi-expository talk, I will first give a hand-waiving introduction to the Fukaya category. Then I will talk about a recent result joint with Sushmita Venugopalan and Chris Woodward. We showed that under a point blowup, the Fukaya category "grows" in a similar way as the change of the cohomology group.