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Texas A&M University
Mathematics

Geometry Seminar

Date: November 19, 2021

Time: 4:00PM - 5:00PM

Location: zoom

Speaker: Gleb Smirnov, ETH, Zurich

  

Title: Symplectic mapping class groups of K3 surfaces

Abstract: I will briefly introduce symplectic mapping class groups and explain how to use Seiberg-Witten theory to get information about them. In particular, I will prove that the symplectic mapping class groups of many K3 surfaces are infinitely generated, thus extending a recent result of Sheridan and Smith. Time permitting, we will also discuss the elliptic version of the story, where K3 is replaced with a blow-up of the complex torus.