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An invitation to symplectic mapping class groups

Algebraic Geometry and Number Theory Seminar

Date: Thursday, November 16, 2023 13:00 - 15:00
Speaker: Ailsa Keating (University of Vienna)
Location: Heinzel Seminar Room (I21.EG.101), Office Building West, ISTA
Series: Mathematics and CS Seminar
Host: Tamas Hausel

The first talk will be aimed at a general geometry & number theory audience. It will give an introduction to symplectic mapping glass groups, focusing on Stein manifolds (i.e. complex submanifolds of affine space), with an overview of some known (and unknown) properties. No knowledge of symplectic topology will be assumed. After the break, we will present further details on some recent results proved using tools from mirror symmetry (joint with Hacking, and with Smith); our exact focus will be fine-tuned depending on the audience's interest. For this part, familiarity with basic properties of derived categories of coherent sheaves (on smooth varieties) would be helpful.

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