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Hochschild Cohomology and Deformation Theory of Hilbert Schemes of Points on Surfaces

Offered By: Hausdorff Center for Mathematics via YouTube

Tags

Deformation Theory Courses Algebraic Geometry Courses Hilbert Schemes Courses

Course Description

Overview

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Explore the computation of Hochschild cohomology groups for Hilbert schemes of points on surfaces in this advanced mathematics lecture. Delve into the non-commutative method used to analyze symmetric quotient stacks of varieties in arbitrary dimensions. Discover how this approach leads to various consequences in deformation theory, generalizing and reproving results by Bottacin, Fantechi, and Hitchin. Gain insights into an amended version of Boissière's conjecture on twisted Hodge numbers of Hilbert schemes. Learn about the collaborative research conducted with Pieter Belmans and Andreas Krug, as presented in their arXiv paper 2309.06244.

Syllabus

Lie Fu: Hochschild cohomology and deformation theory of Hilbert schemes of points on surfaces


Taught by

Hausdorff Center for Mathematics

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