Hochschild cohomology of Hilbert schemes of points

Abstract: I will present a formula describing the Hochschild cohomology of symmetric quotient stacks, computing the Hochschild–Kostant–Rosenberg decomposition of this orbifold. Through the Bridgeland–King–Reid–Haiman equivalence this allows the computation of Hochschild cohomology of Hilbert schemes of points on surfaces. These computations explain how this invariant behaves differently from say Betti or Hodge numbers, which have been studied intensively in the past 30 years, and it allows for new deformation-theoretic results. This is joint work with Lie Fu and Andreas Krug.

mathematical physicscommutative algebraalgebraic geometryrings and algebrasrepresentation theorysymplectic geometry

Audience: researchers in the topic

( slides )

Comments: The Zoom link is uni-koeln.zoom.us/j/91875528987?pwd=US8wdjNrWjl5dXNQSVRzREhoRE1PUT09

Meeting ID: 918 7552 8987 Password: LAGOON

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Longitudinal Algebra and Geometry Open ONline Seminar (LAGOON)

Series comments: Description: Research webinar series

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