Hochschild cohomology and non-commutative deformations

Wendy Lowen (Universiteit Antwerpen)

Monday 16th November, 2009 16:00-17:00 Mathematics Building, room 204

Abstract

I will explain the relation between the Hochschild cohomology of a scheme and its "non-commutative deformations'' using associated presheaves and abelian categories. Along the way, I will discuss a cohomology comparison theorem for prestacks which clarifies certain aspects of Gerstenhaber and Schack's original cohomology comparison theorem for presheaves.

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