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Box operads and deformations of prestacks

Connections Workshop: Noncommutative Algebraic Geometry February 01, 2024 - February 02, 2024

February 01, 2024 (11:00 AM PST - 12:00 PM PST)
Speaker(s): Wendy Lowen (Universiteit Antwerpen)
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Box operads and deformations of prestacks

Abstract

In the first part of the talk, we give an overview of various ways in which deformation theory shapes conceptions of noncommutative spaces. In the second part of the talk, we focus on prestacks which occur as deformations of schemes. We introduce the framework of box operads in order to establish the relevant higher structure on the Gerstenhaber-Schack complex of a prestack, allowing for a self-contained treatment of the higher order deformation theory of prestacks. This is joint work with Hoang Dinh Van and Lander Hermans.

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Box operads and deformations of prestacks

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