Talk
Deformation theory of algebras
Abstract
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22.04.2026, 13:30 (G3 10 (Lecture hall))
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A celebrated theorem by Lurie and Pridham states, roughly speaking, that over a field k of characteristic zero there is a correspondence between pointed formal deformation problems and differential graded Lie-algebras (dglas), implemented by associating with a nice enough dgla a deformation problem via the simplicial Maurer-Cartan functor. This deep result formalized Deligne-Drinfeld's derived deformation theory philosophy, and has been extended in several directions, such as relaxing the restriction on the characteristic, working over families, or even considering different parameters other than dg-Artin local k-algebras. The goal of this lecture series is to introduce the audience to this technology by focusing on operadic deformation theory. Time permitting, we will review work of Kontsevich, Merkulov, Tamarkin, Willwacher... on deformation quantization.
Keywords
Deformation Theory, Maurer-Cartan Space, Operads
Prerequisites
Background in Homological/Homotopical Algebra
