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Joseph Hirsh: Deformations with noncommutative parameters

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Published on Jul 26, 2012

Joseph Hirsh, City University of New York
Abstract: In this talk I will describe the classical yoga of deformation theory---that commutative moduli problems are locally described by dgLie algebras---and provide some examples. Then, importing tools from operad theory, most notably Koszul Duality, I will describe a generalization that classifies the local structure of noncommutative moduli problems.

I will conclude by describing some ongoing work to exploit the relationship between noncommutative deformation theory and Goodwillie's calculus of functors.

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