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Abstract

Speaker: Bruno Vallette, University of Nice

Title: Koszul duality for props and Cohomology of P_algebras

Abstract:

The aim of this talk is to explain the generalization of Koszul duality for associative algebras and operads to props and to use this theory to define the cohomology theory for "bialgebras" over a Koszul prop P. In this case, we define a Lie bracket on the cochain complexes which allows to study the deformations of the "bialgebras" over P.



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