Video library: B. B. Shoikhet, Deligne conjecture for higher-monoidal abelian categories

VIDEO LIBRARY


International Conference dedicated to the 60-th birthday of Boris Feigin "Representation Theory and applications to Combinatorics, Geometry and Quantum Physics" December 15, 2013 12:35, Moscow, Independent University of Moscow

Deligne conjecture for higher-monoidal abelian categories B. B. Shoikhet
Abstract: We discuss and outline a proof of some generalization of “Deligne conjecture” for $n$-fold monoidal abelian categories. We illustrate it in two examples: the category of bimodules over an associative algebra ($n=1$), and the category of tetramodules over a Hopf algebra ($n=2$). As well, we discuss some approach to formality phenomena in deformation theory, natural from this point of view. Language: English