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International Conference dedicated to the 60-th birthday of Boris Feigin "Representation Theory and applications to Combinatorics, Geometry and Quantum Physics"
December 15, 2013 12:35–13:25, Moscow, Independent University of Moscow
 


Deligne conjecture for higher-monoidal abelian categories

B. B. Shoikhet
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B. B. Shoikhet


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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

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