Title: (n+ε)-Dimensional TQFTs and a Higher Dimensional Deligne Conjecture
Speaker: Kevin Walker
Date: Tuesday, May 9, 2013
Time: 11:30am – 12:30pm
Place: Lecture Hall 102, Simons Center
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Abstract: The classical Deligne conjecture (now a theorem with several published proofs) says that chains on the little disks operad act on Hochschild cohomology. I’ll describe a higher dimensional generalization of this result. In fact, even in the dimension of the original Deligne conjecture the generalization has something new to say: Hochschild chains and Hochschild cochains are the first two members of an infinite family of chain complexes associated to an arbitrary associative algebra, and there is a colored, higher genus operad which acts on these chain complexes.