Geometry/Physics Seminar

Title: Tensor categories in non-commutative geometry
Speaker: Professor Dmitry Kaledin
Speaker Info:
Brief Description:
Special Note:

Homological approach to non-commutative geometry says that no matter how we define a non-commutative variety X, it should definitely have a category of sheaves associated to it; so, we might as well dispense with X altogether and just study general abelian or triangulated categories. Surpisingly, a lot of things can be defined in this generality: smoothness, compactness, differential forms (=Hochschild homology classes), polyvector fields (=Hochschild cohomology classes). I will try to argue that instead of a category B, it is even better to study the tensor category End(B) of functors from B to itself, and maybe more general tensor categories. In particular, I will show how to define Hochschild and cyclic homology for a reasonable general tensor category C.
Date: Wednesday, February 14, 2007
Time: 4:00pm
Where: Lunt 107
Contact Person: Kevin Costello
Contact email: costello@math.northwestern.edu
Contact Phone: 773 910 8788
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