Topology Seminar

Title: Generalized Tannaka duality
Speaker: Daniel Schaeppi
Speaker Info: University of Chicago
Brief Description:
Special Note:

Tannaka duality is a duality between group-like objects (groups, compact topological groups, affine group/groupoid schemes over a field) and their categories of representations. To a group-like object we can assign its category of representations, and it turns out that we can often also go in the other direction: from the data of a category with certain structures we can construct a group-like object. The basic question is then to what extent these processes are inverse to each other.

In the case of affine group/groupoid schemes over a field this was settled by results of Saavedra-Rivano, Deligne and Milne. We provide a bicategorical framework for the Tannakian formalism. This allows us to generalize some of these results to affine group/groupoid schemes over arbitrary commutative rings, and, even more generally, Hopf algebroids in symmetric monoidal categories.

Date: Monday, October 3, 2011
Time: 4:10pm
Where: Lunt 104
Contact Person: Prof. Paul Goerss
Contact email: pgoerss@math.northwestern.edu
Contact Phone: 847-491-8544
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