Topology Seminar

Title: Descent for n-Bundles
Speaker: Jesse Wolfson
Speaker Info: Northwestern University
Brief Description:
Special Note:

We show that the collection of k-morphisms in a Lie n-groupoid forms a Lie (n-k)-groupoid and we study descent for local n-bundles. Classically, given a Lie group G, one can construct a principal G-bundle on a manifold M by taking a cover U ----> M, specifying a transition cocycle on the cover, and then descending the trivialized bundle U x G along the cocycle. We demonstrate the existence of an analogous construction for local n-bundles for general n. We establish analogues for simplicial Lie groupoids of Moore's results on simplicial groups; these imply that bundles for strict Lie n-groupoids arise from local n-bundles. We conclude by showing how our construction leads to a simple finite dimensional model of the Lie 2-group String(n).
Date: Monday, June 3, 2013
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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