Topology Seminar

Title: From higher categories to manifold topology
Speaker: Nick Rozenblyum
Speaker Info: Northwestern University
Brief Description:
Special Note:

We will describe a geometric approach to the theory of higher categories as sheaves on a category of framed n-manifolds with configurations. Using this geometric description, we will define "composition cohomology," an invariant of framed n-manifolds associated to an (\infty, n)-category with adjoints. Composition cohomology is the recipient of a higher dimensional version of the Dennis trace map. This formalism gives a universal construction of topological quantum field theories. This is joint work with David Ayala.
Date: Monday, March 4, 2013
Time: 4:10pm
Where: Lunt 104
Contact Person: Prof. Paul Goerss
Contact email: pgoerss@math.northwestern.edu
Contact Phone: 847-491-8544
Copyright © 1997-2024 Department of Mathematics, Northwestern University.