Noncommutative Geometry

Title: String topology and the configuration space of two points
Speaker: Florian Naef
Speaker Info: University of Geneva
Brief Description:
Special Note:

This is a joint work with Thomas Willwacher. Given a manifold M, Chas and Sullivan construct a Lie bialgebra structure on the homology of the space of (unparametrized) loops using intresections and self-intersections of loops. We give an algebraic description of this structure under Chen's isomorphism identifying loop space homology with cyclic homology. More precisely, we construct a homotopy involutive Lie bialgebra structure on cyclic cochains that depends on the partition function of a Chern-Simons type field theory. Moreover, we discuss the (non-)homotopy invariance of that structure and its relation to the configuration space of two points.
Date: Tuesday, March 10, 2020
Time: 4:00pm
Where: Lunt 107
Contact Person: Boris Tsygan
Contact email: b-tsygan@northwestern.edu
Contact Phone:
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