PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Nigel Higson, John Roe, Ping Xu, Mathieu Stienon.

Title:The higher Riemann-Hilbert correspondence
Seminar:Noncommutative Geometry Seminar
Speaker:Aaron Smith, University of Pennsylvania
I will discuss joint work with Jonathan Block, in which we prove a higher-homotopical version of the smooth Riemann-Hilbert correspondence.  Specifically, this is an (A_\infty, quasi-) equivalence between two geometric dg-categories naturally associated to a smooth, compact manifold.  The objects of one consist of Z-graded modules over the functions on the manifold with a kind of homotopy-flat Z-graded connection.  The other consists of "infinity-local systems" which, from a certain perspective can be regarded as linear representations of the singular simplicial set of the manifold.  The functor is constructed explicitly as a holonomy calculation using the theory of iterated integrals.

Room Reservation Information

Room Number:MB106
Date:03 / 31 / 2011
Time:02:30pm - 03:30pm