Date: 1 March 2013, 4:30pm
Location: Hempfield High School, Room 213
 Speaker: Thomas Tradler, City University of New York
   Title: Holonomy via higher Hochschild complexes

Abstract.  We will recall the notion of simplicial sets and
simplicial spaces in specific elementary examples, and show how this
naturally produces the Hochschild complex of an associative algebra and
higher analogues of it. We will use the Chen iterated integral map to
derive the holonomy of a vector bundle purely from connection data
encoded in a Hochschild complex. Going one level higher, a similar
construction also encodes the holonomy of a gerbe via data living on a
torus Hochschild complex.