The $A_\infty$ de Rham theorem and higher holonomies

The $A_\infty$ de Rham theorem and higher holonomies

Thu, 10/03/2011
13:00 		Camilo Arias Abad (University of Zurich) Junior Geometry and Topology Seminar Add to calendar SR1
The $ A_\infty $ de Rham theorem and higher holonomies
I will explain how Chen's iterated integrals can be used to construct an $ A_\infty $-version of de Rham's theorem (originally due to Gugenheim). I will then explain how to use this result to construct generalized holonomies and integrate homotopy representations in Lie theory.