UM Math Graduate Student Seminar

Manuel Rivera
University of Miami

will present

Iterated Integrals and Loop Spaces

Friday, November 2nd, 2018, 5:00pm
Ungar Building Room 402


Abstract:

I will explain how the process of iterated integration of an ordered
finite sequence of differential forms on a smooth manifold M (introduced
by K.T. Chen in the 1970’s) yields a differential form on the space of
based loops in M. Then I will describe how this construction can be used
to obtain cohomological models for different kinds of paths spaces and how
it connects with constructions from homological algebra such as Hochschild
homology.

 


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