**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.