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Deformation Theory Seminar

Monday, June 13, 2022 - 2:00pm

Camilo Arias Abad

Univeristy of ?


University of Pennsylvania

A recap of part I Singular Chains on Lie groups, the Cartan relations and Chern-Weil theory will be given before resuming. The recording is available from the organizer.

 We will describe how modules over the algebra of singular chains on a Lie group G can be described infinitesimally, in terms of the Lie algebra.

The Cartan relations from differential geometry are the fundamental equations in this correspondence.

I will explain this construction, and then describe how it relates to the Chern-Weiltheory for characteristic classesand to the category of

infinity local systems  on the classifying space BG.

The talk is based on joint works with A. Quintero and S. Pineda, and work in progress with M. Rivera.