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Deformation Theory Seminar

Monday, October 4, 2021 - 2:00pm

Seokbong Seol

Penn State


University of Pennsylvania


Zoom only - available @1:45 pm Note time has been corrected



Exponential maps arise naturally in the contexts of Lie theory and smooth manifolds. The infinite jets of these classical exponential maps are related to Poincar\'e--Birkhoff--Witt isomorphism and the complete symbols of differential operators.

We will investigate the question on how to extend these maps to dg manifolds. As an application, we will show there is an L-infinity structure in connection with the Atiyah class of a dg manifold. In a special case, it is related to Kapranov’s L-infinity structure.


This is a joint work with Mathieu Stienon and Ping Xu.