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Derived differential geometry and quantization

Posted in
Speaker: 
David Carchedi
Affiliation: 
George Mason University/MPIM
Date: 
Thu, 2021-07-15 15:00 - 16:00
Parent event: 
MPI-Oberseminar

https://zoom.us/j/93172910947
Meeting ID: 931 7291 0947
For passcode please contact Christian Kaiser (kaiser@mpim-bonn.mpg.de).

We will start by explaining what derived manifolds and derived differential geometry are, and how this type of geometry
naturally arises from the viewpoint of Feynman's path-integral formalism. We will then give a rigorous construction of the
"derived space of solutions" to the field equations of a Lagrangian gauge field theory, in particular for 3D Chern-Simons
and Yang-Mills, recovering well-known aspects of the quantization of such theories. Finally, we will explain how such a
construction suggests a globalized notion of BV-quantization. Much of this is joint work with Owen Gwilliam. No familiarity
with any of the terms mentioned in this abstract will be assumed.

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