Published on *Max-Planck-Institut für Mathematik* (http://www.mpim-bonn.mpg.de)

Posted in

- Vortrag [1]

Speaker:

David Carchedi
Zugehörigkeit:

George Mason University/MPIM
Datum:

Don, 15/07/2021 - 15:00 - 16:00 https://zoom.us/j/93172910947 [3]

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.

**Links:**

[1] http://www.mpim-bonn.mpg.de/de/taxonomy/term/39

[2] http://www.mpim-bonn.mpg.de/de/node/158

[3] https://zoom.us/j/93172910947