Chiral de Rham Seminar

Tuesday, July 25, 2023 11:00 am - 11:00 am EDT (GMT -04:00)

Changho Han, Department of Pure Mathematics, University of Waterloo

"Direct Images of D-modules: both naive and derived"

In this talk, I will first define the naive direct image of a D-module, and then provide examples for closed immersion and smooth surjections. After that, I will explain the philosophy of derived categories/functors as an analogy from sheaf cohomology theory a la Hartshorne, and use that machinery to provide the derived pullbacks/pushforwards, which are the "correct" definitions. If time remains, I will explain how examples fit under this new framework.

MC 5403