QGM seminar by Dennis Gaitsgory (Harvard University)

Title: The Serre functor for the affine flag space and affine category O

2019.04.11 | Jane Jamshidi

 Date Fri 19 Apr Time 15:15 — 16:15 Location 1531-215 (Aud-D3)

Abstract:

Serre functor is defined on any category for which Hom spaces are finite-dimensional. When the category is the category of quasi-coherent sheaves on a projective variety, it is given by tensor product by the canonical sheaf (the latter statement incapsulates Serre duality, hence the name). When the category in question is that of B-equivariant sheaves on the flag variety, the Serre functor is known to be the square of the intertwining functor.

In this talk, we'll discuss an extension of this result to the affine case.

Seminar