# The Serre functor for the affine flag space and affine category O

Dennis Gaitsgory (Harvard University)
Friday 19 April 2019 15:15–16:15 Aud. D3 (1531-215)
Seminar

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.

Organised by: QGM
Contact: Sergey Arkhipov Revised: 15.04.2019