Personal tools
You are here: Home Events P^n-functors and cyclic covers

P^n-functors and cyclic covers

— filed under:

Timothy Logvinenko (University of Cardiff)

What
  • SFB-Kolloquium
When May 03, 2018
from 03:30 pm to 04:30 pm
Where Mainz, 05-432 (Hilbertraum)
Add event to calendar vCal
iCal

Abstract.

I will begin by reviewing the geometry of a cyclic cover branched in a divisor. I will then explain how it gives the first ever example of a non-split P^n-functor.

Given a sphere or a complex projective space on a Lagrangian manifold Y, one can construct a certain natural symplectomorphism of Y called a Dehn twist. Spherical and P^n-functors are mirror symmetrical equivalents of this. These are functors between derived categories of algebraic varieties which induce natural autoequivalences known as spherical or P^n-twists. They arise naturally in many contexts related to moduli spaces or geometric representation theory.

If there is time, I will also explain the connection with the notion of a perverse schober introduced recently by Kapranov and Schechtmann.

This is a joint work with Rina Anno (Kansas).