Mikhail Kapranov - Perverse schobers on surfaces via Ran categories
Channel: Institut des Hautes Études Scientifiques (IHÉS)
Date: 2017-06-12

Abstract:
Perverse schobers and conjectural categorical analogs of perverse sheaves, where vector spaces are replaced by triangulated categories.  The talk will present a natural definition of such object for the case when the base space is a Riemann surface.  The construction is based on a certain analog of the exit path category of the Ran space.  
Joint work with T. Dyckerhoff, V. Schechtman and Y. Soibelman.