Seminario: “Stokes phenomena and Stability conditions”

Giovedì 19 Settembre 2019, ore 12:00 - Sala Seminari 430 - Valerio Toledano Laredo


Giovedì 19 Settembre 2019 alle ore 12:00 in Sala Seminari 430, Valerio Toledano Laredo (Northeastern University) terrà un seminario dal titolo “Stokes phenomena and Stability conditions”

I will describe a dictionary discovered jointly with Tom Bridgeland between Stokes phenomena for irregular connections on $IP^1$ and stability conditions on an abelian category $A$. The choice of such a condition $Z$ gives rise to a family of unipotent elements in the Hall group of $A$, which we show to be the Stokes factors of a connection canonically associated to the pair $(A,Z)$. Wall-crossing, which describes the change in the moduli space of semistable objects as $Z$ varies, is then interpreted as an isomonodromic deformation of this connection.