Seminar: A scattering diagram for semistable sheaves on the projective plane

Seminar | April 19 | 11:10 a.m.-12 p.m. | 939 Evans Hall

 Pierrick Bousseau, ETH

 Department of Mathematics

I will describe a tropical looking algorithm computing Betti numbers (for intersection cohomology) of moduli spaces of semistable sheaves on the projective plane. This algorithm is an explicit realization of the naive idea of moving in a space of stability conditions and applying a wall-crossing formula. I will also discuss some application to some a priori unrelated question in relative Gromov-Witten theory.

 vivek@math.berkeley.edu