Geometry of syzygies of sheaves on P2 via interpolation and Bridgeland stability

The minimal free resolution of a sheaf on P2, such as a vector bundle or the ideal sheaf of points, carries important information about its moduli space. However, how it may do so has remained unclear.

This talk aims to clarify the previous situation and, I will compute the cone of effective divisors of moduli spaces of sheaves using syzygies.

For more information, please see https://researchseminars.org/seminar/harvard-mit-ag-seminar