Speaker
Prof.
Andrea Ricolfi
Description
Moduli spaces of stable sheaves on threefolds are notoriously difficult to understand and describe geometrically, especially in rank $>1$.
In this talk, I will give an explicit description, in terms of Quot schemes of reflexive sheaves, of an infinite family of moduli spaces of rank-$2$ sheaves on $\mathbb{P}^3$.
Several properties of these families will be discussed.
One of the key tools used to establish this description at the scheme-theoretic level is DT/PT wall-crossing in the framework of Bridgeland stability.
This is joint work in progress with Charles Almeida, Nicolò Bignami, and Marcos Jardim.