Linear subspaces of the intersection of two quadrics via Kuznetsov component
Yanjie Li
2024-01-09 9:00-10:00
MCM110
Speaker: Yanjie Li (Sun Yat-sen University)Time: 9:00-10:00 January 9, 2024 (Tuesday)
Place: MCM110
Title: Linear subspaces of the intersection of two quadrics via Kuznetsov component
Abstract: We associate the linear subspaces in the intersection of two 2g dimensional quadrics with the vector bundles on the hyperelliptic curve of genus g via the projection functor to Kuznetsov component. As an application, we give a different proof of the classification of line bundles and stable bundles of rank 2 on hyperelliptic curves given by Desale and Ramanan. When g=3, we also show there's an embedding from the intersection of two quadrics to the moduli space of stable rank 4 bundles. This is a joint work with Shizhuo Zhang.
