UBC Algebraic Geometry Seminar: Shubham Sinha

The moduli space of stable bundles on curves has been extensively studied. Notably, Jeffrey--Kirwan calculated the intersection numbers on this moduli space in terms of iterated residues, first written down by Witten in the physics literature. However, only partial answers were known for the virtual intersection numbers on the Quot scheme of curves. In this talk, I will present a formula computing full descendent series on Quot schemes of curves, generalizing the Vafa--Intriligator formula proved by Marian--Oprea and some recent calculations by Oprea--Pandharipande. I will show how this provides a new way to study the cohomology ring of the moduli space of stable bundles. This is based on joint work with Alina Marian.