Seminario Geometría

Harder-Narasimhan theory for gauged maps

Ponente:  Andrés Fernández Herrero (Columbia University)
Fecha:  miércoles 06 de septiembre de 2023 - 16:00
Lugar:  Aula Naranja, ICMAT


I will discuss recent techniques developed to construct moduli spaces of decorated principal bundles on a fixed compact Riemann surface. Using these techniques, we construct a Harder-Narasimhan stratification, which we use to obtain a generalization of the Verlinde formula in the context of decorated principal bundles. This talk is based on joint work with Daniel Halpern-Leistner.