Seminario Geometría
Character varieties: from geometry to arithmetic
Ponente: Lucas de Amorin (Universidad de Buenos Aires)Fecha: miércoles 29 de octubre de 2025 - 11:30Lugar: Aula Gris 2, ICMAT
Resumen:
Hodge numbers of character varieties have been studied with two different methods. On one side, the arithmetic one, developed by T. Hausel and F. Rodriguez-Villegas, that uses characters of finite groups of Lie type. On the other side, the geometric one, started by M. Logares, V. Muñoz, and P. Newstead, which is based on stratifications and fibrations. In joint work with Á. González-Prieto, M. Hablicsek, and M. Mereb, we explore how to extend the geometric method to arbitrary reductive groups as well as its connections with the arithmetic one. In this talk, I will present some results and some conjectures we have.
