Seminario Álgebra Geometría Algebraica y Aritmética
Branes on the singular locus of the Hitchin system and Fourier-Mukai transform
Ponente: Emilio Franco Gómez (ICMAT-UAM)Fecha: lunes 27 de octubre de 2025 - 11:10Lugar: Aula 420, Módulo 17, Departamento de Matemáticas, UAM
Resumen:
We will introduce the Hitchin system as the background for a certain conjectured duality (called Mirror symmetry) between objects inspired from mathematical physics, called branes. Mirror symmetry can be partially understood by an equivalence of categories of sheaves derived from the work of Mukai and Arinkin which goes by the name of Fourier-Mukai transform.
In this talk we will focus on an example of branes lying on the singular locus of the Hitchin system. By studying the Fourier-Mukai transform of these "singular" branes we pose some questions on the current statement of the conjectured duality of Mirror symmetry for branes.
This is joint work with Johannes Horn (Frankfurt), Robert Hanson (Imperial) and André Oliveira (Porto).
