13/11/2019, 15:00 — 16:00 — Room P3.31, Mathematics Building
Tom Sutherland, Faculdade de Ciências, Universidade de Lisboa
The derived category of coherent sheaves
Motivated by its role in homological mirror symmetry, this talk will introduce the derived category of coherent sheaves on a smooth projective variety. We will see that many of the typical operations on coherent sheaves can be lifted to derived functors, respecting the triangulated structure of the derived category. This paves the way for the systematic study of these functors as Fourier-Mukai transforms.
06/11/2019, 15:00 — 16:00 — Room P4.35, Mathematics Building
Emilio Franco, CAMGSD, Instituto Superior Técnico
Introduction to Mirror Symmetry on the Hitchin System
This will be an introductory talk for the Working Seminar on Mirror Symmetry on the Hitchin System. During this minicourse, organized by T. Sutherland and myself, we aim to understand Mirror Symmetry on Higgs moduli spaces as a classical limit of the Geometric Langlands program. In this talk I will briefly describe the geometrical objects involved in this program and provide a motivation for it coming from mathematical physics. The structure of the working seminar will also be discussed.