Working Seminar on mirror symmetry on the Hitchin system 

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.