13/11/2019, 15:00 — 16:00 — Sala P3.31, Pavilhão de Matemática
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.