## Next Talk

October

15

3pm - 4pm

### Tilting sheaves and the Baer-Bondal theorem

Daniel Bernal, The State University of Campinas

The study of derived categories of coherent sheaves has
been studied strongly in the last few years. However,
sometimes it is difficult to obtain good descriptions on
it. One method to studying is via representations of quivers,
as they behave nicely and its derived category is rather tame.
In this talk we are going to mention some past results which
indicate where the derived category of sheaves coincides with
the derived category of representations of quivers; which
essentially happens when we have a tilting sheaf, or a strong
exceptional collection. We expect to prove it and to give a
small breath of what is happening behind such equivalence.