Universität Augsburg
|
Marco Rampazzo
University of Bologna
spricht am
Donnerstag, 30. November 2023
um
12:30 Uhr
im
Raum 3008 (L1)
über das Thema:
Abstract: |
It is conjectured that all rational homogeneous varieties admit a full exceptional collection of vector bundles, i.e. their derived categories of coherent sheaves are generated by a finite list of vector bundles. In the first part of the talk I will review the notion of full exceptional collection, and I will describe the state of the art of the problem. Then, I will review the approach of Kuznetsov-Polishchuk for constructing exceptional collections on homogeneous varieties, and I will show that such approach, in the case of the spinor tenfold, produces a full exceptional collection (joint work with Riccardo Moschetti). In the last part of the talk, I will discuss some possible approaches to produce full exceptional collections for homogeneous varieties. |
Hierzu ergeht herzliche Einladung. |
Prof. Dr. Maxim Smirnov |