Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg

 

Oberseminar zur Algebra und Zahlentheorie

 

Marco Rampazzo
University of Bologna

 
spricht am
 
Donnerstag, 30. November 2023
 
um
 
12:30 Uhr
 
im
 
Raum 3008 (L1)
 
über das Thema:
 

»Full exceptional collections for homogeneous varieties«

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



[Impressum]      [Datenschutz]      wwwadm@math.uni-augsburg.de,     Mo 27-Nov-2023 21:35:53 MEZ