Logo der Mathematisch-Naturwissenschaftlich-Technischen Fakultät der Universität Augsburg

Universität Augsburg
Institut für Mathematik

 Logo der Mathematisch-Naturwissenschaftlich-Technischen Fakultät 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