Universität Bonn

Workshop on derived categories


February 10 - 13, 2014

HIM Lecture Hall, Poppelsdorger Allee 45

Organizers: 

Nicolas Addington, Nathan Broomhead, Will Donovan, Andreas Hochenegger, Ciaran Meachan, Hendrik Süß

Description:

This was a joint workshop of the groups "Derived categories of hyper-Kähler varieties" and "The derived category of a T-variety".

Speakers: 

Marcello Bernardara, Michele Bolognesi, Igor Burban, Lutz Hille, Daniel Huybrechts, Manfred Lehn, Luigi Lombardi, Eyal Markman, Sukhendu Mehrotra, Arvid Perego, Markus Perling, David Ploog, Pawel Sosna, Paolo Stellari, Tom Sutherland, Xiaolei Zhao


Schedule

Monday, February 10

10:30 - 11:00 Welcome coffee
11:00 - 12:00 Daniel Huybrechts: Finite groups of symplectic derived equivalences
12:00 - 13:45 Lunch break
13:45 - 14:45 Luigi Lombardi: Derived equivalences of irregular varieties and non-vanishing loci
15:00 - 16:00 Igor Burban: Non-commutative nodal curves and finite dimensional algebras
16:00 - 16:30 Tea and cake

Tuesday, February 11

9:30 - 10:30 Marcello Bernardara: Semiorthogonal decompositions and birational geometry of geometrically rational surfaces
10:30 - 11:00 Coffee break
11:00 - 12:00 Paolo Stellari: Fourier-Mukai functors: derived vs dg categories
12:00 - 13:45 Lunch break
13:45 - 14:45 Arvid Perego: Moduli spaces of stable sheaves on non-algebraic K3 surfaces
15:00 - 16:00 Tom Sutherland: Stability conditions and flat connections
16:00 - 16:30 Tea and cake
16:30 - 17:30 Talk or diskussion or free time

Wednesday, February 12

9:30 - 10:30 Sukhendu Mehrotra: Hilbert schemes of points on K3 surfaces and deformations
10:30 - 11:00 Coffee break
11:00 - 12:00 Eyal Markman: Hyperholomorphic sheaves and generalized deformations of K3 surfaces
12:00 - 13:45 Lunch break
13:45 - 14:45 Xiaolei Zhao: The MMP for deformations of Hilbert schemes of points on projective plane
15:00 - 16:00 Pawel Sosna: Survey on phantom categories
16:00 - 16:30 Tea and cake
16:30 - 17:30 Talk or diskussion or free time
18:00 - 19:00 Reception

Thursday, February 13

9:30 - 10:30 Markus Perling: Combinatorial aspects of exceptional sequences on (rational) surfaces
10:30 - 11:00 Coffee break
11:00 - 12:00 Lutz Hille: On the derived category in global dimension two (joint with David Ploog)
12:00 - 13:45 Lunch break
13:45 - 14:45 Michele Bolognesi: A tour of categorical representability
15:00 - 16:00 David Ploog: Derived symmetries of Hilbert schemes of the projective plane
16:00 - 16:30 Tea and cake


Participants

Person
Affiliation
Period of stay
Nicolas Addington Duke University
Hamid Ahmadinezhad MPIM
Marcello Bernardara Université P. Sabatier
Michele Bolognesi Université Rennes 1
Igor Burban University of Cologne
Adam Czaplinski Johannes Gutenberg-Universität Mainz
Will Donovan University of Edinburgh
Lutz Hille Universität Münster
Daniel Huybrechts Universität Bonn
Manfred Lehn Universität Mainz
Luigi Lombardi Universität Bonn
Eyal Markman University of Massachusetts
Ciaran Meachan The University of Edinburgh
Sukhendu Mehrotra Chennai Mathematical Institute
Ernesto Carlo Mistretta Universita' di Padova
Marc-Hubert Nicole Université d'Aix-Marseille
Arvid Perego Université de Lorraine
Markus Perling Universität Bielefeld
Carolin Peternell Johannes Gutenberg-Universität Mainz
David Ploog Universität Duisburg Essen
Francesco Polizzi Università della Calabria
Pawel Sosna Universität Hamburg
Paolo Stellari Universita' degli Studi di Milano
Thomas Sutherland University of Sheffield
Xiaolei Zhao University of Michigan
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