16–20 sept. 2024
Le Bois-Marie
Fuseau horaire Europe/Paris

Geometry from Donaldson-Thomas invariants

20 sept. 2024, 10:00
1h
Centre de conférences Marilyn et James Simons (Le Bois-Marie)

Centre de conférences Marilyn et James Simons

Le Bois-Marie

35, route de Chartres 91440 Bures-sur-Yvette

Orateur

Tom Bridgeland (University of Sheffield)

Description

Our aim is to use the DT invariants to of a CY3 triangulated category to define a geometric structure on the space of stability conditions. So far we only know how to do this in a few simple examples. In the talk I will describe the expected geometry, which involves a hyperkahler structure, and discuss the main class of examples, which are some kind of complexified Hitchin systems.

Documents de présentation