1–2 juin 2026
Le Bois-Marie
Fuseau horaire Europe/Paris

Contact : Elisabeth Jasserand

Stability conditions in Fukaya categories: old and new ideas

2 juin 2026, 15:30
1h
Amphithéâtre Léon Motchane (Le Bois-Marie)

Amphithéâtre Léon Motchane

Le Bois-Marie

35, route de Chartres 91440 Bures-sur-Yvette

Orateur

Maxim Kontsevich (IHES)

Description

For the Fukaya category associated to a symplectic manifold with vanishing c₁, it is expected that closed complex-valued differential forms of middle degree subject to an open constraint each give rise to a Bridgeland stability structure (often called a stability condition in the literature). I will discuss related questions in differential geometry and attempts to formulate precise conjectures.

The talk is based on earlier ideas developed together with Yan Soibelman, and on a current joint project with Fabian Haiden, Ludmil Katzarkov and Pranav Pandit.

Documents de présentation