Maxim Kontsevich - Stability conditions in Fukaya categories: old and new ideas @IhesFr
Maxim Kontsevich - Stability conditions in Fukaya categories: old and new ideas  @IhesFr
Uploaded June 2026 | Updated September 2026, 2 weeks ago
For the Fukaya category associated to a symplectic manifold with vanishing $c_1$, 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.

Maxim Kontsevich (IHES)

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Institut des Hautes Etudes Scientifiques (IHES) |

Maxim Kontsevich - Stability conditions in Fukaya categories: old and new ideas

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