Mathematics Inspired by Physics

Collection Mathematics Inspired by Physics

Organizer(s) Mikhail Kapranov, Maxim Kontsevich
Date(s) 01/06/2026 - 02/06/2026
linked URL https://indico.math.cnrs.fr/event/16542/
00:00:00 / 00:00:00
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Stability conditions in Fukaya categories: old and new ideas

By Maxim Kontsevich

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.

Information about the video

  • Date of recording 02/06/2026
  • Date of publication 11/06/2026
  • Institution IHES
  • Language English
  • Audience Researchers
  • Format MP4

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