Bridgeland stability and variation calculus on non-archimedean spaces

Mardi 6 février 14:15-15:15 - Maxim Kontsevich - IHES

Résumé : I will talk about some aspects of a work in progress with F.Haiden, L.Katzarkov and P.Pandit, on analogs of harmonic metrics in non-archimedean setting. The general idea is to mimic differential equations for special Lagrangian subvarieties. As an application, we define a map from the set of triple of norms on a finite-dimensional space over a non-archimedean field, to the set of honeycomb diagrams in plane. This map is not unique, and depends in a non-trivial way on a density on plane, and is given by solutions of certain Euler-Lagrange equations for paths in buildings.

Lieu : IMO Bât. 307, salle 3L15

Bridgeland stability and variation calculus on non-archimedean spaces  Version PDF