Séminaires : Séminaire d'Analyse et Géométrie

Equipe(s) :
Responsables :O. Biquard, A. Deruelle, I. Itenberg, X. Ma
Email des responsables : {olivier.biquard, alix.deruelle, ilia.itenberg, xiaonan.ma}@imj-prg.fr
Salle : 15–25.502
Adresse :Jussieu

Orateur(s) Yan Soibelman - Kansas State University,
Titre Algebraicity in wall-crossing formulas and tropical geometry
Horaire14:00 à 15:00
RésumeWall-crossing formulas proposed in a joint paper with Maxim Kontsevich (arXiv:0811.2435) for the purposes of Donaldson-Thomas theory can be explained in terms of the notion of stability data on graded Lie algebras introduced in the loc.cit. By interpreting wall-crossing formulas as gluing of a non-archimedean analytic space from standard tube domains one can approach the question of algebraicity of series which appears in the story. I plan to discuss this circle of ideas and its relationship to tropical geometry