Paris Diderot Sorbonne Université CNRS

Séminaire d’Analyse et Géométrie

Algebraicity in wall-crossing formulas and tropical geometry

Yan Soibelman - Kansas State University

mardi 18 juin 2019 à 14:00
Barre 15-25, 5ème étage, salle 02

Wall-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

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