11-14 June 2019
Le Bois-Marie
Europe/Paris timezone

Wall-crossing Formulas and Resurgence

12 Jun 2019, 11:30
1h
Centre de Conférences Marilyn et James Simons (Le Bois-Marie)

Centre de Conférences Marilyn et James Simons

Le Bois-Marie

35, route de Chartres 91440 Bures-sur-Yvette

Speaker

Yan Soibelman (Kansas State University)

Description

In the joint paper with M. Kontsevich (arXiv:0811.2435) among other things we introduced the notion of stability data on graded Lie algebras, upgraded later to the notion of wall-crossing structure in arXiv:1303.3253.
Both notions turned out to be suitable for spelling out wall-crossing formulas in various circumstances, in particular in Donaldson-Thomas theory of 3-dimensional Calabi-Yau categories as well as supersymmetric gauge theories in dimensions two and four.
Few years ago, we wrote a paper (yet unpublished) devoted to applications of that to algebraic, analytic and resurgent properties of series arising in wall-crossing formulas.
Aim of the talk is to discuss some of these ideas.

Primary author

Yan Soibelman (Kansas State University)

Presentation Materials