Yan Soibelman - Wall-crossing formulas and resurgence
Channel: Institut des Hautes Études Scientifiques (IHÉS)
Date: 2019-07-03

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  as   well   as supersymmetric gauge theories in dimensions two and four.Few  years  ago,  we  wrote  a  paper  (yet  unpublished)  devoted  to  applications  of  thatto algebraic,  analytic  and  resurgent  properties  of  series  arising  in  wall-crossing  formulas.Aim of the talk is to discuss some of these ideas.