Workshop on Resurgence, wall-crossing & geometry

Jan 12, 2025, 7:00 PM – Jan 17, 2025, 2:00 PM

SwissMAP Research Station CH-1865 Les Diablerets Switzerland

Organized by

Jørgen Andersen (Southern University of Denmark), Bertrand Eynard (Université Paris-Saclay), Marcos Mariño (UNIGE), Maxim Kontsevich (IHES)

The theory of resurgence was developed to provide a deeper understanding of asymptotic series in various fields of mathematics. More recently, this theory has been applied to problems in geometry and topology, leading to a new perspective on enumerative invariants in three-manifold topology and in algebraic geometry. A remarkable synthesis is emerging, relating analytic invariants in the theory of resurgence to enumerative invariants, as well as their wall-crossing behavior. The physical framework for these phenomena is non-perturbative quantum field theory and string theory, and beautiful results and conjectures are being obtained both in physics and in mathematics.