Wall-Crossing Structures, Analyticity, and Resurgence

Collection Wall-Crossing Structures, Analyticity, and Resurgence

Organizer(s) Maxim Kontsevich and Yan Soibelman

Date(s) 05/06/2023 - 10/06/2023

linked URL https://indico.math.cnrs.fr/event/9749/

00:00:00 / 00:00:00

18 20

DT Invariants and Holomorphic Curves

By Pierrick Bousseau

Kontsevich and Soibelman suggested a correspondence between Donaldson-Thomas invariants of non-compact Calabi-Yau 3-folds and holomorphic curves in complex integrable systems. After reviewing this general expectation, I will present a concrete example related to mirror symmetry for the local projective plane (partly joint work with Descombes, Le Floch, Pioline), along with applications in enumerative geometry (partly joint work with Fan, Guo, Wu). I will end by an “explanation” of the general correspondence based on the physics of N=2 4d quantum field theories and holomorphic Floer theory.

Information about the video

Date of recording 09/06/2023
Date of publication 12/06/2023
Institution IHES
Language English
Audience Researchers, Graduate Students
Format MP4

Domain(s)

Algebraic Geometry

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