Talk page

Title:
Holomorphic Floer Theory and Chern-Simons theory

Speaker:
Yan Soibelman

Abstract:
Holomorphic Floer Theory (HFT for short) is a project (or rather a program) we have been working on with Maxim Kontsevich for almost 10 years. It is related to several areas of mathematics and physics which are quite distant from symplectic topology. HFT gives a conceptual and unifying perspective on such topics as Riemann-Hilbert correspondence, periodic monopoles, count of saddle connections and resurgence of many generating series in geometry and physics.In this talk, which is a part of our project, I will explain how the ideas of HFT can be used to make a non-trivial predictions in Chern-Simons theory. In particular, if time permits, I will explain a hypothetical Hodge structure of infinite rank which is"responsible" for resurgence of perturbative expansions in complexified Chern-Simons theory

Link:
http://scgp.stonybrook.edu/video_portal/video.php?id=5892

Workshop:
Simons- Workshop: Simons Collaboration Homological Mirror Symmetry