Kenji Fukaya (Simons Center for Geometry and Physics)

Title: Homological (homotopical) algebra and moduli spaces in Topological Field theories

Abstract: Moduli spaces of various gauge theory equations and of various versions of (pseudo) holomorphic curve equations have played important role in geometry in these 40 years. Started with Floer’s work people start to obtain more sophisticated object such as groups, rings, or categories from (system of) moduli spaces. I would like to survey some of those works and the methods to study family of moduli spaces systematically.

Talk chair: Peter Kronheimer

Slides | Video