Complexity of Lagrangian submanifolds
Date: Thu, Apr 17, 2025
Location: PIMS, University of Regina, Online
Conference: University of Regina PIMS Distinguished Lecture
Subject: Mathematics
Class: Scientific
Abstract:
Lagrangian submanifolds are a central object of study in symplectic topology. Their rigidity properties have been uncovered via Floer theory since the early ’90’s. The talk will briefly review the subject, in particular how triangulated category structures naturally arise in this context through work of Donaldson, Kontsevich, Fukaya, and others. Further, will be discussed the more recent, natural role of persistence theory, in the sense common in data science. Finally, we will outline how complexity measurements based on persistence methods reflect topological and dynamical invariants, such as topological entropy.