The Picard Lefschetz Theory of Complexified Morse Functions

GEOMETRY/DYNAMICAL SYSTEMS SEMINAR
Topic:The Picard Lefschetz Theory of Complexified Morse Functions
Speaker:Joseph Johns
Affiliation:Columbia University
Date:Tuesday, April 13
Time/Room:4:00pm - 5:00pm/S-101

We will explain how to construct a symplectic Lefschetz fibration with explicit regular fiber and vanishing spheres which models a complexified Morse function on a cotangent bundle. We will sketch at the end how this leads to a definition of generalized matching paths and other applications to the study of Lagrangians in cotangent bundles.