Mean Action of Periodic Orbits of Area-Preserving Annulus Diffeomorphisms - Morgan Weiler

Explore the intricacies of area-preserving annulus diffeomorphisms in this 57-minute seminar presented by Morgan Weiler from the University of California, Berkeley. Delve into the concept of mean action of periodic orbits, beginning with an introduction to area-preserving diffeomorphisms and the action function. Examine the average of the action function and its Colombian variant, while considering side cases and assumptions. Analyze relevant examples and gain insights into Hutchings theorem. Investigate the relationship between return time and flower homology, providing a comprehensive overview of this complex topic in symplectic dynamics and geometry.

Introduction
Areapreserving diffeomorphism
Action function
Average of action function
Colombian variant
Side case
Assumption
Examples
Hutchings theorem
Return time
Flower homology