The Goresky-Hingston product on the cohomology of free loop spaces is the algebraic structure that detects geodesics with maximal index growth. It is defined topologically as a secondary operation, and I will explain how to interpret it as a primary operation in Floer homology. This algebraic fact is a consequence of the interplay between convexity and concavity regions of suitable Hamiltonians. Based on this, I will discuss the duality between symplectically degenerate maxima and symplectically degenerate minima for Reeb flows.
Freitag, den 13. Juli 2018 um 10:00-11:00 Uhr, in Mathematikon, INF 205, Konferenzraum, 5. Stock Freitag, den 13. Juli 2018 at 10:00-11:00, in Mathematikon, INF 205, Konferenzraum, 5. Stock
Der Vortrag folgt der Einladung von The lecture takes place at invitation by Prof. P. Albers