On the Algebraic Structure of Groups of Area-Preserving Homeomorphisms - Lecture 3

Explore the third lecture in a series on the algebraic structure of groups of area-preserving homeomorphisms, delivered by Sobhan Seyfaddini from Sorbonne Université as part of the Simons Semester on Dynamics. Delve into recent developments addressing Albert Fathi's influential question from the 1970s regarding the simplicity of the group of compactly supported area-preserving homeomorphisms of the 2-disc. Examine the solution to Fathi's more general inquiry about the simplicity of "Hamiltonian homeomorphisms" on all compact surfaces. Investigate the role of link spectral invariants in resolving these long-standing questions. Learn about the construction of these invariants through Lagrangian Floer homology and associated spectral invariants. Gain insights into the complex algebraic structures of area-preserving maps and their implications for the field of dynamics.