Floer Cohomology and Birational Geometry

Explore the application of Floer cohomology to birational geometry in this 46-minute lecture by Mark Mclean for the International Mathematical Union. Learn how to prove part of the cohomological McKay correspondence through Floer cohomology group calculations and discover the use of Hamiltonian Floer cohomology in demonstrating that birational Calabi-Yau manifolds share identical small quantum cohomology algebras. Delve into topics such as the definition of Floer cohomology, the cohomological McKay correspondence, Floer theoretic proofs, birational Calabi-Yau manifolds, and quantum cup product. Access accompanying presentation slides for a comprehensive understanding of these advanced mathematical concepts.

Intro
What is Floer Cohomology?
Cohomological McKay Correspondence.
Floer Theoretic Proof
Brief Idea of Proof
Birational Calabi-Yau Manifolds
Quantum Cup Product
Basic Idea of the Proof