Birational Calabi-Yau's and Floer Cohomology

Explore the relationship between Gromov-Witten invariants of birational Calabi-Yau manifolds and orbifolds in this 59-minute lecture by Mark McLean from Stony Brook University. Delve into two partial results utilizing Hamiltonian Floer theoretic techniques: an alternative proof of the generalized McKay correspondence for isolated quotient singularities, and evidence that birational Calabi-Yau manifolds share the same small quantum products. Gain insights into potential future research directions in this complex area of mathematical study presented at the University of Miami.