Fourier Analysis of Equivariant Quantum Cohomology - Part I

Fourier Analysis of Equivariant Quantum Cohomology - Part I

Explore the intricate world of equivariant quantum cohomology in this one-hour lecture delivered by Hiroshi Iritani from Kyoto University at the University of Miami. Delve into a D-module version of Teleman's conjecture, which connects the equivariant quantum cohomology of a Hamiltonian T-space X with the quantum cohomology of a symplectic reduction X//T. Gain insights into the "global Kaehler moduli space" picture emerging from this conjecture and discover how a formal decomposition of quantum cohomology D-modules for projective bundles or blowups can be derived through Fourier spectral analysis. This advanced mathematical discourse offers a deep dive into the fascinating realm of algebraic geometry and quantum cohomology.