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Fourier Analysis of Equivariant Quantum Cohomology - Part I

IMSA via YouTube

Overview

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.

Syllabus

Hiroshi Iritani, Kyoto University: Fourier analysis of equivariant quantum cohomology I

Taught by

IMSA

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