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The Quantum GIT Conjecture in Fano Varieties and G-Actions

Harvard CMSA via YouTube

Overview

Explore a mathematical physics seminar where Daniel Pomerleano from UMass Boston delves into the Quantum GIT conjecture for Fano varieties with G action. Learn about the predicted formula for quantum cohomology of "anti-canonical" GIT quotients X//G and its relationship to equivariant quantum cohomology of X. Discover how this formula, inspired by 3-dimensional gauge theory concepts, particularly Coulomb branches, extends Batyrev's formula for quantum cohomology of toric Fano varieties. Gain insights into ongoing research with C. Teleman proving this conjecture, while examining integral versions of classical theories in Hamiltonian G-manifolds.

Syllabus

Daniel Pomerleano | The Quantum GIT conjecture

Taught by

Harvard CMSA

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