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.
Overview
Syllabus
Daniel Pomerleano | The Quantum GIT conjecture
Taught by
Harvard CMSA