Quantum Cohomology Courses and Certifications

BIMSA

Quantization Commutes with Reduction: The Quantum GIT Conjecture - ICBS 2024

Explore the latest results in quantum reduction, comparing gauged and symplectic-reduced 2D A-models. Delve into quantum cohomologies in monotone cases and intriguing conjectures.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video

Harvard CMSA

The Quantum GIT Conjecture in Fano Varieties and G-Actions

Delve into advanced mathematical concepts exploring the Quantum GIT conjecture, focusing on Fano varieties, equivariant quantum cohomology, and Hamiltonian G-manifolds in algebraic geometry.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video

IMSA

The Quantum Connection and Its Mod p Reductions

Delve into advanced mathematical concepts exploring quantum connections on Fano manifolds, focusing on Steenrod-type quantum operations and recent structural developments.

• YouTube
• 57 minutes
• On-Demand
• Free Video

M-Seminar, Kansas State University

Frobenius Structures for Quantum Differential and Q-Difference Equations - Lecture 1

Explore Frobenius structures connecting Kloosterman sums to quantum differential equations in Nakajima varieties, with applications to mirror symmetry and p-adic theory.

• YouTube
• 1 hour 13 minutes
• On-Demand
• Free Video

Institute for Advanced Study

Equivariant Rigidity of Richardson Varieties

Delve into the equivariant rigidity and convexity of Schubert and Richardson varieties in flag manifolds, exploring applications to quantum cohomology and K-theory with Anders Buch.

• YouTube
• 1 hour 18 minutes
• On-Demand
• Free Video

M-Seminar, Kansas State University

Frobenius Structures for Quantum Differential and Q-Difference Equations - Lecture 3

Explore Frobenius structures connecting Kloosterman sums to quantum differential equations in Nakajima varieties, with applications to mirror symmetry and p-adic theory.

• YouTube
• 1 hour 21 minutes
• On-Demand
• Free Video

M-Seminar, Kansas State University

Frobenius Structures for Quantum Differential and Q-Difference Equations - Lecture 2

Explore Frobenius structures connecting Kloosterman sums to quantum differential equations in Nakajima varieties, with applications to mirror symmetry and p-adic theory.

• YouTube
• 1 hour
• On-Demand
• Free Video

International Mathematical Union

Hiroshi Iritani: On Decompositions of Quantum Cohomology D-Modules

Explore quantum cohomology D-modules and their decompositions with mathematician Hiroshi Iritani in this advanced mathematical lecture on complex algebraic geometry and topology.

• YouTube
• 44 minutes
• On-Demand
• Free Video

IMSA

Eduardo Gonzalez- Quantum Cohomology, Seidel Elements, Shift Operators & Coulomb Branches

Explore advanced mathematical concepts in quantum cohomology, Seidel elements, and Coulomb branches. Discover the interplay between equivariant cohomology and symplectic homology in Lie group manifolds.

• YouTube
• 44 minutes
• On-Demand
• Free Video

IMSA

Blow Up Formulae and Invariants I - Blow-Up Formula for Quantum Cohomology

Exploration of Gromov-Witten invariants in blown up complex algebraic varieties, proposing a formula and proof approach via equivariant localization. Insights into quantum cohomology and algebraic geometry.

• YouTube
• 43 minutes
• On-Demand
• Free Video

IMSA

Fourier Analysis of Equivariant Quantum Cohomology - Lecture 3

Explore Fourier analysis of equivariant quantum cohomology, focusing on D-module versions, Teleman's conjecture, and applications to projective bundles and blowups.

• YouTube
• 58 minutes
• On-Demand
• Free Video

IMSA

Fourier Analysis of Equivariant Quantum Cohomology II - 1-27-2024

Explore advanced concepts in Fourier analysis and equivariant quantum cohomology, building on previous research in homological mirror symmetry and mathematical physics.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

IMSA

Fourier Analysis of Equivariant Quantum Cohomology - Part I

Explore Teleman's conjecture, equivariant quantum cohomology, and Fourier spectral analysis in symplectic geometry. Gain insights into D-module decomposition for projective bundles and blowups.

• YouTube
• 1 hour
• On-Demand
• Free Video

Institute for Advanced Study

Probing Moduli Space Cohomology Using Quantum Field Theory

Delve into advanced quantum field theory applications for analyzing moduli space cohomology, exploring mathematical connections between combinatorics and fundamental physics principles.

• YouTube
• 1 hour 16 minutes
• On-Demand
• Free Video

ICTP Mathematics

More Deformations of the Cohomology Ring of the Moduli Space of Representations

Explore deformations of cohomology rings in representation spaces of Riemann surfaces, examining algebraic, geometric, and physical perspectives on this rich mathematical topic.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video