Geometric Quantization Courses and Certifications

NCCR SwissMAP

Geometric Quantization with Applications to Moduli Spaces

Explore geometric quantization and its applications to moduli spaces, delving into advanced mathematical concepts and theories.

• YouTube
• 2 hours 14 minutes
• On-Demand
• Free Video

Harvard CMSA

Quantization of Kähler Manifolds

Explore advanced mathematical concepts in geometric quantization and its relationships with deformation, Berezin-Toeplitz, and brane quantization in Kahler manifolds.

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

Fields Institute

Cohomology and Geometric Quantization of Toric Manifolds

Explore cohomology and geometric quantization in toric manifolds with expert Lisa Jeffrey, delving into advanced mathematical concepts and their applications in toric topology.

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

Institut des Hautes Etudes Scientifiques (IHES)

Geometric Quantization of General Kahler Manifolds

Explore geometric quantization on Kähler phase spaces, examining function quantization, Hilbert space structure, and Kähler structure dependence. Investigate curvature's impact on quantization.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video

IMSA

Geometric Quantization of General Kähler Manifolds

Explore geometric quantization on Kähler manifolds, examining compatible constructions of function quantization, Hilbert space structure, and Kähler structure dependence in symplectic manifolds.

• YouTube
• 1 hour 10 minutes
• On-Demand
• Free Video

Conference GSI

Coherent States and Entropy in Geometric Quantization

Explore coherent states and entropy in geometric quantization, examining entanglement entropy bounds on Kähler manifolds.

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

International Centre for Theoretical Sciences

Quantization, Gauge Theory, and the Analytic Approach to Geometric by Edward Witten

Explore quantization, gauge theory, and geometric analysis with renowned physicist Edward Witten in this advanced lecture on the intersection of quantum field theory and geometric representation theory.

• YouTube
• 1 hour 19 minutes
• On-Demand
• Free Video

Fields Institute

Super Quantization

Explore supergeometry, representations of supergroups, and super quantization in this advanced mathematics lecture on super Harish-Chandra pairs and unitary representations.

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

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

Fields Institute

Symplectic Geometry and Quantization - Blitz Session

Explore advanced topics in symplectic geometry and quantization through four concise talks on stratified quantization, complex Lagrangian Grassmannians, integral Chang-Skjelbred computations, and symplectic circle actions.

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

Dublin Institute for Advanced Studies DIAS

From Classical to Quantum Fields on Causal Sets

Explore algebraic classical and quantum field theory on causal sets, focusing on quantisation approaches and the Sorkin-Johnston state for free scalar fields, with potential applications to interacting fields.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Geometric Prequantisation of Two-Pectic Manifolds

Delve into advanced mathematical concepts of geometric prequantisation, exploring integral closed 3-forms, principal PU(H)-bundles, and Lie groupoid structures in manifold theory.

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

BIMSA

Quantization of Kähler Manifolds

Explore advanced mathematical concepts in Kahler manifold quantization through expert analysis and theoretical frameworks in this specialized geometry lecture.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

Conference GSI

Souriau's Geometric Principles for Quantum Mechanics

Explore geometric principles bridging classical and quantum mechanics, examining symmetries, Planck's constant, and prequantization to determine quantum states through inequalities.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Loop Group Hamiltonian Actions: Theory and Applications - A Review

Explore loop group Hamiltonian actions, from moduli of flat connections to reduction theorems and Duistermaat-Heckman localization, with applications in infinite-dimensional geometry and quantization theory.

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