YANG Courses and Certifications

Institut des Hautes Etudes Scientifiques (IHES)

Harnessing SL(2, Z) in Super Yang-Mills and Gravity

Explore new approaches to S-duality in N=4 super Yang-Mills theory using SL(2,Z) harmonic analysis, revealing constraints on observables and implications for holography.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video

Fields Institute

Yang-Baxter Elements and a New Proof of Homological Stability for the Mapping Class Group of Surfaces

Explores Yang-Baxter elements in monoidal categories, introducing a novel approach to prove homological stability for surface mapping class groups using semi-simplicial sets and bimarked surfaces.

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

Hausdorff Center for Mathematics

Martin Hairer - Stochastic Quantisation of Yang-Mills

Explores recent progress in constructing a stochastic process with Yang-Mills measure as its invariant measure, focusing on gauge-covariance preservation despite UV regularization breaking.

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

IMSA

Deformed Hermitian Yang-Mills Equation on Rational Homogeneous Varieties

Explore the deformed Hermitian Yang-Mills equation on rational homogeneous varieties, its solutions, and algebraic obstructions to supercritical solutions using central charges defined by analytic subvarieties.

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

Balancing Yin and Yang to Unleash the Power of Cinema

Explore how ancient Chinese principles of Yin and Yang can be applied in modern filmmaking to create socially conscious films and effect positive change in society.

• YouTube
• 18 minutes
• On-Demand
• Conference Talk

Kavli Institute for Theoretical Physics

The Yang-Baxter Equation and Long-Range Interactions

Explore the Yang-Baxter equation and long-range interactions in integrable models, bridging mathematical physics, condensed matter, and string theory. Gain insights from recent advances in this field.

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

QuantumTopology

Ph. Korablev - Yang-Baxter Operators and Invariants of Links

Explore Yang-Baxter operators and their applications in link invariants, delving into quantum topology concepts and mathematical techniques for analyzing knot structures.

• YouTube
• 1 hour 26 minutes
• On-Demand
• Free Video

QuantumTopology

Homology of Yang-Baxter Operators and Search for (Co)Cycle Invariants of Knots

Explore homology of Yang-Baxter operators and the quest for (co)cycle invariants in knot theory with mathematician Jozef Przytycki in this advanced topology lecture.

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

Kavli Institute for Theoretical Physics

1-Form Symmetries and the Phase Diagram of Yang Mills Theory - Davide Gaiotto

Explores 1-form symmetries and phase diagrams in Yang-Mills theory, discussing theta angles, lattice perspectives, and line defects to provide insights into color confinement and gauge theory dynamics.

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

Hausdorff Center for Mathematics

Martin Hairer: Stochastic Quantisation of Non-Abelian Yang-Mills

Explore stochastic quantisation of Yang-Mills theory, covering key concepts like canonical sections, connections, and covariant derivatives in non-Abelian gauge theories.

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

Balancing Yin and Yang in Open Source Software - Community and Company Perspectives

Strategies for companies to practice "Business Aligned Open Source" in Kubernetes, addressing sustainability challenges and fostering community-company balance in open-source development.

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

BIMSA

Nahm Transform: Old and New - From Yang-Mills Instantons to ALF Gravitational Instantons

Explore the Nahm transform's origins and recent extensions to ALF gravitational instantons, enhancing understanding of Yang-Mills instanton moduli spaces.

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

BIMSA

Hermitian Yang-Mills Connections on Log Terminal Kahler Spaces

Explore Hermitian Yang-Mills theory on mildly singular spaces, focusing on recent results for sheaves and log terminal Kähler spaces.

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

Centre de recherches mathématiques - CRM

Quantum Spin Calogero-Moser Systems and the 2D Yang-Mills Theory

Explore quantum spin Calogero-Moser systems and their connection to 2D Yang-Mills theory in this advanced mathematical physics lecture by Nicolai Reshetikhin.

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

Centre de recherches mathématiques - CRM

The Loop Hecke Algebra and Charge Conserving Yang-Baxter Operators

Explore Loop Braid Group, Loop Hecke Algebras, and charge conserving Yang-Baxter operators. Gain insights into recent mathematical developments in quantum symmetries and topological quantum field theories.

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