Yang Mills Theory Courses and Certifications

Particle Physics and the Standard Model

Delve into fundamental particle physics, exploring quantum mechanics, special relativity, and the Standard Model through theoretical principles and experimental observations at the most basic level of nature.

• Swayam
• 12 weeks
• Self-Paced
• Free Online Course

Institute for Advanced Study

Combinatorics of Fundamental Physics Workshop

Explore advanced mathematical structures connecting combinatorics with fundamental physics through expert lectures on amplitudes, correlators, and geometric frameworks.

• YouTube
• 18 hours 20 minutes
• Self-Paced
• Free Video

IAS | PCMI Park City Mathematics Institute

Advanced Topics in Mathematical Gauge Theory - Higgs Bundles

Delve into advanced mathematical gauge theory and Higgs bundles through expert lectures covering sophisticated theoretical frameworks and their geometric applications.

• YouTube
• 4 hours 11 minutes
• Self-Paced
• Free Video

IAS | PCMI Park City Mathematics Institute

Introduction to Gauge Theory

Dive into gauge theory fundamentals through comprehensive mathematical lectures covering connections, curvature, and applications in modern geometry and physics.

• YouTube
• 4 hours 46 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Two Applications of the Bootstrap in QCD - Lecture 1

Explore bootstrap applications in QCD, focusing on positivity, loop equations, and lattice gauge theory. Gain insights into large-N limit, positivity constraints, and gradient flow in this advanced theoretical physics lecture.

• YouTube
• 1 hour 22 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Yang-Mills for Mathematicians by Sourav Chatterjee

Exploration of Yang-Mills theories, lattice gauge theories, quark confinement, mass gap, and gauge-string duality as probabilistic problems in quantum field theory construction.

• YouTube
• 1 hour 7 minutes
• Self-Paced
• Free Video

Joint Mathematics Meetings

Smooth Invariants of Four-dimensional Manifolds and Quantum Field Theory

Explore the intersection of smooth 4D manifold invariants and quantum field theory, focusing on Yang-Mills theory, instantons, and topological invariants in this advanced mathematics lecture.

• YouTube
• 48 minutes
• Self-Paced
• Conference Talk

Harvard CMSA

Surface Kinematics and the All-Loop Integrand for Gluon Amplitudes

Dive into advanced theoretical physics as Nima Arkani-Hamed explores surface kinematics and gluon amplitude integrands, examining cutting-edge developments in quantum field theory and particle physics.

• YouTube
• 1 hour 25 minutes
• Self-Paced
• Free Video

Harvard CMSA

All-Loop Scattering as a Counting Problem

Delve into advanced theoretical physics as Nima Arkani-Hamed explores a revolutionary approach to understanding scattering amplitudes through combinatorial concepts and kinematic space analysis.

• YouTube
• 1 hour 17 minutes
• Self-Paced
• Free Video

ICTP-SAIFR

Program on Anomalies, Topology and Quantum Information in Field Theory and Condensed Matter Physics

Explore advanced quantum field theory concepts including non-invertible symmetries, topological phases, entanglement entropy, and quantum information applications in condensed matter systems.

• YouTube
• 1 day 15 hours 48 minutes
• Self-Paced
• Free Video

Harvard CMSA

Amplituhedra, Cluster Algebras, and Positive Geometry

Explore cutting-edge connections between amplituhedra, cluster algebras, and positive geometry in quantum field theory through expert lectures and collaborative discussions.

• YouTube
• 16 hours 51 minutes
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• Free Video

Instituto de Matemática Pura e Aplicada

Special Holonomy and Geometric Structures on Complex Manifolds

Explore stability of critical points in self dual abelian YMH energy on Kähler manifolds. Delve into special geometric structures, complex geometry, and their connections to physics and symplectic geometry.

• YouTube
• 55 minutes
• Self-Paced
• Free Video

BIMSA

Gravity as a Double Copy of Gauge Theory

Explore the gravitational double copy framework, connecting gravity to Yang-Mills theory and enabling advanced quantum computations and classical general relativity studies.

• YouTube
• 49 minutes
• Self-Paced
• Free Video