Gauge Theory Courses and Certifications

Richard Behiel

Electromagnetism and Gauge Theory - From Local Phase Symmetry to Maxwell's Equations

Delve into the mathematical foundations of electromagnetism through gauge theory, exploring how local phase symmetry gives rise to electromagnetic forces and Maxwell's equations.

• YouTube
• 3 hours 12 minutes
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• Free Video

Institute for Advanced Study

Gauge Theory and the Analytic Approach to Geometric Langlands - Edward Witten

Explore gauge theory's role in geometric Langlands correspondence, comparing categorical and analytic approaches through quantum states, operators, and gauge theory interpretations.

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

Institut des Hautes Etudes Scientifiques (IHES)

Generalized Symmetries and Phases of Gauge Theory - Lecture 1

Explore higher-form and higher-group symmetries in gauge theory phases, focusing on 3+1 dimensions and related concepts like anomalies and SPTs.

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

Richard Behiel

The Strong Nuclear Force as a Gauge Theory - Part 3: The Gluon Fields

Dive into gauge field derivation for local SU(3) symmetry, exploring how gluon fields emerge from the Lie algebra and interact within quantum chromodynamics theory.

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

IMSA

Gauge Theory and Low Dimensional Topology - Conference Lecture

Explore gauge theory and low-dimensional topology with expert insights from Paul Feehan in this engaging 48-minute conference talk at the University of Miami.

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

IMSA

Gauge Theory and Low Dimensional Topology

Explore gauge theory and low-dimensional topology with insights from MIT expert Tom Mrowka in this conference talk at the University of Miami.

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

Institut des Hautes Etudes Scientifiques (IHES)

Generalized Symmetries and Phases of Gauge Theory - Lecture 4

Explore higher-form and higher-group symmetries in gauge theory phases, focusing on 3+1 dimensions. Gain insights into anomalies and SPTs through expert lectures.

• YouTube
• 1 hour 37 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Generalized Symmetries and Phases of Gauge Theory - Lecture 3

Explore higher-form and higher-group symmetries in gauge theory phases, focusing on 3+1 dimensions. Gain insights into anomalies and SPTs through expert lectures.

• YouTube
• 1 hour 33 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Generalized Symmetries and Phases of Gauge Theory - Lecture 2

Explore higher-form and higher-group symmetries in gauge theory phases, focusing on 3+1 dimensions. Gain insights into anomalies and SPTs through expert analysis.

• YouTube
• 1 hour 31 minutes
• On-Demand
• Free Video

Galileo Galilei Institute

N=2 Gauge Theory, DT Invariants and Exact WKB - Lecture 3

Explore connections between N=2 gauge theory, Donaldson-Thomas invariants, and exact WKB analysis in this advanced theoretical physics lecture.

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

Galileo Galilei Institute

N=2 Gauge Theory, DT Invariants and Exact WKB - Lecture 2

Explore connections between N=2 gauge theory, Donaldson-Thomas invariants, and exact WKB analysis in this advanced physics lecture by Lotte Hollands.

• YouTube
• 1 hour 31 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Corolla Polynomial, Associahedron and Gauge Theory S-Matrix

Explores connections between corolla polynomials, associahedra, and gauge theory S-matrices in theoretical physics, advancing understanding of quantum field theory and scattering amplitudes.

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

Institut des Hautes Etudes Scientifiques (IHES)

Constructing Critical Gauge Theories on the Fuzzy Sphere - Non-Linear σ-Model and Conformal Field Theory Applications

Explore advanced gauge theory construction on fuzzy spheres through non-linear σ-models with WZW terms, focusing on Sp(N)-symmetric CFTs and Chern-Simons theories with numerical evidence.

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