Gauge Theory Courses and Certifications

Superstring Theory: The DNA of Reality

155 ratings at The Great Courses Plus

Explore the cutting-edge world of string theory with Dr. Gates, delving into quantum physics, extra dimensions, and the fundamental forces of the universe through engaging visual aids and accessible explanations.

• The Great Courses Plus
• 12 hours 11 minutes
• On-Demand
• Free Trial Available

Institute for Advanced Study

Scattering Amplitudes in Gauge Theory as Chiral Algebra Correlators - Kevin Costello

Explore gauge theory scattering amplitudes as chiral algebra correlators, connecting to celestial holography and deriving expressions for form factors using innovative mathematical approaches.

• YouTube
• 1 hour 23 minutes
• On-Demand
• Free Video

The Royal Institution

Origins of the Laws of Nature - Peter Atkins

Explore the origins of fundamental laws of nature, from thermodynamics to quantum mechanics. Peter Atkins argues that the universe's complexity arose from very little, challenging our understanding of reality's foundations.

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

International Centre for Theoretical Sciences

Cosmological Perturbation Theory - Lecture 2

Explore advanced concepts in cosmological perturbation theory, including metric perturbations, gravitational waves, and gauge transformations. Gain insights into various gauge choices and their implications for understanding the early universe.

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

International Centre for Theoretical Sciences

Quantum Phases of Matter - Non-perturbative Luttinger Relations

Explore non-perturbative Luttinger relations in quantum matter, focusing on Anderson and Kondo lattice models, with insights from Subir Sachdev on advanced theoretical concepts.

• YouTube
• 1 hour 39 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Branes and Quivers in String Theory - Lecture 1

Explore connections between string theory, branes, and quivers. Learn about spatial dimensions, brain setups, Coulomb branches, and moduli spaces in this advanced theoretical physics lecture.

• YouTube
• 1 hour 17 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Variational Wavefunctions, Machine Learning Architecture for Fermions and Gauge Theories

Explore machine learning architectures for variational wavefunctions in fermion and gauge theory systems, focusing on preserving symmetries and achieving accurate results in quantum mechanics.

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

Institute for Pure & Applied Mathematics (IPAM)

Quantum Field Theory of Exotic Systems - IPAM at UCLA

Explore quantum field theory of exotic systems, focusing on fracton phases and their challenges to conventional understanding. Delve into subsystem symmetries, tensor gauge theories, and peculiar UV/IR mixing phenomena.

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

IMSA

Higgs Bundles on Elliptic Surfaces and Logarithmic Transformations

Explore Higgs bundles on elliptic surfaces and their transformations, examining vector bundles' importance in mathematics and the impact of logarithmic transformations on these structures.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

ICTP Mathematics

Invariants of Manifolds from 6 Dimensions

Explore advanced mathematical concepts in gauge theories and differential invariants, focusing on invariants of manifolds from 6 dimensions and their applications in theoretical physics.

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

IMSA

Subtly Knotted Surfaces Separated by Many Internal Stabilizations

Exploration of smoothly knotted surfaces in 4-manifolds, focusing on isotopy, internal stabilizations, and diffeomorphisms. Discusses infinite collections of surfaces with unique properties and infinite stabilization diameter.

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

IMSA

Homology Cobordism and the Geometry of Hyperbolic Three-Manifolds

Explore the interaction between hyperbolic geometry and homology cobordism using monopole Floer homology, focusing on subgroups generated by hyperbolic homology spheres.

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

IMSA

Ribbon Concordances and Slice Obstructions: Experiments and Examples

Explore ribbon concordances between knots, computational methods, and results in low-dimensional topology. Joint work with Nathan Dunfield on slice obstructions and experimental approaches.

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

IMSA

Instantons, Suspension, and Surgery

Explore advanced concepts in gauge theory, including instantons, suspension, and surgery techniques for manifolds with boundary components and their applications in cobordism maps.

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

IMSA

Instantons, Suspension, and Surgery - Part 1

Explore Dehn surgery number in 3-manifolds, using mod 2 instanton homology and Froyshov's q_3 invariant to prove existence of integer homology 3-spheres with arbitrarily large surgery numbers.

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