Mathematical Physics Courses and Certifications

ICTP Mathematics

Soliton Quantization and Random Partitions

Explore soliton quantization and random partitions in Benjamin Ono equations, focusing on one-phase solutions, simulations, and Hamiltonian structures in dispersive wave theory.

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

IMSA

On the Spectral Problem of a Three Term Difference Operator

Explore the spectral problem of quantum mechanical operators in complex Planck's constant scenarios, focusing on toric Calabi-Yau threefolds and their implications.

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

International Centre for Theoretical Sciences

Is the Universe Geometric or Algebraic? by Minhyong Kim

Explore the interplay between geometry and algebra in understanding the universe, from ancient concepts to modern physics, with insights on perception, reality, and mathematical foundations.

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

International Centre for Theoretical Sciences

The Computational Theory of Riemann-Hilbert Problems - Lecture 1

Explore computational approaches to Riemann-Hilbert problems, covering key concepts like Cauchy integrals and analytic functions. Gain insights into this fundamental topic in mathematical physics.

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

IMSA

Spinor-valued Higgs Bundles - Theory and Applications

Explore spinor-valued Higgs bundles with Nigel Hitchin, examining their unique properties and implications for Riemann surface geometry. Gain insights into Dirac equations and vector bundle theory.

• YouTube
• 1 hour 14 minutes
• On-Demand
• Free Video

IMSA

Mirror Symmetry and Big Algebras in the Hitchin System

Explore mirror symmetry, Hitchin systems, and algebraic structures in representation theory. Discover connections between equivariant cohomology, Kirillov algebras, and affine Schubert varieties.

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

IMSA

T-Duality with Fixed Points - A Differential Geometric Approach

Explore T-duality's mathematical history, successes, and challenges, focusing on a new differential geometric approach to log-geometry for handling fixed points in torus actions.

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

Fields Institute

S-duality for Boundary Conditions in Mathematics

Explore S-duality for boundary conditions from a mathematical perspective, delving into advanced concepts in geometry and physics.

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

Fields Institute

Lattice Recursions and Integrability in Hamiltonian Geometry

Explore lattice recursions and their connection to integrability in mathematics, featuring insights from Jacques Hurtubise of McGill University.

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

Fields Institute

A Quantum Central Limit Theorem and Related Topics

Explore quantum central limit theorem and related concepts in this advanced mathematics talk by Harvard's Arthur Jaffe, delving into cutting-edge research in quantum theory.

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

Fields Institute

Which Physical Systems Can Be Quantized?

Explore quantum mechanics applications in physical systems, focusing on Hamiltonian geometry and quantization techniques for various phenomena in mathematical physics.

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

Fields Institute

Tunneling in Magnetic Fields

Explore quantum tunneling phenomena in magnetic fields, examining their effects on particle behavior and potential applications in advanced physics and technology.

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

Cambridge University Press

Inhomogeneous Helmholtz Equations in Wave Guides - Existence and Uniqueness Results with Energy Methods

Analyse mathématique des équations de Helmholtz inhomogènes dans les guides d'ondes, démontrant l'existence et l'unicité des solutions par des méthodes énergétiques pour des coefficients périodiques.

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

Galileo Galilei Institute

Surjective Submersions, Bundle Gerbes, Group Cohomology and Applications - Part 3

Explore advanced mathematical concepts including surjective submersions, bundle gerbes, group cohomology, and their applications in this in-depth lecture by Peter Bouwknegt.

• YouTube
• 1 hour 22 minutes
• On-Demand
• Free Video

Galileo Galilei Institute

Surjective Submersions, Bundle Gerbes, Group Cohomology and Applications - Part 2

Explore advanced mathematical concepts including surjective submersions, bundle gerbes, and group cohomology, with insights into their applications in theoretical physics.

• YouTube
• 1 hour 32 minutes
• On-Demand
• Free Video