Mathematical Physics Courses and Certifications

NCCR SwissMAP

Knizhnik-Zamolodchikov from Quantum Isomonodromy

Explore quantum isomonodromy and its connection to Knizhnik-Zamolodchikov equations in moduli space quantization.

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

NCCR SwissMAP

From the A2 Quiver Towards the Painlevé I T Function

Explore quantisation of moduli spaces through the A2 quiver and Painlevé I T function, gaining insights into advanced mathematical concepts.

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

NCCR SwissMAP

Combinatorial Quantization and BV Structures of Moduli of Flat Connections - Part 2

Explore quantisation of moduli spaces through combinatorial methods and BV structures, focusing on flat connections in mathematical physics.

• YouTube
• 1 hour 9 minutes
• On-Demand
• Free Video

NCCR SwissMAP

Heun Connection Matrix from Liouville Conormal Blocks and Darboux Theorem

Explore the Heun connection matrix, Liouville conormal blocks, and Darboux theorem in the context of quantizing moduli spaces.

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

NCCR SwissMAP

Combinatorial Quantization and BV Structures of Moduli of Flat Connections - Part 1

Explore quantization of moduli spaces through combinatorial methods and BV structures, focusing on flat connections in mathematical physics.

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

NCCR SwissMAP

Quantum Analytic Langlands - Quantisation of Moduli Spaces

Explore quantisation of moduli spaces through diverse perspectives, delving into the intricacies of Quantum Analytic Langlands theory.

• YouTube
• 2 hours 26 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Ergodic Results for the Stochastic Nonlinear Schrödinger Equation with Large Damping

Explore ergodic results for stochastic nonlinear Schrödinger equations with large damping, focusing on uniqueness of invariant measures in Rd (d≤3).

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Stochastic Partial Differential Equations and Regularity Structures - Award Lecture

Explore groundbreaking work on stochastic partial differential equations, revolutionizing mathematical modeling of random physical systems with the theory of regularity structures.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Convergence of the Ising-Kac Model to Φ4 in Three Dimensions

Explore the convergence of the Ising-Kac model to $\Phi^4$ in 3D, analyzing Glauber dynamics and applying regularity structure theory to discrete particle systems.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Approximation of Dirac Operators with Delta-Shell Potentials

Explore approximation of 2D Dirac operators with δ-shell potentials using squeezed potentials. Analyze convergence in norm resolvent sense for specific interaction strengths.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Spectral Properties of Soft Quantum Waveguides

Explore spectral properties of soft quantum waveguides, focusing on Schrödinger operators with attractive potentials along curved channels. Analyze discrete spectrum conditions and ground state optimization.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Uniform Temporal Functions in Non-regular Spacetime Geometry

Explore uniform temporal functions, their properties, and differences from Cauchy time functions in non-regular spacetime geometry.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Constructing Distance Realizers via Midpoints in Lorentzian Mid-Length Space

Explore Lorentzian pre-length spaces, null distance, and midpoint properties to construct distance realizers between timelike related points in non-regular spacetime geometry.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Hadamard States for Maxwell Fields via Complete Gauge Fixing

Explore Hadamard states for Maxwell fields through complete gauge fixing, delving into spectral theory and mathematical relativity concepts.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

The Relative Trace Formula in Electromagnetic Scattering

Explore electromagnetic scattering through a relative trace formula, examining perfectly conducting obstacles' impact on fields and the challenges posed by Maxwell's equations.

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