NCCR SwissMAP Courses

E∞-Algebras of General Linear Groups II

Explore advanced E∞-algebra structures in general linear groups through sophisticated mathematical frameworks and their topological applications.

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

E∞-Algebras of General Linear Groups I

Explore E∞-algebra structures on general linear groups through advanced algebraic topology and their connections to polylogarithms and Steinberg modules.

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

Depth Reductions of Multiple Polylogarithms

Explore advanced mathematical techniques for reducing the depth of multiple polylogarithms in this specialized research presentation from MPIM Bonn.

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

Adventures in Configuration Space - The CEGM NLSM

Explore the CEGM nonlinear sigma model through configuration space analysis in this advanced mathematical physics presentation.

• YouTube
• 1 hour 14 minutes
• Self-Paced
• Free Video

Integrability in Condensed Matter Physics and Quantum Field Theory

Explore advanced mathematical techniques in integrable systems, from spin chains to quantum field theory, through expert lectures on Bethe ansatz, conformal bootstrap, and modern applications.

• YouTube
• 1 day 7 hours 12 minutes
• Self-Paced
• Free Video

Introduction to Topological Field Theory - Master Class in Mathematical Physics 2019-2020

Explore the mathematical foundations and applications of topological field theory in this comprehensive 12-hour master class from NCCR SwissMAP.

• YouTube
• 12 hours 1 minute
• Self-Paced
• Free Video

Quantum Mechanics for Mathematicians - Master Class in Mathematical Physics 2019-2020

Master quantum mechanics through rigorous mathematical foundations and advanced theoretical frameworks in this comprehensive 20-hour physics masterclass.

• YouTube
• 19 hours 53 minutes
• Self-Paced
• Free Video

Random Growth Loewner Evolution - Master Class in Mathematical Physics 2019-2020

Dive into Random Growth Loewner Evolution through advanced mathematical physics concepts and stochastic processes in this intensive master class session.

• YouTube
• 1 day 26 minutes
• Self-Paced
• Free Video

Introduction to Statistical Mechanics 1 - Mathematical Physics 2019-2020

Master the fundamental principles of statistical mechanics through rigorous mathematical frameworks and thermodynamic systems analysis.

• YouTube
• 21 hours 50 minutes
• Self-Paced
• Free Video

Random Matrices and Universality 1 - Master Class in Mathematical Physics 2019-2020

Dive into advanced mathematical physics through comprehensive study of random matrix theory and universality principles in this intensive 21-hour master class series.

• YouTube
• 21 hours 1 minute
• Self-Paced
• Free Video

Master Class in Geometry, Topology and Physics

Explore advanced mathematical physics through algebraic geometry, symplectic geometry, quantum topology, field theory, and Poisson geometry in this intensive master class series.

• YouTube
• 1 week 20 hours 28 minutes
• Self-Paced
• Free Video

Master Class in Planar Statistical Physics

Master advanced statistical physics through Brownian motion, stochastic calculus, lattice models, Markov processes, conformal invariance, and random planar maps.

• YouTube
• 5 days 19 hours 16 minutes
• Self-Paced
• Free Video

Cluster Promotion Maps, Amplitudes, and Amplituhedra

Explore cluster promotion maps and their connections to scattering amplitudes and amplituhedra geometry in this advanced mathematical physics lecture.

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

Topological Recursion and Irregular Conformal Block via Painlevé and WKB

Explore advanced mathematical connections between topological recursion, irregular conformal blocks, and Painlevé equations using WKB analysis techniques.

• YouTube
• 1 hour 4 minutes
• Self-Paced
• Free Video

Fool's Crowns and Schwarzians

Explore advanced mathematical connections between topological recursion, conformal field theory, and random geometry through Schwarzian derivatives and fool's crowns.

• YouTube
• 1 hour 8 minutes
• Self-Paced
• Free Video