NCCR SwissMAP Courses

Categorified Traces and Colored SL_2 Knot Homology

Explore categorified traces and colored SL_2 knot homology in quantum topology, focusing on representation theory applications.

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

Bordered-Sutured Floer Homology as a Sutured TQFT

Explore advanced quantum topology concepts through bordered-sutured Floer homology and its applications as a sutured TQFT in this in-depth lecture by J. Rasmussen.

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

Heisenberg Homologies of Configurations in Ribbon Graphs

Explore Heisenberg homologies in ribbon graffs configurations, focusing on quantum topology and representation theory.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

From Representation Theory to Topology: There and Back Again

Explorez les liens fascinants entre la théorie des représentations et la topologie quantique dans cette conférence approfondie.

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

Non-semisimple Link and Manifold Invariants

Explore non-semisimple link and manifold invariants in quantum topology, focusing on representation theory with A. Gainutdinov from CNRS, Université de Tours.

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

Probabilistic Approach to Liouville Theory

Explore probabilistic approaches to Liouville theory in conformal field theory, focusing on integrable, probabilistic, and supersymmetric methods.

• YouTube
• 1 hour 54 minutes
• On-Demand
• Free Video

On the Interplay of Random Curves with Conformal Field Theory

Explore the intersection of random curves and conformal field theory through integrable, probabilistic, and supersymmetric approaches.

• YouTube
• 2 hours 5 minutes
• On-Demand
• Free Video

From Liouville to Painlevé and Heun via CFT/Isomonodromy Relation

Explore conformal field theory through integrable, probabilistic, and supersymmetric perspectives, connecting Liouville theory to Painlevé and Heun equations.

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

AGT: 2D Conformal Field Theory Valued in 4D Gauge Theories - Lecture

Explore conformal field theory through integrable, probabilistic, and supersymmetric approaches in 4D gauge theories, gaining insights into advanced theoretical physics concepts.

• YouTube
• 2 hours 5 minutes
• On-Demand
• Free Video

Introduction to Liouville Theory - Lecture 1

Explore conformal field theory through integrable, probabilistic, and supersymmetric approaches in Liouville Theory.

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

Aha and Eha in Quantum Topology Representation Theory

Explore representation theory in quantum topology with A. Negut from MIT, delving into Aha and Eha concepts during this insightful lecture.

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

Soergel Bimodules, Matrix Factorizations and Hilbert Schemes

Explore Soergel bimodules, matrix factorizations, and Hilbert schemes in quantum topology, focusing on representation theory applications.

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

The Mathematics of TQFTs and Defects

Explore advanced mathematical concepts in topological quantum field theories and defects with Berkeley University's expert.

• YouTube
• 5 hours 17 minutes
• On-Demand
• Free Video

Representation Theory for Categorical Symmetries in Quantum Field Theory

Explore representation theory for categorical symmetries in quantum field theory, focusing on advanced mathematical concepts and their applications.

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

Non-Supersymmetric Heterotic Branes, Bordisms, and 2D SCFTs

Explore non-supersymmetric heterotic branes, bordisms, and 2D SCFTs with K. Ohmori from the University of Tokyo in this advanced physics lecture.

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