NCCR SwissMAP Courses

Equivariant Derived Category of a Reductive Group as a Categorical Center

Explore equivariant derived categories of reductive groups and their role as categorical centers in representation theory.

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

The Center of the Small Quantum Group and Affine Springer Fibers

Explore representation theory through quantum groups and affine Springer fibers, focusing on the center of small quantum groups.

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

Various Incarnations of the Affine Hecke Category

Explorez les différentes incarnations de la catégorie de Hecke affine dans le cadre de la théorie des représentations quantiques.

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

Spark Algebras and Quantum Groups

Explore representation theory through spark algebras and quantum groups, focusing on quantum topology concepts.

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

Quantum Category O vs Affine Hecke Category - Lecture 1

Explore quantum category O and affine Hecke category in representation theory with Yale University's I. Losev at the Quantum Topobology Biennial.

• YouTube
• 1 hour 10 minutes
• On-Demand
• Free Video

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