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.
Spark Algebras and Quantum Groups
Explore representation theory through spark algebras and quantum groups, focusing on quantum topology concepts.
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.
Heisenberg Homologies of Configurations in Ribbon Graphs
Explore Heisenberg homologies in ribbon graffs configurations, focusing on quantum topology and representation theory.
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.
Low Dimensional Topology and Circle-valued Morse Functions
Explore Khovanov homology of torus braids, characterizing simplified complexes and their applications in quantum topology. Gain insights into recent advancements and conjectures in low-dimensional topology.
3D Quantum Trace Map: Construction and Applications in Ideally Triangulated 3-Manifolds
Explore the construction of the 3d quantum trace map, linking Kauffman bracket skein modules to quantum gluing modules in ideally triangulated 3-manifolds.
Spectrum of Entanglement as a Dimensional Reduction Tool for Studying Topological Insulators
Explore entanglement spectrum as a tool for studying topological insulators, focusing on interactions and disorder in quantum materials.
D. Ilyutko - Chord Diagrams
Explore chord diagrams in topology, their applications, and mathematical properties. Gain insights into this powerful tool for visualizing and analyzing complex relationships in data structures.
Integrable Systems and Representation Theory: Between Geometry, Algebra and Analysis
Explore integrable systems in Hamiltonian mechanics, quantum systems, and statistical mechanics. Examine connections to representation theory and gauge theory quantization.