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.
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.
Soergel Bimodules, Matrix Factorizations and Hilbert Schemes
Explore Soergel bimodules, matrix factorizations, and Hilbert schemes in quantum topology, focusing on representation theory applications.
Global Lie Theory: Wild Riemann Surfaces and Their Character Varieties
Explore the evolution of topological symplectic structures, wild Riemann surfaces, and character varieties in global Lie theory. Discover connections to quantum groups, hyperkähler geometry, and integrable systems.
Heegaard Branes and Exact Results for Non-perturbative Complex Chern-Simons Theory
Explore Heegaard branes in moduli spaces of Higgs bundles and their applications in mathematics, from geometric Langlands to low-dimensional topology and complex Chern-Simons theory.
Inequalities Defining Polyhedral Realizations of Affine Types and Extended Young Diagrams
Explore crystal bases in Lie algebra representation theory, focusing on polyhedral realizations and explicit inequalities for classical affine types using extended Young diagrams.
Chirality and Topology in Materials Science - Lecture 34
Explore chirality and topology in materials science with Prof. Claudia Felser's lecture on cutting-edge research and applications.
Knots, Operator Algebras, and Physics - Part II
Explore advanced mathematical concepts connecting knot theory, operator algebras, and physics, focusing on Kaufman brackets and entanglement schemes.
New Equivariant Dimensions
Explore equivariant dimensions with Ludwik Dąbrowski, delving into advanced mathematical concepts and their applications in theoretical physics.
C*-Algebras of Classical and Quantum Groupoids - Part II
Explore advanced concepts in C*-algebras, focusing on classical and quantum groupoids. Delve into theoretical foundations and applications in mathematical physics.
C*-Algebras of Classical and Quantum Groupoids - Part I
Explore C*-algebras of classical and quantum groupoids in this advanced mathematical lecture by Byung-Jay Kahng from Canisius College, USA.
Principal Differential Calculi on Quantum Flag Manifolds
Explore quantum flag manifolds through principal differential calculi, covering key concepts like Schneider Theorem and covariant calculi with Thomas Weber.
Knot Quantum Invariants, Graphs, and Combinatorics - Part 2
Explore advanced concepts in knot theory, focusing on quantum invariants, graph theory, and combinatorial techniques. Delve into intricate mathematical relationships.
Knots-Quivers Correspondence: Generalizations and Combinatorics
Explore knots-quivers correspondence, its extensions, and applications in enumerative combinatorics, including lattice paths and Schröder paths counting.
Introduction to Quiver BPS Algebras - Part 5
Explore quiver BPS algebras with Wei Li, delving into advanced mathematical concepts and their applications in theoretical physics and algebraic geometry.
Introduction to Quiver BPS Algebras - Part 4
Explore quiver BPS algebras with Wei Li, delving into advanced concepts and applications in mathematical physics and representation theory.
Introduction to Quiver BPS Algebras - Part 3
Explore advanced concepts in quiver BPS algebras, delving into complex mathematical theories and applications in theoretical physics.
Integrability of Box-Ball Systems and Randomized Box-Ball Systems - Part II
Explore integrability and randomization in box-ball systems. Delve into crystals, Bethe ansatz, ultradiscretization, and analytical results from TBA and GHD. Gain insights into density plateaux and current correlations.
Extensions of Affine Algebra Vertex Operator Algebras
Explore extensions of affine algebra VOAs, focusing on V(g,k) for simple Lie algebras. Learn about finite-index extensions, simple currents, and quantum subgroups in module category classification.
Towards the Quantum Exceptional Series
Explore continuous families of planar algebras interpolating exceptional Lie algebras and their quantum counterparts. Discover a potential new exceptional knot polynomial through skein theoretic analysis.
Spherical Functions and Mirror Symmetry
Explore spherical functions and mirror symmetry in mathematics, bridging quantum physics and the Langlands Program through innovative interdisciplinary approaches.