Introduction to Non-Commutative Geometry - Lecture 3
Explore advanced concepts in non-commutative geometry, delving into complex mathematical structures and their applications in theoretical physics and quantum mechanics.
The Quantum Deformed Haldane-Shastry Model at q=i
Explore integrability in condensed matter physics and quantum field theory through the quantum deformed Haldane Shastry model at q=i.
Swallowed Kashiwara Crystals by Accident
Explore Kashiwara crystals and their accidental ingestion in this intriguing mathematical talk by Xiao Wang from the Institute for Advanced Study.
Homological Mirror Symmetry and Quantum Link Invariants
Explore homological mirror symmetry, categorification of quantum link invariants, and new mirror pairs in this advanced mathematical lecture by Mina Aganagic.
A q-Analogue of the Family of Poincaré Distributions on the Upper Half Plane
Explore q-analogues of Poincaré distributions on the upper half plane, delving into mathematical concepts and their applications in geometric analysis.
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.
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.
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.
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.
Operator Algebras, Bi-Unitary Connections and Tensor Networks - Lecture 4
Explore tensor categories as quantum symmetries, using Jones subfactor theory and bi-unitary connections to study 2D topological order and tensor networks.
Operator Algebras, Bi-Unitary Connections and Tensor Networks - Lecture 2
Explore tensor categories as quantum symmetries, using Jones subfactor theory and bi-unitary connections to study 2D topological order and tensor networks.
Operator Algebras, Bi-Unitary Connections and Tensor Networks - Lecture 1
Explore tensor categories as quantum symmetries, using Jones subfactor theory and bi-unitary connections to study 2D topological order and tensor networks.
S-duality and Lie Super-algebras
Explore geometric realization of quantum simple Lie super-algebras, S-duality, and connections to geometric Langlands correspondence and relative Langlands duality.