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#Quantum Groups

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Institute for Advanced Study

Introduction to Quantized Enveloping Algebras - Leonardo Maltoni

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Explore quantized enveloping algebras, their structure, and applications in quantum groups. Learn about Gaussian binomial coefficients, q-deformations, and Hopf algebra structures.
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15 Lesons
1 hour 48 minutes
On-Demand
Free-Video
Institute for Advanced Study

Liouville and JT Quantum Gravity - Holography and Matrix Models

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Explore holography and matrix models in Liouville and JT quantum gravity, covering fixed-length boundaries, partition functions, multi-boundary amplitudes, and quantum group interpretations.
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16 Lesons
55 minutes
On-Demand
Free-Video
Galileo Galilei Institute

Noncommutative Geometry of Quantum Flag Manifolds

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Explore noncommutative geometry and quantum flag manifolds in this advanced mathematics lecture, delving into complex algebraic structures and their applications.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

A Álgebra de Nós

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Explore a fascinante álgebra de nós com o pesquisador Jethro van Ekeren. Descubra como essa área da matemática conecta topologia e álgebra, revelando insights surpreendentes sobre estruturas geométricas.
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1 Lesons
41 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Categorification at Roots of Unity

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Explorez la catégorification des groupes quantiques aux racines de l'unité, en examinant les algèbres p-DG et les représentations catégoriques pour sl(2).
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1 Lesons
42 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Weyl Algebras for Quantum Homogeneous Spaces and Applications

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Explore quantum analogues of differential operators on symmetric spaces, examining Capelli operators and their connection to Macdonald polynomials in representation theory.
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1 Lesons
49 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Vertex Algebras and Quantum Groups with Big Center

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Explore vertex algebras and quantum groups with large centers, focusing on semisimple Lie algebras and their connections to quantum geometric Langlands correspondence and logarithmic Kazhdan-Lusztig conjecture.
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1 Lesons
51 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

R-matrices for the Category O of Quantum Loop Algebras

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Explore R-matrices for quantum loop algebras' category O, examining a functor relating Uq(g) and Uh(g) categories, and analyzing resulting R-matrices' properties and factorization.
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1 Lesons
35 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Braided Fusion Categories - Lecture 3

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Explore semisimple braided tensor categories, their structure, and classification. Delve into centralizers, non-degeneracy, equivariantizations, and the core of braided fusion categories.
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1 Lesons
53 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

New Signed Bijections Pertaining to Alternating Sign Matrices and Gelfand-Tsetlin Patterns

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Delve into advanced mathematical concepts exploring signed bijections, alternating sign matrices, and Gelfand-Tsetlin patterns through rigorous theoretical analysis and problem-solving approaches.
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1 Lesons
1 hour 30 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Cyclotomic KLR Algebras - Part 1 of 4

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Exploring cyclotomic KLR algebras, their connection to quantum groups, and their role in categorifying highest weight representations, with a focus on type A and the Ariki–Brundan–Kleshchev theorem.
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13 Lesons
1 hour
On-Demand
Free-Video
Hausdorff Center for Mathematics

Drinfeld Center, Tube Algebra, and Representation Theory of Monoidal Categories

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Explore connections between category theory, subfactor theory, and quantum groups. Learn about Drinfeld center, tube algebra, and representation theory of monoidal categories.
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13 Lesons
51 minutes
On-Demand
Free-Video
IMSA

Quivers, Curve Counting, and Fermionic Sums in Topology

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Explore connections between quantum groups, vertex algebras, and quiver representations in topology. Discover how fermionic forms link these areas, shedding new light on enumerative geometry and curve counting.
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1 Lesons
1 hour 12 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Tony Feng- A New Approach to Breuil-Mezard Cycles

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Explore a novel local and group-theoretic approach to the Breuil-Mezard Conjecture, connecting it to quantum groups and homological mirror symmetry in algebraic number theory.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
Fields Institute

Crossed Product Equivalence of Quantum Automorphism Groups

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Explore quantum automorphism groups and their crossed product equivalence in this advanced mathematics talk by Michael Brannan from the University of Waterloo.
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1 Lesons
53 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

The Composition Tableau and Construction of the Canonical Weierstrass Section

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Explore the composition tableau and canonical Weierstrass section construction in this advanced algebraic geometry lecture by Yasmine Fittouhi, part of a broader program on representation theory.
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1 Lesons
1 hour
On-Demand
Free-Video
International Centre for Theoretical Sciences

Representation Theory in Infinite-Dimensional Algebras

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Explore advanced representation theory concepts in this talk by Deniz Kus, covering algebraic and combinatorial methods in infinite-dimensional Lie algebras and quantum groups.
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1 Lesons
40 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

A Braided Monoidal 2-Category via Soergel Bimodules

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Explore braided monoidal 2-categories through Soergel bimodules, examining quantum group representations and categorification in relation to Hecke algebras and quantum link invariants.
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1 Lesons
53 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

The Nil-Brauer Category - Categorification and Applications

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Exploration of the nil-Brauer category, its relation to quantum groups, and applications in categorification and Soergel bimodules, presented by Jonathan Brundan at IPAM's workshop.
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1 Lesons
54 minutes
On-Demand
Free-Video
Galileo Galilei Institute

Quivers and Cohomological Hall Algebras - Lecture 3

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Explore advanced concepts in quiver theory and cohomological Hall algebras, delving into complex mathematical structures and their applications in algebraic geometry.
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1 Lesons
1 hour 37 minutes
On-Demand
Free-Video
Galileo Galilei Institute

Quivers and Cohomological Hall Algebras - Lecture 2

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Explore advanced concepts in quiver theory and cohomological Hall algebras, delving into their intricate connections and applications in algebraic geometry and representation theory.
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1 Lesons
1 hour 20 minutes
On-Demand
Free-Video
Galileo Galilei Institute

Introduction to Non-Commutative Geometry - Lecture 3

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Explore advanced concepts in non-commutative geometry, delving into complex mathematical structures and their applications in theoretical physics and quantum mechanics.
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1 Lesons
1 hour 46 minutes
On-Demand
Free-Video
NCCR SwissMAP

The Quantum Deformed Haldane-Shastry Model at q=i

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Explore integrability in condensed matter physics and quantum field theory through the quantum deformed Haldane Shastry model at q=i.
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1 Lesons
58 minutes
On-Demand
Free-Video
Institute for Advanced Study

Swallowed Kashiwara Crystals by Accident

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Explore Kashiwara crystals and their accidental ingestion in this intriguing mathematical talk by Xiao Wang from the Institute for Advanced Study.
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1 Lesons
17 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Homological Mirror Symmetry and Quantum Link Invariants

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Explore homological mirror symmetry, categorification of quantum link invariants, and new mirror pairs in this advanced mathematical lecture by Mina Aganagic.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Conference GSI

A q-Analogue of the Family of Poincaré Distributions on the Upper Half Plane

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Explore q-analogues of Poincaré distributions on the upper half plane, delving into mathematical concepts and their applications in geometric analysis.
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1 Lesons
44 minutes
On-Demand
Free-Video
NCCR SwissMAP

Aha and Eha in Quantum Topology Representation Theory

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Explore representation theory in quantum topology with A. Negut from MIT, delving into Aha and Eha concepts during this insightful lecture.
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1 Lesons
59 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Global Lie Theory: Wild Riemann Surfaces and Their Character Varieties

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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.
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1 Lesons
1 hour 12 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Heegaard Branes and Exact Results for Non-perturbative Complex Chern-Simons Theory

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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.
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1 Lesons
1 hour 15 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Inequalities Defining Polyhedral Realizations of Affine Types and Extended Young Diagrams

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Explore crystal bases in Lie algebra representation theory, focusing on polyhedral realizations and explicit inequalities for classical affine types using extended Young diagrams.
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1 Lesons
44 minutes
On-Demand
Free-Video
Banach Center

Knots, Operator Algebras, and Physics - Part II

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Explore advanced mathematical concepts connecting knot theory, operator algebras, and physics, focusing on Kaufman brackets and entanglement schemes.
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7 Lesons
2 hours 8 minutes
On-Demand
Free-Video
Banach Center

New Equivariant Dimensions

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Explore equivariant dimensions with Ludwik Dąbrowski, delving into advanced mathematical concepts and their applications in theoretical physics.
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1 Lesons
48 minutes
On-Demand
Free-Video
Banach Center

C*-Algebras of Classical and Quantum Groupoids - Part II

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Explore advanced concepts in C*-algebras, focusing on classical and quantum groupoids. Delve into theoretical foundations and applications in mathematical physics.
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1 Lesons
2 hours 6 minutes
On-Demand
Free-Video
Banach Center

C*-Algebras of Classical and Quantum Groupoids - Part I

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Explore C*-algebras of classical and quantum groupoids in this advanced mathematical lecture by Byung-Jay Kahng from Canisius College, USA.
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1 Lesons
2 hours 5 minutes
On-Demand
Free-Video
Banach Center

Principal Differential Calculi on Quantum Flag Manifolds

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Explore quantum flag manifolds through principal differential calculi, covering key concepts like Schneider Theorem and covariant calculi with Thomas Weber.
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12 Lesons
1 hour 12 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Integrability of Box-Ball Systems and Randomized Box-Ball Systems - Part II

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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.
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1 Lesons
48 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Extensions of Affine Algebra Vertex Operator Algebras

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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.
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1 Lesons
54 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Towards the Quantum Exceptional Series

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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.
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1 Lesons
57 minutes
On-Demand
Free-Video
BIMSA

Operator Algebras, Bi-Unitary Connections and Tensor Networks - Lecture 4

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Explore tensor categories as quantum symmetries, using Jones subfactor theory and bi-unitary connections to study 2D topological order and tensor networks.
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1 Lesons
1 hour 43 minutes
On-Demand
Free-Video
BIMSA

Operator Algebras, Bi-Unitary Connections and Tensor Networks - Lecture 2

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Explore tensor categories as quantum symmetries, using Jones subfactor theory and bi-unitary connections to study 2D topological order and tensor networks.
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1 Lesons
1 hour 42 minutes
On-Demand
Free-Video
BIMSA

Operator Algebras, Bi-Unitary Connections and Tensor Networks - Lecture 1

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Explore tensor categories as quantum symmetries, using Jones subfactor theory and bi-unitary connections to study 2D topological order and tensor networks.
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1 Lesons
1 hour 36 minutes
On-Demand
Free-Video
BIMSA

S-duality and Lie Super-algebras

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Explore geometric realization of quantum simple Lie super-algebras, S-duality, and connections to geometric Langlands correspondence and relative Langlands duality.
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1 Lesons
1 hour 11 minutes
On-Demand
Free-Video
BIMSA

Langlands Duality for the Affine Hecke Category

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Explore Langlands duality for affine Hecke category, its applications in representation theory, and potential generalizations to symplectic singularities. Gain insights into geometric local Langlands duality.
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1 Lesons
51 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Stationary Measures for Integrable Probabilistic Systems

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Explore advanced mathematical concepts in integrable probabilistic systems, focusing on stationary measures, discrete models, and their applications in theoretical physics and mathematics.
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1 Lesons
1 hour 28 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Colored Vertex Models, Orthogonal Functions and Probability - Lecture 2

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Delve into advanced concepts of colored vertex models, exploring their connections to orthogonal functions and probability theory through expert mathematical analysis and demonstrations.
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1 Lesons
1 hour 32 minutes
On-Demand
Free-Video
International Mathematical Union

Peng Shan- On Geometrical Realization of Centers

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Explore connections between algebra centers and geometric cohomology, focusing on quantum groups and affine Springer fibers in Lie theory.
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19 Lesons
42 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Crystal Bases for Quantum Superalgebras - Lecture 2

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Explore crystal bases for quantum superalgebras, focusing on advanced representation theory concepts and their applications in mathematical physics.
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1 Lesons
1 hour 55 minutes
On-Demand
Free-Video
IMSA

Floer Theory and Quantum Groups

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Explore Floer theory, quantum groups, and gauge theories in 3-manifolds. Discover connections between moduli spaces, Floer invariants, and skein modules in topological quantum field theory.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Unifying Lattices Through Hourglass Plabic Graphs

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Explore connections between web bases, quantum groups, and lattice models. Discover new combinatorial frameworks linking alternating sign matrices, plane partitions, and the Tamari lattice.
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1 Lesons
20 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Universality of Dynamic Processes Using Drinfel'd Twisters

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Explore universality in dynamic processes using Drinfel'd twisters, examining long-time asymptotics and Tracy-Widom fluctuations through quantum group duality and asymptotic analysis.
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1 Lesons
44 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Tracial and G-invariant States on Quantum Groups

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Explore tracial and G-invariant states on quantum groups, examining connections between traceability and G-invariance in discrete quantum group C*-algebras.
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1 Lesons
34 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

New Applications of the Reflection Equation Algebras

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Explore new applications of Reflection Equation Algebras, including q-analogs of Schur-Weyl duality, Capelli formula, and Frobenius formula in quantum mathematics.
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18 Lesons
42 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Categorified Crystal Bases on Localized Quantum Coordinate Rings

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Explore categorified crystal bases on localized quantum coordinate rings, focusing on monoidal categories, quiver Hecke algebras, and crystal structures in quantum algebra.
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1 Lesons
45 minutes
On-Demand
Free-Video
M-Seminar, Kansas State University

Cohomological Hall Algebras of Zero-Dimensional Sheaves on Surfaces and the P=W Conjecture

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Explore cohomological Hall algebras of 2CY categories, focusing on zero-dimensional sheaves on surfaces and their role in proving the P=W conjecture for character varieties.
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1 Lesons
1 hour 28 minutes
On-Demand
Free-Video
M-Seminar, Kansas State University

Infinite-Dimensional Spin Chains from Gauge Theory

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Explore infinite-dimensional spin chains in gauge theory, connecting quantum mechanics, particle physics, and mathematics through innovative approaches to Bethe ansatz and Langlands programs.
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1 Lesons
1 hour 29 minutes
On-Demand
Free-Video
M-Seminar, Kansas State University

Non-semisimple TQFTs from 3D N=4 Quantum Field Theories - Part 1

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Explore non-semisimple TQFTs from 3D supersymmetric field theories, examining their connections to quantum groups and vertex operator algebras in topological quantum field theory.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
M-Seminar, Kansas State University

Cluster Nature of Quantum Groups

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Explore quantum groups through a rigid cluster model, discovering natural Hopf algebra isomorphisms and a cluster canonical basis with unique invariance properties.
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1 Lesons
1 hour 10 minutes
On-Demand
Free-Video
IPhT-TV

Introduction to Quantum Integrability - Lecture 1

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Explore quantum integrability fundamentals with Jules Lamers in this comprehensive lecture, part of a five-part series delving into advanced concepts and applications.
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1 Lesons
2 hours 28 minutes
On-Demand
Free-Video
IPhT-TV

Introduction to Quantum Integrability - Lecture 1

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Explore quantum integrability fundamentals, focusing on key concepts and applications in theoretical physics.
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1 Lesons
2 hours 12 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Integrability of Box-Ball Systems and Randomized Box-Ball Systems - Part 1

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Explorez l'intégrabilité des systèmes de boîtes à boules et leurs versions aléatoires. Découvrez les liens avec la théorie des cristaux, l'ansatz de Bethe et l'ultradiscrétisation dans ce domaine fascinant des mathématiques.
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1 Lesons
55 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Belavin-Drinfeld Quantum Groups - Survey and Future Directions

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Explore Belavin-Drinfeld quantum groups, their deformations, and connections to semi-simple algebraic Poisson groups. Survey current knowledge, conjectures, and future research directions in this field.
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1 Lesons
46 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Modular Tensor Categories, Quantum Groups and Vertex Algebras - Lecture 4

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Explore connections between modular tensor categories, quantum groups, and vertex algebras. Delve into the logarithmic Kazhdan–Lusztig conjecture linking quantum groups and vertex algebras.
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1 Lesons
1 hour 27 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Fermionic Forms in Logarithmic Vertex Operator Algebras and BPS Quivers

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Explore connections between quantum groups, vertex algebras, and quiver representations. Uncover new insights into fermionic forms and their applications in representation theory and enumerative geometry.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Modular Tensor Categories, Quantum Groups and Vertex Algebras - Lecture 1

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Explore modular tensor categories, focusing on nonsemisimple theory. Gain insights into these mathematical structures and their connections to quantum symmetries and algebraic concepts.
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1 Lesons
1 hour 22 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Braided Fusion Categories - Lecture 5: Witt Equivalence and Categorical Witt Group

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Explore advanced concepts in braided fusion categories, including gauging, Picard groups, Witt equivalence, and categorical Witt groups. Suitable for graduate-level mathematics students.
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1 Lesons
50 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Braided Fusion Categories - Lecture 4

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Explore algebraic theory of semisimple braided tensor categories, covering properties, examples, centralizers, equivariantizations, gauging, and Witt equivalence. Suitable for graduate students.
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9 Lesons
50 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Braided Fusion Categories - Lecture 2

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Explore algebraic theory of semisimple braided tensor categories, covering structure, classification, and applications in quantum symmetries and topological quantum field theories.
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11 Lesons
53 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Braided Fusion Categories - Lecture 1

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Explore semisimple braided tensor categories, their structure, and classification. Learn about centralizers, non-degeneracy, equivariantizations, gauging, and Witt equivalence in fusion categories.
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1 Lesons
57 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Duality, Onsager Algebra and Ising-Type Structures in Root-of-Unity Six-Vertex Models

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Explore duality, Onsager algebra, and Ising-type structures in root-of-unity six-vertex models. Uncover connections between quantum group representations and symmetries in integrable systems.
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1 Lesons
47 minutes
On-Demand
Free-Video
NCCR SwissMAP

The Center of the Small Quantum Group and Affine Springer Fibers

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Explore representation theory through quantum groups and affine Springer fibers, focusing on the center of small quantum groups.
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1 Lesons
1 hour 8 minutes
On-Demand
Free-Video
NCCR SwissMAP

Spark Algebras and Quantum Groups

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Explore representation theory through spark algebras and quantum groups, focusing on quantum topology concepts.
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1 Lesons
1 hour 9 minutes
On-Demand
Free-Video
Prague Mathematical Physics Seminar

Infinitesimal Braidings and Pre-Cartier Bialgebras

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Explore infinitesimal braidings and pre-Cartier bialgebras in this advanced mathematical physics seminar, delving into complex algebraic structures and their applications.
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1 Lesons
53 minutes
On-Demand
Free-Video
Prague Mathematical Physics Seminar

Bethe Equations and 2D Conformal Field Theory

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Explore Bethe equations and their connection to 2D conformal field theory in this advanced mathematical physics seminar.
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1 Lesons
1 hour 47 minutes
On-Demand
Free-Video
BIMSA

Integrable Systems and Representation Theory: Between Geometry, Algebra and Analysis

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Explore integrable systems in Hamiltonian mechanics, quantum systems, and statistical mechanics. Examine connections to representation theory and gauge theory quantization.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Extensions of Discrete Toda Lattices and their Applications - Lecture 3

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Delve into advanced mathematical concepts of discrete Toda lattices, exploring integrable systems, difference equations, and their applications in theoretical physics and mathematics.
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1 Lesons
1 hour 34 minutes
On-Demand
Free-Video
Banach Center

A Lévy-Khintchine Formula for SUq(N)

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Explore the Lévy-Khintchine formula for SUq(N) in quantum mathematics, delving into advanced concepts and their applications in mathematical physics.
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1 Lesons
1 hour 9 minutes
On-Demand
Free-Video
Banach Center

Some Quantum Spaces Which Are Not Quantum Groups

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Explore non-quantum group quantum spaces, delving into advanced mathematical concepts and their applications in quantum theory.
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1 Lesons
1 hour 19 minutes
On-Demand
Free-Video
Banach Center

Modular Invariants of Compact Quantum Groups

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Explore modular invariants of compact quantum groups, delving into advanced mathematical concepts and their applications in quantum theory.
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1 Lesons
1 hour 7 minutes
On-Demand
Free-Video
Banach Center

Compact and Discrete Quantum Groups

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Explore compact and discrete quantum groups, delving into advanced mathematical concepts with expert Piotr M. Sołtan from the University of Warsaw.
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1 Lesons
1 hour 23 minutes
On-Demand
Free-Video
BIMSA

Quantum Symmetry via Quantum Geometry of Moduli Spaces

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Explore quantum symmetry through moduli spaces of flat G-bundles, examining cluster Poisson structures and their quantization to uncover connections with quantum groups and representations.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
BIMSA

Equivariant K-theory Realization of the Affine i-Quantum Group

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Explore equivariant K-theory's role in realizing affine i-quantum groups, focusing on type C generalizations and constructing simple/standard modules.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Prague Mathematical Physics Seminar

Cubic Dirac Operator for U_q(sl_2)

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Explore quantum group theory and cubic Dirac operators, focusing on U_q(sl_2) generalization. Gain insights into special linear algebra sl(2) and its quantum counterparts.
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1 Lesons
1 hour 8 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Extensions of Discrete Toda Lattices and their Application to Box-Ball Systems

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Delve into discrete integrable systems, exploring Toda lattices, box-ball systems, and their mathematical applications through advanced theoretical physics and mathematical frameworks.
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1 Lesons
1 hour 18 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Colored Vertex Models, Orthogonal Functions and Probability - Lecture 1

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Explore the intersection of colored vertex models, orthogonal functions, and probability theory through advanced mathematical concepts in discrete integrable systems and statistical physics.
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1 Lesons
1 hour 18 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Extensions of Discrete Toda Lattices and their Applications - Lecture 2

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Delve into advanced mathematical concepts of discrete Toda lattices, exploring integrable systems, difference equations, and their applications in theoretical physics and mathematics.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Quadratic Differentials and Degenerate Eigenvalues

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Explore the relationship between quadratic differentials and degenerate eigenvalues in discrete integrable systems through advanced mathematical concepts and theoretical physics applications.
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1 Lesons
26 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Ruijsenaars and Toda Integrable Systems

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Explore advanced mathematical concepts in discrete integrable systems, focusing on difference equations, cluster algebras, and their applications in theoretical physics and probability theory.
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1 Lesons
57 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

The Boundary-driven q-Hahn Process

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Delve into discrete integrable systems, exploring difference equations, cluster algebras, and probabilistic models through advanced mathematical physics and theoretical applications.
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1 Lesons
57 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Skew RSK Dynamics in Discrete Integrable Systems

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Delve into discrete integrable systems, exploring soliton solutions, cluster algebras, and probabilistic models through advanced mathematical physics and theoretical applications.
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1 Lesons
57 minutes
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International Centre for Theoretical Sciences

Integrable Difference Equations and Orthogonal Polynomials with respect to a Discrete Measure

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Explore advanced mathematical concepts in discrete integrable systems, focusing on difference equations, cluster algebras, and probabilistic models through expert-led mini-courses and workshops.
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58 minutes
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International Centre for Theoretical Sciences

The Relativistic Toda Lattice and Quantum K-Schubert Classes of the Flag Variety

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Explore the mathematical foundations of discrete integrable systems through relativistic Toda lattice and quantum K-Schubert classes, focusing on flag variety applications and theoretical physics connections.
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49 minutes
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International Centre for Theoretical Sciences

Skew Column RSK Dynamics and the Box-Ball System

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Explore discrete integrable systems through RSK dynamics and Box-Ball systems, focusing on mathematical structures, quantum groups, and stochastic processes in theoretical physics.
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58 minutes
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