Mean-Field Limits for Quantum Systems and Nonlinear Gibbs Measures
Explore quantum systems, Bose-Einstein condensation, and nonlinear Gibbs measures in this advanced mathematics lecture on mean-field limits and symmetry-induced independence.
Cyclotomic KLR Algebras - Part 1 of 4
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.
Drinfeld Center, Tube Algebra, and Representation Theory of Monoidal Categories
Explore connections between category theory, subfactor theory, and quantum groups. Learn about Drinfeld center, tube algebra, and representation theory of monoidal categories.
Spacetime, Quantum Mechanics and Positive Geometry by Nima Arkani Hamed
Explore the intersection of spacetime, quantum mechanics, and positive geometry, delving into scattering amplitudes, the mystery of time, and emergent phenomena in theoretical physics.
Quantum Field Theory as the Language of Physics by Nathan Seiberg
Explore quantum field theory's role as the universal language of physics, its applications, limitations, and potential reformulation in this insightful talk by Nathan Seiberg.
Quantum Toric Geometry II - Non-Commutative Geometric Invariant Theory
Explore quantum geometric invariant theory, extending classical GIT to non-commutative cases. Gain insights into cutting-edge research in quantum toric geometry.
Quantization of Moduli Spaces of Local Systems at Roots of Unity
Explore quantization of G-local system moduli spaces on decorated surfaces, discussing applications to quantum topology and quantum group representations.
Quivers, Curve Counting, and Fermionic Sums in Topology
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.
Carlos A. Ruiz, UNAM - Quantum Toric Geometry, Generalized Geometries & O-Minimality Conference
Explore advanced mathematical concepts in quantum toric geometry, generalized geometries, and o-minimality with expert Carlos A. Ruiz from UNAM in this in-depth conference presentation.
Quantum Toric Geometry and Tame Geometry via Motivic Rings II
Explore the connection between quantum toric manifolds and tame geometry through Hodge number computations of LVM manifolds, providing insights for future research in non-commutative geometry.
A. Malutin - On Domination of Hyperbolic Knots
Explore hyperbolic knot domination in topology, examining mathematical concepts and techniques for analyzing knot structures and their properties in hyperbolic space.
Pachner's 3-3 Relations and Hopf Algebras
Explore Pachner's 3-3 relations and their connections to Hopf algebras in quantum topology, delving into advanced mathematical concepts and their applications.
Conjugation of Global Knots
Explore the mathematical concept of conjugation in global knots, delving into advanced topological theories and their applications in quantum mechanics.
On the Number of Non Hyperbolic Knots
Explore the intriguing world of non-hyperbolic knots with Andrei Malyutin's in-depth analysis, offering insights into their quantity and mathematical properties.
Homology of Yang-Baxter Operators and Search for (Co)Cycle Invariants of Knots
Explore homology of Yang-Baxter operators and the quest for (co)cycle invariants in knot theory with mathematician Jozef Przytycki in this advanced topology lecture.
Ph. Korablev - Quantum Invariants of Knots
Explore quantum invariants of knots, delving into advanced mathematical concepts and their applications in topology and quantum mechanics.
The Stat-Sums on the Spines of Three-Dimensional Manifolds
Explore state-sums on spines of 3D manifolds with V. Turaev, delving into advanced concepts in quantum topology and geometric structures.
New Frontiers in Topology: Multilevel Systems and Out-of-Equilibrium Dynamics - Lecture 2
Explore advanced topology concepts in multilevel systems and out-of-equilibrium phenomena. Delve into complex theoretical physics and gain insights from cutting-edge research in this field.
Tony Feng- A New Approach to Breuil-Mezard Cycles
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.
Product Mixing, Quantum Separation, and Comfortable Juntas
Explores product mixing in special unitary groups, solving Gowers' problem and its applications in quantum communication, with sharp results on subset distributions in SU_n.
Quasi-Crystals, Fractals, and Other Beauties by Cristiane Morais Smith
Explore quasi-crystals, fractals, and related mathematical structures in this lecture by Cristiane Morais Smith, delving into their fascinating properties and applications in physics and beyond.