9.12.2017 А.Е. Миронов - Алгебраическая интегрируемость магнитных бильярдов на плоскости
Исследование алгебраической интегрируемости магнитных бильярдов на плоскости, включая анализ их динамических свойств и математических особенностей.
8.12.2017 А.Е. Миронов - Интегрируемые магнитные геодезические потоки на двумерном торе
Исследование интегрируемых магнитных геодезических потоков на двумерном торе, их свойств и применений в математической физике.
Quantum Geometry of Fuchsian Systems - Lecture 2
Explore quantum geometry of Fuchsian systems in-depth, focusing on advanced concepts and applications in mathematical physics.
Grassmannians and Discrete KP Flows
Explore Grassmannians and discrete KP flows, clarifying their relationship and integration with continuous hierarchies. Gain insights into recent developments in this mathematical field.
Geometry and Integrability - Lecture by Bertrand Eynard
Explorez la géométrie et l'intégrabilité dans cette conférence mathématique approfondie, mettant en lumière les systèmes intégrables et leurs applications.
Mathematics Around Integrable Hierarchies
Explore integrable hierarchies in mathematical physics with Professor Takashi Takebe, delving into advanced concepts and their applications.
R-matrices for the Category O of Quantum Loop Algebras
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.
Universal K-matrix and Fused K-operators in Quantum Affine Algebras
Explore universal K-matrices and fused K-operators in quantum algebras. Delve into the construction of transfer matrices and their applications to open spin-chains.
Slot Decomposition of the Box-Ball System - Part I
Explorez la décomposition en fentes du système de boîtes à balles, un automate cellulaire de transport conservant les solitons. Découvrez les composantes solitoniques et leur évolution hiérarchique.
New Signed Bijections Pertaining to Alternating Sign Matrices and Gelfand-Tsetlin Patterns
Delve into advanced mathematical concepts exploring signed bijections, alternating sign matrices, and Gelfand-Tsetlin patterns through rigorous theoretical analysis and problem-solving approaches.
Products of Matrices, Non-Abelian Hodge Theory, Integrable Systems, and Theories of Class S
Explore connections between Deligne-Simpson problem and Hitchin systems, delving into SCF Theories of Class S and 3D mirror symmetry in this advanced mathematics lecture.
Dimers and M-curves: Limit Shapes from Riemann Surfaces
Explore dimer models, M-curves, and limit shapes through algebraic geometry, integrating Riemann surfaces and Schottky uniformization. Gain insights into statistical mechanics and discrete geometry.
Asymptotics in Hitchin's Moduli Space
Explores asymptotic behavior in Hitchin's moduli space, comparing different notions of ideal points at infinity and examining the extension of the nonabelian Hodge correspondence between partial compactifications.
Variations on a Theme of Hitchin's System
Explores recent developments in Hitchin's system, including connections to SCFTs, extensions to integrable systems, geometry of the base, and links to the Deligne-Simpson problem.
Finding Symplectic Balls in Disguise with Integrable Systems
Explore integrable systems to uncover hidden symplectic balls, delving into Hamiltonian geometry and its applications in mathematical physics.
The tt*-Toda Equations and Symplectic Groupoids
Explore tt*-Toda equations and symplectic groupoids in this advanced mathematics talk by Nan-Kuo Ho, delving into toric topology and geometry concepts.
The Atypical Growth in Random Interfaces - KPZ Equation and Unusual Growth Patterns
Explore random interface growth phenomena and the KPZ equation, combining probability, PDEs, and integrable systems to understand unusual growth behaviors.
Counting Curves: Which, How and Why - Kirk Public Lecture
Explore enumerative geometry's evolution, from classical problems to modern developments influenced by string theory, highlighting connections to various mathematical fields.
KP Solutions from Algebraic Curves and the Positive Grassmannian
Explore KP solutions derived from algebraic curves and the positive Grassmannian in this advanced mathematical talk by Yelena Mandelshtam.
On the Integrability of the Airy Kernel and Beyond
Explore integrability of the Airy kernel and related mathematical concepts in this advanced mathematical analysis presentation by Sofia Tarricone.
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.