25.03.2020 Ф.Г. Кораблёв - Автоморфизмы раскрасок и инварианты узлов
Исследование автоморфизмов раскрасок и их связи с инвариантами узлов в топологии. Анализ современных методов и подходов в этой области математики.
9.12.2017 И.А. Дынников - Рокировочные классы прямоугольных диаграмм и лежандровы узлы
Исследование рокировочных классов прямоугольных диаграмм и их связи с лежандровыми узлами в топологии. Анализ математических свойств и применений.
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.
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.
Introduction to Chern Simons Theory and Topology
Explore Chern Simons Theory and its connections to topology with renowned physicist Edward Witten in this advanced workshop on quantum information and physics.
Equivariant Derived Category of a Reductive Group as a Categorical Center
Explore equivariant derived categories of reductive groups and their role as categorical centers in representation theory.
Various Incarnations of the Affine Hecke Category
Explorez les différentes incarnations de la catégorie de Hecke affine dans le cadre de la théorie des représentations quantiques.
Quantum Category O vs Affine Hecke Category - Lecture 1
Explore quantum category O and affine Hecke category in representation theory with Yale University's I. Losev at the Quantum Topobology Biennial.
Categorified Traces and Colored SL_2 Knot Homology
Explore categorified traces and colored SL_2 knot homology in quantum topology, focusing on representation theory applications.
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.
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 Schr öder paths counting.
Topology in Time-Evolving Quantum Systems
Delve into quantum topology's dynamic nature, exploring how symmetry changes affect topological invariants in non-equilibrium systems through experimental studies with ultracold atomic BEC in 1D lattices.