Knotty Problems - Marc Lackenby
Explore knot theory, topology, and unsolved mathematical problems with Professor Marc Lackenby in this engaging lecture on the fascinating world of knots and their applications.
The Shape of Relations: Knots and Other Stories in Topological Data Analysis
Explore the fascinating world of Topological Data Analysis in this 59-minute conference talk by Radmila Sazdanovic, presented by the Applied Algebraic Topology Network. Discover how TDA tools can uncover relevant features in data by analyzing the shape o…
Primes and Knots - Akshay Venkatesh
Explore surprising parallels between number theory and 3D geometry, uncovering connections that continue to shape mathematical research.
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.
A Álgebra de Nós
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.
Khovanov-Seidel Braids Representation
Explore Khovanov-Seidel braids representation in this mathematical conference talk. Gain insights into current trends in representation theory, cluster algebras, and geometry.
From Hyperbolic Geometry to Data Clustering
Explore how hyperbolic geometry and knot theory inspire innovative data clustering algorithms, bridging abstract mathematics with practical data science applications.
Knots and Surfaces I - Algebraic Topology - NJ Wildberger
Explore knot theory's origins, basic concepts, and key invariants in this introductory lecture on algebraic topology, covering Reidemeister moves, crossing numbers, and the Alexander-Conway polynomial.
Crossing Numbers of Whitehead Doubles
Explore the connection between colored Jones polynomials and crossing numbers of Whitehead doubles, revealing insights into satellite knots' minimum crossing numbers.
On Knot Theoretical Counterpart of the Groups G^k_n
Explore knot theory's connection to groups G^k_n, covering tetrahedron relations, permutations, and invariants. Gain insights into geometry, topology, and group theory applications.
Picture Valued Invariants, Groups, and Applications of Virtual Knot Theory
Explore picture valued invariants, groups, and applications of virtual knot theory with Professor Vassily Manturov in this advanced mathematics lecture.
Skein Exact Triangles in Equivariant Singular Instanton Theory
Explore knot signatures and singular instanton homology, focusing on skein exact triangles in equivariant theory. Uncover new insights into link invariants and their categorifications.
Knot Polynomials from Chern-Simons Field Theory and Their String Theoretic Implications by P. Ramadevi
Explore knot polynomials, Chern-Simons theory, and string theory connections. Learn about knot classification, invariants, homology, and gauge-string duality in topological strings. Discover M-theory descriptions and brane constructions.
Topological Strings, Knots, and Quivers - Lecture 1
Explore topological strings, knots, and quivers in this lecture covering knot invariants, Chern-Simons theory, A-polynomials, volume conjectures, and knot homology, with exercises and examples.
Using Machine Learning to Formulate Mathematical Conjectures - IPAM at UCLA
Explore how machine learning aids mathematicians in formulating conjectures, focusing on a discovery linking low-dimensional topology and geometry, with insights on the method's potential and limitations.
Parameterized Complexity of Quantum Invariants of Knots
Explore quantum invariants of knots, their parameterized complexity, and efficient algorithms for computation using graphical calculus and tree embeddings.
Standard and Less Standard Asymptotic Methods - Lecture 5
Explore advanced asymptotic methods for evaluating infinite sums and sequences, including Euler-Maclaurin formula variants and less conventional techniques, with practical examples and applications.
Ribbon Concordances and Slice Obstructions: Experiments and Examples
Explore ribbon concordances between knots, computational methods, and results in low-dimensional topology. Joint work with Nathan Dunfield on slice obstructions and experimental approaches.
Rational Slice Genus Bounds from Knot Floer Homology
Exploring rational slice genus of knots using relative adjunction inequalities and knot Floer homology, with applications to Floer simple knots and insights from 4-dimensional topology.
Characterizing Slopes for Alternating Knots
Exploration des pentes caractérisantes pour les nœuds alternés, examinant leur unicité lors de chirurgies rationnelles et discutant des progrès récents dans ce domaine de la topologie.
Four-Genus Bounds from the 10/8+4 Theorem
Explore knot slicing obstructions and four-ball genus bounds using the 10/8+4 theorem. Learn about advanced techniques in gauge theory and low-dimensional topology.