Knot Invariants from Finite Dimensional Integration
Explore finite dimensional integration for computing powerful knot invariants, surpassing traditional methods in efficiency and rigor while challenging established notions in knot theory.
Structure in the Search for Structure - Algebraic Number Theory and Motivic Cohomology
Explore algebraic number theory through analogies between numbers and shapes, including quadratic reciprocity and linking numbers, leading to insights on Tate's 1966 conjecture.
Knots and Categories
Explore connections between knot theory and category theory, delving into mathematical concepts and their interrelationships in topology and algebra.
Link Homology and How to Compute It - Part 3
Explore advanced techniques for computing link homology, delving into complex mathematical concepts and methodologies in topology and knot theory.
Knot Invariants and Hyperbolic Flows
Explore knot invariants and hyperbolic flows in this advanced mathematics talk by Northwestern researcher Solly Coles.
Murderous Maths - An Interactive Look at the World of Mathematics
Explore the hilarious world of maths with Kjartan Poskitt. Discover fascinating number facts, tricks, codes, and predictions through interactive demonstrations and audience participation.
Character Varieties of Tangles and Singular Instanton Homology
Explore character varieties of tangles and singular instanton homology. Investigate Lagrangian Floer theory for knot study, examining tangle sums and their implications for knot invariants.
Iterative Construction of Discrete Laplacians on 2D Square and Hexagonal Lattices
Explore iterative construction of discrete Laplacians on 2D square and hexagonal lattices using BTBB and other sequences. Compare methods and discover the exceptional nature of the BTBB sequence.
Quantum Racah Matrices and Evolution of Knots
Explore quantum Racah matrices and their role in knot evolution, delving into advanced concepts in quantum topology and mathematical physics.
A. Slepcov - Quantum Invariants of Knots and Their Properties
Explore quantum invariants of knots, their properties, and applications in topology. Gain insights into advanced mathematical concepts and their relevance in quantum theory.
V. Tarkaev - Construction of the Khovanov Homology
Explore the construction of Khovanov homology, a powerful invariant in knot theory, and its applications in quantum topology and low-dimensional manifolds.
A Skein Theoretic Approach to CFT Correlators - Part 2
Explore skein theoretic approaches to CFT correlators in this advanced physics lecture, delving into mathematical techniques for analyzing quantum field theories.
Resurgence and Quantum Modularity
Explore improved analytic properties of q-difference equations, computing Stokes constants, and quantum modular forms in knot theory and related mathematical areas.
Quantum Chern-Simons Theory: Real and Complex Formulations - Lecture 1
Explore Quantum Chern-Simons Theory, covering WRT invariants, Resurgence conjecture, and Teichmüller TQFT. Delve into detailed examples and discuss related conjectures.
Introduction to BPS Spectra and Quantum Invariants - Lecture 1
Explore BPS spectra and quantum invariants in theoretical physics, focusing on fundamental concepts and their applications in modern research.
3D Modularity Revisited - Defect 3-Manifold Invariants and VOAs
Explore 3D modularity, defect 3-manifold invariants, and vertex operator algebras in this advanced mathematical lecture by Ioana Coman.
Derived Skein Modules via Factorization Homology
Explore derived skein modules through factorization homology, delving into categorical symmetries in quantum field theory.
Bordered-Sutured Floer Homology as a Sutured TQFT
Explore advanced quantum topology concepts through bordered-sutured Floer homology and its applications as a sutured TQFT in this in-depth lecture by J. Rasmussen.
Strange Loops - Capturing Knots With Powerful Notations
Explore knot theory through Conway's and Dowker's notations, examining their efficiency in enumerating knots and the broader implications for systematic thinking in mathematics.
Low Dimensional Topology and Circle-Valued Morse Functions
Explore the Kakimizu complex for genus one hyperbolic knots, examining its structure, dimensions, and examples across various dimensions in 3-sphere topology.
Low Dimensional Topology and Circle-valued Morse Functions
Explore Khovanov homology of torus braids, characterizing simplified complexes and their applications in quantum topology. Gain insights into recent advancements and conjectures in low-dimensional topology.