Monica Vazirani- Representations of the Affine BMW Category
Explore Walker's TQFT-motivated construction of affine BMW category representations, their combinatorial description, and implications for affine BMW algebra representations in this advanced mathematics lecture.
Homological Mirror Symmetry for Log Calabi-Yau Surfaces - Ailsa Keating
Explore homological mirror symmetry for log Calabi-Yau surfaces, constructing mirror Landau-Ginzburg models and examining connections to SYZ fibrations and related works in algebraic geometry.
TQFTs From Non-Semisimple Modular Categories and Modified Traces - Marco de Renzi
Explore advanced TQFTs, non-semisimple modular categories, and modified traces in topology. Learn about cutting-edge techniques for studying 3-manifolds and mapping class group representations.
TQFTs from Non-Semisimple Modular Categories and Modified Traces - Lecture I
Explore advanced topological quantum field theories, focusing on non-semisimple constructions and modified traces for powerful invariants and mapping class group representations.
Deformations of Path Algebras of Quivers With Relations
Explore deformation theory of path algebras using reduction systems. Learn about L-infinity algebras, formal deformations, and Poisson structure quantization. Accessible to non-experts with examples.
Deformations of Path Algebras of Quivers with Relations
Explore deformation theory of path algebras using reduction systems. Learn to describe all deformations by systematically modifying relations, with applications in representation theory and algebraic geometry.
Deformations of Path Algebras of Quivers With Relations - Lecture I
Explore path algebras of quivers with relations in representation theory and algebraic geometry. Learn about deformation theory using reduction systems to systematically deform relations.
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.
Self-Intersection of Curves in Surfaces and Drinfeld Associators
Explore self-intersection of curves in surfaces and Drinfeld associators, delving into advanced mathematical concepts and their applications in quantum topology.
Homology of Jucys Murphy Elements and the Flag Hilbert Scheme
Explore the intricate connections between Jucys-Murphy elements and flag Hilbert schemes, delving into their homological properties and algebraic structures.
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.
Informational Content of Finite Type Invariants
Explore finite type invariants in quantum topology, examining their informational content and implications for knot theory and related mathematical fields.
Ph. Korablev - Skein-Invariants of 3-Manifolds
Explore skein-invariants of 3-manifolds in this advanced topology lecture, delving into complex mathematical concepts and their applications in quantum topology.
Calculation of Colored HOMFLY Polynomials
Explore advanced techniques for calculating colored HOMFLY polynomials, a powerful tool in knot theory and quantum topology, with expert insights and practical applications.
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.
HOMFLY Polynomials for Virtual Knots
Explore HOMFLY polynomials for virtual knots, delving into advanced concepts in quantum topology and knot theory.
Mathematics III
Explore advanced mathematical concepts including ODEs, improper integrals, series solutions, Bessel functions, Laplace transformations, and partial differential equations.