Introduction to Koszul Duality - Part 3
Explore advanced concepts of Koszul duality, delving into its applications and theoretical foundations in algebraic topology and homological algebra.
Introduction to Koszul Duality - Part 2
Explore advanced concepts of Koszul duality, building on previous knowledge and delving into complex mathematical theories and applications.
Introduction to Koszul Duality - Part 1
Explore Koszul duality fundamentals with Vladimir Dotsenko, delving into algebraic structures and homological algebra concepts.
Knot Quantum Invariants, Graphs, and Combinatorics - Part 3
Explore advanced concepts in knot theory, focusing on quantum invariants, graph theory, and combinatorial techniques. Delve into intricate mathematical relationships.
A Tour of Monopole Floer Spectra - Part 3
Explore advanced concepts in monopole Floer spectra, delving into complex mathematical theories and their applications in topology and geometry.
Link Homology and How to Compute It - Part 4
Explore advanced concepts in link homology computation, focusing on cutting-edge techniques and theoretical foundations presented by Matt Hogancamp from Northeastern University.
A Tour of Monopole Floer Spectra - Part 2
Explore advanced concepts in monopole Floer spectra, delving into mathematical intricacies and theoretical applications in topology and geometry.
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.
Knot Quantum Invariants, Graphs, and Combinatorics - Part 1
Explore quantum knot invariants, their connections to graph theory, and combinatorial applications in this advanced mathematical lecture.
A Tour of Monopole Floer Spectra - Part 1
Explore monopole Floer spectra theory with insights from Matthew Stoffregen of Michigan State University in this comprehensive mathematical lecture.
Categorification of Quantum Invariants: From Knots to 3-Manifolds - Part 1
Explore categorification of quantum invariants, focusing on knots and 3-manifolds. Delve into advanced mathematical concepts with expert Sergei Gukov from Caltech and Dublin IAS.
Knots-Quivers Correspondence: Generalizations and Combinatorics
Explore knots-quivers correspondence, its extensions, and applications in enumerative combinatorics, including lattice paths and Schröder paths counting.
Detecting Positivity from Link Homology
Explore Khovanov homology's applications in detecting link positivity and its extension to fibered positive links and L-space knots.
On the Structure of Skein Modules
Explore Kauffman bracket skein modules, examining conjectures and theorems. Discover counterexamples and new insights into the structure of these modules in 3-manifolds.
Bordered Floer Theory, Hochschild Homology, and Links in S^1 × S^2
Explore spectral sequences linking Khovanov homology to Heegaard Floer homology and their analogues for links in S^1×S^2, involving bordered Floer theory and Hochschild homology.
Algebras for Knots and Their Connections to Quiver Yangians
Explore quiver Yangian algebras, their representations, and connections to knots through the knot-quiver correspondence and gluing construction.
How Many Quivers Does a Knot Have? - Knots-Quivers Correspondence and Symmetries
Explore knots-quivers correspondence, equivalent quivers classification, and implications for symmetric quiver invariants in knot theory.
Knots, Topological Strings and Quivers
Explore knot invariants, their role in topological string theory, and the knot-quiver correspondence in advanced mathematical physics.
Detecting Corks Using Heegaard Floer Homology
Explore Heegaard Floer homology's role in detecting corks and discover new examples addressing Gompf's question in 4-manifold exotic smooth structures.
Z-Disks in CP^2 - Enumeration and Boundary Knot Analysis
Explore locally flat Z-disks in CP^2, focusing on enumeration and boundary conditions. Gain insights into topological isotopy and related smooth category problems.
L-space Links and Formality
Explore L-space links in knot theory, focusing on the link Floer complex for plumbed and 2-component L-space links, with applications to Heegaard Floer theory.