Khovanov Homology Courses and Certifications

Banach Center

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.

• YouTube
• 48 minutes
• On-Demand
• Free Video

Banach Center

Link Homology and How to Compute It - Part 2

Explore advanced techniques for computing link homology, building on foundational concepts to deepen understanding of topological invariants in knot theory.

• YouTube
• 51 minutes
• On-Demand
• Free Video

Banach Center

Link Homology and How to Compute It - Part 1

Explore link homology computation techniques and foundational concepts in this comprehensive mathematical lecture by Matt Hogancamp from Northeastern University.

• YouTube
• 48 minutes
• On-Demand
• Free Video

Banach Center

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.

• YouTube
• 49 minutes
• On-Demand
• Free Video

Banach Center

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.

• YouTube
• 58 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

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.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video

Joint Mathematics Meetings

Khovanov Homology and Surfaces in Four-Manifolds

Explore Khovanov homology, exotic smooth structures, and surfaces in four-manifolds. Discover applications in gauge theory and new approaches to longstanding mathematical problems.

• YouTube
• 53 minutes
• On-Demand
• Conference Talk

Banach Center

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.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

Institut Henri Poincaré

Khovanov Homology and the Cinquefoil

Explore Khovanov homology's detection of the (2,5) torus knot through advanced Floer homology and recent developments in knot theory.

• YouTube
• 59 minutes
• On-Demand
• Free Video

QuantumTopology

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.

• YouTube
• 1 hour 28 minutes
• On-Demand
• Free Video

QuantumTopology

Khovanov Homology for Knots in Thickened Torus

Explore Khovanov homology for knots in thickened torus, delving into advanced topological concepts and their applications in quantum topology.

• YouTube
• 1 hour 35 minutes
• On-Demand
• Free Video

IMSA

Low Dimensional Topology & Circle-valued Morse Functions

Explore tangle decompositions in knot theory, focusing on Khovanov homology and immersed curves. Learn how these concepts aid in investigating cosmetic surgery and crossing conjectures.

• YouTube
• 57 minutes
• On-Demand
• Conference Talk

QuantumTopology

Knot Invariants Arising from Homological Operations on Khovanov Homology

Explore advanced knot theory through homological operations on Khovanov homology, uncovering new invariants and their applications in quantum topology.

• YouTube
• 50 minutes
• On-Demand
• Free Video

ICTP Mathematics

Classification of Link Floer and Khovanov Multicurve Invariants

Explore the classification of link Floer and Khovanov multicurve invariants in topology, presented by Claudius Zibrowius from the University of Regensburg.

• YouTube
• 53 minutes
• On-Demand
• Free Video

ICTP Mathematics

Khovanov Homology and Strongly Invertible Knots

Explore Khovanov homology's applications to strongly invertible knots, uncovering new insights in knot theory and topology.

• YouTube
• 50 minutes
• On-Demand
• Free Video