ICTP Mathematics Courses

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

Monopoles and Seidel's Spectral Sequence

Explore monopoles and Seidel's spectral sequence in this advanced mathematics lecture, delving into cutting-edge research in geometry and topology.

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

Surfaces in Four-Manifolds

Explore the fascinating world of surfaces in four-manifolds, delving into advanced geometric and topological concepts with expert insights from Andras Stipsicz.

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

Spectral Order Invariant as Obstruction to Stein Fillability

Explore the role of spectral order invariant in obstructing Stein fillability, delving into advanced concepts in geometry and topology.

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

Colored sl-N Homology and SU-N Representations of the Trefoil

Explore colored sl(N) homology and SU(N) representations of the trefoil knot in this advanced mathematical lecture on topology and geometry.

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

Unknotting Number and Cabling

Explore the mathematical concepts of unknotting number and cabling in knot theory, delving into advanced geometric and topological research frontiers.

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

Heegaard Floer Homology and Topology in Dimensions 3.5 - 3

Explore Heegaard Floer homology and its applications in low-dimensional topology, focusing on dimensions between 3 and 3.5 in this advanced mathematical lecture.

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

Generalized Seiberg-Witten Equations

Explore advanced mathematical concepts in geometry and topology, focusing on generalized Seiberg-Witten equations and their applications in theoretical physics and differential geometry.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

Geometry and Algebra of Pseudoholomorphic Curves

Explore advanced concepts in geometry and topology, focusing on pseudoholomorphic curves and their applications in mathematical research and analysis.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

Lattices in Low-Dimensional Topology

Explore advanced concepts in low-dimensional topology, focusing on lattice structures and their applications in geometric and topological analysis.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

Generalized Seiberg-Witten Equations

Explore advanced mathematical concepts in geometry and topology, focusing on generalized Seiberg-Witten equations. Gain insights from expert Thomas Walpuski in this comprehensive lecture.

• YouTube
• 1 hour 34 minutes
• On-Demand
• Free Video

Lattices in Low-Dimensional Topology

Explore advanced concepts in low-dimensional topology, focusing on lattice structures and their applications in geometric and topological analysis.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video

Heegaard Floer Homology and Topology in Dimensions 3.5 - 2

Explore Heegaard Floer homology and its applications in low-dimensional topology, focusing on dimensions between 2 and 3.5 with expert Jen HOM.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video

Lattices in Low-Dimensional Topology

Explore the fascinating intersection of lattice theory and low-dimensional topology, delving into fundamental concepts and their applications in geometric and topological structures.

• YouTube
• 1 hour 32 minutes
• On-Demand
• Free Video

Families of Dirac Operators and Applications

Explore advanced concepts in geometry and topology, focusing on families of Dirac operators and their applications in mathematical physics and differential geometry.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video