Low-Dimensional Topology Courses and Certifications

NCCR SwissMAP

Transverse Intersection Algebra and Fractional Linking

Explore transverse intersection algebra and fractional linking concepts in low-dimensional topology through advanced homological and quantum methods.

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

ICTP Mathematics

Advanced School on Geometric Group Theory and Low-Dimensional Topology - Recent Connections and Advances

Explore cutting-edge connections between geometric group theory and low-dimensional topology through advanced lectures on virtually special groups, hyperbolic manifolds, and Teichmuller theory.

• YouTube
• 22 hours 54 minutes
• On-Demand
• Free Video

IMSA

Low Dimensional Topology and Circle-valued Morse Functions

1 review

Explore taut foliations in 3-manifolds with Heegaard genus two, examining the connection between left-orderable fundamental groups and co-orientable taut foliations in closed, orientable, irreducible 3-manifolds.

• YouTube
• 1 hour
• On-Demand
• Conference Talk

ICTP Mathematics

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

IMSA

Gauge Theory and Low Dimensional Topology - Conference Lecture

Explore gauge theory and low-dimensional topology with expert insights from Paul Feehan in this engaging 48-minute conference talk at the University of Miami.

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

IMSA

Gauge Theory and Low Dimensional Topology

Explore gauge theory and low-dimensional topology with insights from MIT expert Tom Mrowka in this conference talk at the University of Miami.

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

IMSA

Low Dimensional Topology and Circle-Valued Morse Functions

Explore thin position theory for knots, links, and graphs, and its applications to width, tunnel number, and bridge number in topology. Learn about "cut"-incompressible surfaces and additivity of knot invariants.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Conference Talk

IMSA

Low Dimensional Topology and Circle-Valued Morse Functions

Explore Morse normal form for branched surfaces and its application in constructing taut foliations, building on Charles Delman's work. Gain insights into advanced topics in low-dimensional topology.

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

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

IMSA

Low Dimensional Topology and Circle-valued Morse Functions

Explore representations in Homeo_+(S^1) and their role in verifying left-orderability of 3-manifold groups, with applications to the L-space conjecture and taut foliations in various topological settings.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Conference Talk

IMSA

Low Dimensional Topology and Circle-valued Morse Functions

Explore the Margulis constant in hyperbolic geometry, its significance, and ongoing research to determine its precise value through computational methods and theoretical analysis.

• YouTube
• 1 hour 1 minute
• On-Demand
• Conference Talk

IMSA

Low Dimensional Topology and Circle-Valued Morse Functions

Exploración de límites en el número de asas de variedades suturadas, utilizando argumentos geométricos y desarrollando una función de número de asas en homología de segundo grado.

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

IMSA

Low Dimensional Topology - Flipping Heegaard Splittings

Explore Heegaard splittings in topology, focusing on oriented isotopy of splitting surfaces and the possibility of "flipping" sides. Examine contexts, examples, and implications in this advanced mathematical discussion.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Conference Talk

IMSA

Low Dimensional Topology and Circle-valued Morse Functions

Explore applications of guts in 3-manifolds, including minimal volumes of hyperbolic manifolds and Euler characteristic control in Dehn fillings. Gain insights into advanced topological concepts and their implications.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Conference Talk

IMSA

Low Dimensional Topology and Circle-Valued Morse Functions

Explore knot complements, Seifert surfaces, and sutured manifolds in low-dimensional topology. Discover unique decompositions and their implications for the Kakimizu complex and Thurston norm.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Conference Talk