IMSA Courses

Tight Contact Structures on Hyperbolic 3-Manifolds - IMSA Topology Seminar

Exploring tight contact structures on hyperbolic 3-manifolds via Dehn surgery on genus one fibered knots in lens spaces, with insights on classification and Stein fillability.

• YouTube
• 1 hour 3 minutes
• Self-Paced
• Free Video

Quasipositive Surfaces and Decomposable Lagrangians in Topology - IMSA Seminar

Explore Legendrian links, knot Floer homology, and Lagrangian link cobordisms in topology. Learn about braiding techniques and the comultiplication property in this advanced mathematical seminar.

• YouTube
• 53 minutes
• Self-Paced
• Free Video

Linearized Instability for Neutral Functional Differential Equations with State-Dependent Delays

Lecture on linearized instability for neutral functional differential equations with state-dependent delays, presenting recent research findings in advanced mathematics.

• YouTube
• 46 minutes
• Self-Paced
• Free Video

An Introduction to Delay Differential Equations - Motivation and Applications

Explore delay differential equations, their applications, and open problems in this insightful lecture by Jacqueline Godoy Mesquita, offering a comprehensive introduction to this mathematical field.

• YouTube
• 49 minutes
• Self-Paced
• Free Video

Andras Szenes- Intersection Cohomology of the Moduli Spaces of Stable Bundle II

Exploration of intersection cohomology in moduli spaces of semistable bundles on Riemann surfaces, featuring new formulas for intersection Betti numbers and geometric insights.

• YouTube
• 1 hour 1 minute
• Self-Paced
• Free Video

Intersection Cohomology of the Moduli Spaces of Stable Bundle I

Explore intersection cohomology of semistable bundle moduli spaces on Riemann surfaces, including Decomposition Theorem analysis and new formula for intersection Betti numbers.

• YouTube
• 1 hour 1 minute
• Self-Paced
• Free Video

Symmetric Unions and Ribbon Knots

Explore symmetric unions in knot theory, focusing on ribbon knots. Learn about classification, composite types, and infinite families of ribbon knots that defy simple symmetric union diagrams.

• YouTube
• 1 hour 2 minutes
• Self-Paced
• Free Video

Generalized Calabi-Yau Problem

Explore advanced concepts in generalized complex geometry, focusing on holomorphically trivial generalized canonical bundles, Calabi-Yau structures, and the current status of the Calabi-Yau problem.

• YouTube
• 1 hour 16 minutes
• Self-Paced
• Free Video

Generalized Kaehler and Bihermitian Structures

Explore generalized Kaehler structures, their properties, and similarities to Kaehler case. Covers stability under deformations, Calabi-Yau problem, and period map in complex geometry.

• YouTube
• 1 hour 14 minutes
• Self-Paced
• Free Video

Mapping Spaces and E_2 Algebras

Explore mapping spaces, spectral sequences, and E_2 algebras in topology. Discover connections between configuration spaces, cochains, and factorization homology in this advanced mathematical lecture.

• YouTube
• 1 hour 1 minute
• Self-Paced
• Free Video

Danny Ruberman- Diffeomorphism Groups of 4-Manifolds

Exploring unique 4-dimensional phenomena: infinite families of homeomorphic but non-diffeomorphic manifolds, and exotic behavior in diffeomorphism and homeomorphism groups.

• YouTube
• 1 hour 4 minutes
• Self-Paced
• Free Video

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
• Self-Paced
• Conference Talk

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
• Self-Paced
• Conference Talk

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
• Self-Paced
• Conference Talk

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
• Self-Paced
• Conference Talk