Contact Geometry Courses and Certifications

Institute for Advanced Study

Systolic Inequalities for S1-invariant Contact Forms in Three-Dimensional Geometry

Delve into advanced contact geometry concepts, focusing on systolic inequalities and their relationship with S1-invariant contact forms in three-dimensional manifolds.

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

Conference GSI

From Alan Turing to Contact Geometry: Towards a Fluid Computer

Explore the intersection of hydrodynamics, computation, and contact geometry. Discover how fluid dynamics can simulate universal Turing machines and its implications for undecidable fluid paths and celestial mechanics.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Utrecht Geometry Centre

Geometry, Mechanics, and Control - Young Researchers Workshop

Explore advanced topics in differential geometry, optimal control theory, and mathematical physics through expert lectures on Pontryagin principles, contact manifolds, and Hamiltonian systems.

• YouTube
• 9 hours 47 minutes
• On-Demand
• Free Video

Institut Henri Poincaré

A Few Properties of Besse Contact Manifolds

Explore properties of Besse contact manifolds, including their relation to rational ellipsoids and systolic optimality in various dimensions.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

BIMSA

Open Book Decompositions and Contact Topology

Explore open book decompositions and their fundamental connections to contact topology through advanced mathematical analysis and geometric structures.

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

Institute for Advanced Study

On Certain C0-Aspects of Contactomorphism Groups

Explore C0-rigidity and flexibility in contact transformations, examining contact squeezing phenomena and new conjugation-invariant norms in contactomorphism groups.

• YouTube
• 1 hour 10 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Introduction to Contact Geometry by Dheeraj Kulkarni

Explore contact geometry fundamentals, including Frobenius theorem, contactomorphisms, and Gray stability theorem. Learn about symplectic structures and their relation to contact manifolds.

• YouTube
• 1 hour 27 minutes
• On-Demand
• Free Video

BIMSA

Noncommutative Geometry and Semiclassical Analysis - Applications in Contact and Sub-Riemannian Geometry

Explore bridges between semiclassical analysis and noncommutative geometry, with applications to contact and sub-Riemannian geometry including Weyl's laws.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

On Fillings of Contact Links of Isolated Quotient Singularities - Workshop on Conservative Dynamics and Symplectic Geometry

Explore fillings of contact links in isolated quotient singularities. Delve into strong and exact fillings, tight criteria, terminal singularities, and orbifold symplectic cohomology in this advanced mathematics lecture.

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

INI Seminar Room 2

When Fokker-Planck Meets Contact Geometry in Thermodynamics

Explore the intersection of Fokker-Planck equations and contact geometry in thermodynamics through advanced mathematical analysis and applications.

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

IMSA

Almost Schur Lemma and Positivity Conditions in Quaternionic Contact Geometry

Explore quaternionic contact geometry, focusing on the Almost Schur Lemma and its implications for estimating qc scalar curvature under specific conditions.

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

MUNI Seminar Series

Lorentz Geometry and Contact Topology in Spacetime

Explore the intersection of Lorentz geometry and contact topology, examining light rays in spacetime and their implications for causality and global rigidity.

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

Institute for Advanced Study

Symplectic Geometry Seminar

Explore advanced symplectic geometry through expert lectures covering Floer theory, contact topology, Hamiltonian dynamics, and mirror symmetry from leading researchers.

• YouTube
• 5 days 18 hours 24 minutes
• On-Demand
• Free Video

Institute for Advanced Study

Workshop on the H-Principle and Beyond

Explore advanced mathematical concepts through expert lectures on h-principle theory, differential geometry, fluid dynamics, and symplectic structures in this comprehensive workshop.

• YouTube
• 19 hours 32 minutes
• On-Demand
• Free Video

Institute for Advanced Study

On the Spatial Restricted Three-Body Problem - Agustin Moreno

Explore the spatial restricted three-body problem, global hypersurfaces, and Hamiltonian return maps. Learn about a higher-dimensional Poincaré-Birkhoff theorem and its applications to orbital dynamics.

• YouTube
• 1 hour 17 minutes
• On-Demand
• Free Video