Symplectic Topology Courses and Certifications

Centre International de Rencontres Mathématiques

Moduli Spaces in Symplectic Topology and Gauge Theory

Explore advanced symplectic topology and gauge theory through moduli spaces, covering Floer theory, holomorphic curves, and contact homology with leading experts.

• YouTube
• 8 hours 41 minutes
• On-Demand
• Free Video

BIMSA

Symplectic Topology, Stability Conditions and Quadratic Differentials

Explore connections between symplectic topology, stability conditions, and quadratic differentials in Fukaya categories and mapping class groups.

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

BIMSA

Symplectic Topology, Stability Conditions and Quadratic Differentials

Explore connections between symplectic topology, stability conditions, and quadratic differentials in Fukaya categories and mapping class groups.

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

Centre de recherches mathématiques - CRM

Big Fiber Theorems, Ideal-Valued Measures, and Symplectic Topology

Explore Polterovich's adaptation of Gromov's ideal-valued measures to symplectic topology, examining three 'big fiber theorems' and their applications to symplectic rigidity.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video

University of Chicago Department of Mathematics

Cotangent Bundles and the Hopf Map - Symplectic Topology 40 Years After Floer - Lecture 1

Explore symplectic topology's evolution from Poincaré to modern homotopy theory methods, focusing on cotangent bundles, Hopf maps, and Lagrangian submanifolds.

• YouTube
• 1 hour 9 minutes
• On-Demand
• Free Video

Institute for Advanced Study

Knot Types of Periodic Reeb Orbits and Their Role in 4-Dimensional Symplectic Topology

Explore knot types of periodic Reeb orbits in 4-dimensional symplectic topology and their constraints under dynamical convexity assumptions.

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

Institut des Hautes Etudes Scientifiques (IHES)

Holomorphic Floer Theory and Resurgence - Part 1 of 3

Explore holomorphic Floer theory and its connection to resurgence, examining analytic wall-crossing structures and the generalized Riemann-Hilbert correspondence in symplectic topology.

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

Institut des Hautes Etudes Scientifiques (IHES)

Holomorphic Floer Theory and Resurgence - Lecture 2

Explore holomorphic Floer theory and its connection to resurgence, examining the Riemann-Hilbert correspondence and its implications for perturbative expansions in mathematics and physics.

• YouTube
• 1 hour 16 minutes
• On-Demand
• Free Video

Simons Semester on Dynamics

On the Algebraic Structure of Groups of Area-Preserving Homeomorphisms - Lecture 3

Explore the algebraic structure of area-preserving homeomorphism groups, focusing on Fathi's question and the simplicity conjecture for compact surfaces. Delve into link spectral invariants and their role in solving these problems.

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

Simons Semester on Dynamics

On the Algebraic Structure of Groups of Area-Preserving Homeomorphisms - Lecture 2

Explore the algebraic structure of area-preserving homeomorphism groups, focusing on Fathi's question and the simplicity conjecture for compact surfaces. Discover link spectral invariants and their role in solving this problem.

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

Simons Semester on Dynamics

On the Algebraic Structure of Groups of Area-Preserving Homeomorphisms - Lecture 1

Explore the algebraic structure of area-preserving homeomorphism groups, focusing on Fathi's question and the simplicity conjecture for compact surfaces. Gain insights into link spectral invariants and their role in solving this problem.

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

Institute for Advanced Study

From Symplectic Weyl Laws to Homeomorphism Groups and Beyond

Explore how Floer theory and symplectic topology reveal the non-simplicity of area-preserving homeomorphism groups, extending classical invariants to continuous settings.

• YouTube
• 1 hour 13 minutes
• On-Demand
• Free Video

Prague Mathematical Physics Seminar

Lagrangian Concordance is Not a Partial Order

Delve into advanced mathematical concepts exploring why Lagrangian concordance fails to establish a partial order, with detailed proofs and theoretical foundations.

• YouTube
• 1 hour 14 minutes
• On-Demand
• Free Video

Centre International de Rencontres Mathématiques

Recent Progress on Groups of Area-Preserving Homeomorphisms

Delve into recent advances in area-preserving homeomorphism groups, exploring (non)-simplicity, quasimorphisms, and symplectic topology through collaborative mathematical research findings.

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

University of Chicago Department of Mathematics

Symplectic Manifolds and Derived Orbifolds - Lecture 3

Explore symplectic manifolds and derived orbifolds in this advanced geometry lecture, examining 40 years of developments since Floer's groundbreaking work in symplectic topology.

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