Cotangent Bundles Courses and Certifications

Institute for Advanced Study

Floer Homology with DG Coefficients - Applications to Cotangent Bundles

Explore Floer homology with DG coefficients and its applications to cotangent bundles. Gain insights into symplectic geometry and dynamical systems through advanced mathematical concepts.

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

BIMSA

Symplectic Singularities Arising from Cotangent Bundles

Explore symplectic singularities emerging from cotangent bundles in this advanced mathematical presentation by Baohua Fu at ICBS2025.

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

Institute for Advanced Study

Exact Lagrangians in Cotangent Bundles with Locally Conformally Symplectic Structure

Explore advanced concepts in locally conformally symplectic geometry, examining Lagrangian topology, Hamiltonian dynamics, and connections to contact geometry through theoretical frameworks and practical examples.

• YouTube
• 27 minutes
• 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

Institut des Hautes Etudes Scientifiques (IHES)

Local Systems and Higgs Bundles in p-adic Geometry

Explore the algebraic nature of local systems and Higgs bundles in p-adic geometry, drawing parallels to complex varieties and characteristic p counterparts.

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

Centre de recherches mathématiques - CRM

Bi-Hamiltonian Structures of Spin Sutherland Models from Poisson Reduction

Explore bi-Hamiltonian structures of spin Sutherland models through Poisson reduction. Examine compatible Poisson brackets on cotangent bundles and their reductions, revealing new insights into integrable systems.

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

IMSA

Commuting Pairs of Generalized Structures, Para-Hyper-Hermitian and Born Geometry

Explore generalized structures on manifolds, focusing on commuting pairs and their integrability. Delve into para-hyper-Hermitian and Born geometry within this context.

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

Institute for Advanced Study

Morse Theory of Loop Spaces and Hecke Algebras

Delve into Morse Theory of Loop Spaces and Hecke Algebras with Roman Krutowski as he presents a Morse-theoretic model for computing HDHF A∞-algebra of cotangent bundles in symplectic geometry.

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

Institute for Advanced Study

Hecke Algebras Via Morse Theory of Loop Spaces

Explore advanced symplectic geometry through Morse theory applications to loop spaces and higher-dimensional Heegaard Floer homology computations.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Infinite-dimensional Symplectic Geometry - Part 2

Delve into advanced mathematical concepts of integrable systems, Poisson structures, and symplectic geometry, focusing on reductions of master systems and their applications in Lie groups.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Infinite-dimensional Symplectic Geometry - Part 1

Delve into advanced mathematical concepts of integrable systems, classical doubles, and Poisson structures in infinite-dimensional symplectic geometry, focusing on semisimple Lie groups and cotangent bundles.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Integrable Hamiltonian Systems from Poisson Reductions of Doubles - Part 1

Delve into advanced mathematical concepts of integrable Hamiltonian systems, exploring Poisson reductions, classical doubles, and their applications in semisimple Lie groups and cotangent bundles.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Infinite-dimensional Symplectic Geometry - Part 3

Delve into advanced concepts of infinite-dimensional symplectic geometry, focusing on quasi-Poisson doubles, SU(n) examples, and trigonometric Ruijsenaars-Schneider systems in mathematical physics.

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

Institute for Advanced Study

Homotopy Rigidity of Nearby Lagrangian Cocores

Explore homotopy rigidity of nearby Lagrangian cocores in cotangent bundles, focusing on exact Lagrangian fillings and smooth isotopy results in subcritical Weinstein manifolds.

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

SCI MUNI

Induced Para-Kähler-Einstein Metrics on Cotangent Bundle

Delve into para-Kähler-Einstein metrics and their applications on cotangent bundles through an advanced mathematical exploration of geometric structures and metric properties.

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