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Mathematics
Symplectic Geometry

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Symplectic Geometry Courses and Certifications

Explore the foundations of symplectic geometry, including shifted structures, Teichmueller spaces, and connections to gauge theory and quantization. Learn from leading mathematicians through accessible YouTube lectures, ideal for beginners interested in advanced geometry and mathematical physics.

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Tobias Osborne
Symplectic Geometry and Classical Mechanics

Explore the mathematical foundations connecting symplectic geometry with classical mechanics through comprehensive lectures covering geometric structures and physical applications.
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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.
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Symplectic Dynamics and Geometry Seminar

Explore advanced topics in symplectic geometry through expert lectures on Jordan loops, sub-Riemannian geometry, contact topology, and Floer cohomology from leading researchers.
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Fields Institute
Symplectic Geometry

Master symplectic manifolds, Darboux theorem, Hamiltonian mechanics, moment maps, and advanced topics like toric varieties, quantization, and mirror symmetry in this comprehensive mathematical framework.
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Institute for Advanced Study
The H-Principle in Symplectic Geometry - Emmy Murphy

Explore symplectic geometry's h-principle with Emmy Murphy, covering equivalence relations, subharmonic functions, and contact structures in this advanced mathematical seminar.
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Instituto de Matemática Pura e Aplicada
Conservative Dynamics and Symplectic Geometry Workshop 2023

Explore advanced topics in conservative dynamics and symplectic geometry through expert lectures covering Hamiltonian dynamics, contact geometry, integrable systems, and Aubry-Mather theory.
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Fields Institute
Symplectic Geometry - Class 21

Explore advanced concepts in symplectic geometry with Professor Ben Webster, delving into complex mathematical theories and their applications in this comprehensive lecture.
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Fields Institute
Symplectic Geometry - Class 20

Explore advanced concepts in symplectic geometry with Professor Ben Webster, delving into complex mathematical theories and their applications in this comprehensive lecture.
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IMSA
Generalized Complex Branes, Doubling, and Shifted Symplectic Geometry, Part I

Explore symplectic approaches to generalized complex geometry, focusing on brane construction and implications for Kaehler geometry. Delve into shifted symplectic geometry and homotopy complex structures.
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IMSA
Generalized Complex Branes, Doubling, and Shifted Symplectic Geometry, Pt II

Explore symplectic approaches to generalized complex geometry, focusing on brane construction and implications for generalized Kaehler geometry. Delve into shifted symplectic geometry and homotopy complex structures.
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IMSA
Nonrational Toric Geometry I - Symplectic Toric Quasifolds Minicourse

Explore symplectic toric quasifolds, generalizing toric varieties to non-rational polytopes. Learn about quasilattices, quasirationality, and quasitori through examples like quasispheres and Penrose tilings.
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Fields Institute
Symplectic Geometry of Teichmueller Spaces for Surfaces with Boundary - Lecture 2

Explore symplectic geometry of Teichmueller spaces for surfaces with boundary in this advanced mathematics lecture by Eckhard Meinrenken, part of a workshop on operator algebras and non-commutative geometry.
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Fields Institute
Symplectic Geometry of Teichmueller Spaces for Surfaces with Boundary - Lecture 3

Explore symplectic geometry of Teichmueller spaces for surfaces with boundary in this advanced mathematics lecture by Eckhard Meinrenken, part of a workshop on operator algebras and non-commutative geometry.
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- 57 minutes
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Fields Institute
Symplectic Geometry and Quantization - Blitz Session

Explore advanced topics in symplectic geometry and quantization through four concise talks on stratified quantization, complex Lagrangian Grassmannians, integral Chang-Skjelbred computations, and symplectic circle actions.
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Institut des Hautes Etudes Scientifiques (IHES)
A-Infinity Functor in Symplectic Geometry and Gauge Theory

Explore advanced concepts in Floer theory, focusing on representability of A-infinity functors in symplectic geometry and gauge theory applications.
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