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#Contact Geometry

Showing: 19 courses
Institute for Advanced Study

The H-Principle in Symplectic Geometry - Emmy Murphy

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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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12 Lesons
59 minutes
On-Demand
Free-Video
Institute for Advanced Study

On the Spatial Restricted Three-Body Problem - Agustin Moreno

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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.
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15 Lesons
1 hour 17 minutes
On-Demand
Free-Video
Institute for Advanced Study

Reflections on Cylindrical Contact Homology - Jo Nelson

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Explore cylindrical contact homology, its evolution, and recent developments in symplectic geometry with Jo Nelson's in-depth seminar on periodic orbits and obstruction bundles.
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15 Lesons
1 hour 6 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Introduction to Contact Geometry by Dheeraj Kulkarni

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Explore contact geometry fundamentals, including Frobenius theorem, contactomorphisms, and Gray stability theorem. Learn about symplectic structures and their relation to contact manifolds.
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20 Lesons
1 hour 27 minutes
On-Demand
Free-Video
IMSA

Fillable Contact Structures From Positive Surgery

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Exploring conditions for fillable contact structures from positive surgery on Legendrian knots, with applications to topological consequences and lens space surgeries.
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1 Lesons
1 hour 7 minutes
On-Demand
Free-Video
IMSA

Quasipositive Surfaces and Decomposable Lagrangians in Topology - IMSA Seminar

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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.
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1 Lesons
53 minutes
On-Demand
Free-Video
Conference GSI

From Alan Turing to Contact Geometry: Towards a Fluid Computer

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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.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Institut Henri Poincaré

Rabinowitz Floer Complex for Lagrangian Cobordisms

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Explore Lagrangian cobordisms in symplectization, examining SFT pseudo-holomorphic discs and A_∞ structures. Delve into continuation elements for transverse push-offs.
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1 Lesons
1 hour 14 minutes
On-Demand
Free-Video
NCCR SwissMAP

Nonequilibrium Thermodynamics as a Symplecto-Contact Reduction and Relative Information Entropy

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Explore nonequilibrium thermodynamics through symplecto-contact reduction and relative information entropy. Gain insights from Y. G Oh's research at IBS and Postech.
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1 Lesons
53 minutes
On-Demand
Free-Video
NCCR SwissMAP

Poincaré Series and Linking of Legendrian Knots

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Explore analytic techniques in dynamics and geometry, focusing on Poincaré series and linking of Legendrian knots with G. Rivière.
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1 Lesons
59 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Interplay Between Notions of Convexity in Complex, Symplectic and Contact Geometries

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Explore the interplay between convexity notions in complex, symplectic, and contact geometries. Gain insights into pseudo-convexity, rational convexity, and their geometric counterparts.
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32 Lesons
1 hour 3 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

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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.
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11 Lesons
59 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Quantitative Refinements of Conjectures in 3D Reeb Dynamics - Workshop on Conservative Dynamics and Symplectic Geometry

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Explore quantitative refinements of conjectures in 3D Reeb dynamics and related results. Delve into symplectic topology, Hamiltonian dynamics, and contact geometry with expert Umberto Hryniewicz.
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1 Lesons
58 minutes
On-Demand
Free-Video
Western Hemisphere Virtual Symplectic Seminar

Computing Embedded Contact Homology in the Morse-Bott Setting Using Cascades

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Explore embedded contact homology computation in Morse-Bott settings using cascades, with applications and gluing results for ECH calculations.
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1 Lesons
1 hour 13 minutes
On-Demand
Free-Video
Western Hemisphere Virtual Symplectic Seminar

A Connected Sum Formula of Embedded Contact Homology

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Explore la fórmula de suma conexa en homología de contacto incrustada, examinando el comportamiento de curvas pseudoholomorfas en simplectización bajo esta operación.
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1 Lesons
53 minutes
On-Demand
Free-Video
Western Hemisphere Virtual Symplectic Seminar

Circle Action of Microlocal Kernels

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Explore the construction of an S^1 action using microlocal kernels and its application in the sheaf theoretical proof of the contact non-squeezing theorem.
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1 Lesons
56 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Morse Type Theories with Differential Graded Coefficients - Workshop on Conservative Dynamics and Symplectic Geometry

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Explore Morse type theories with differential graded coefficients in this advanced mathematics lecture. Gain insights into Conservative Dynamics and Symplectic Geometry from expert Mihai Damian.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
Institute for Advanced Study

Exact Lagrangians in Cotangent Bundles with Locally Conformally Symplectic Structure

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Explore advanced concepts in locally conformally symplectic geometry, examining Lagrangian topology, Hamiltonian dynamics, and connections to contact geometry through theoretical frameworks and practical examples.
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1 Lesons
27 minutes
On-Demand
Free-Video
Institute for Advanced Study

Algebraic Torsion of Concave Boundaries of Linear Plumbings

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Delve into advanced symplectic geometry concepts, focusing on algebraic torsion in contact manifolds and its applications to understanding topological complexity through curve counting methods and Floer theories.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video