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#Symplectic Manifolds

Showing: 18 courses
Institute for Advanced Study

Relative Symplectic Cohomology of Pairs

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Explore relative symplectic cohomology of pairs, its properties, and applications in symplectic rigidity phenomena. Gain insights into this generalized invariant for subsets in symplectic manifolds.
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1 Lesons
54 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Waists, Widths and Symplectic Embeddings

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Explore geometric measures of manifolds and their applications to symplectic embeddings. Discover area estimates for minimal submanifolds and quantitative symplectic camels in this advanced mathematics talk.
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11 Lesons
24 minutes
On-Demand
Free-Video
IMSA

Homological Mirror Symmetry - Lagrangian SYZ Fibrations

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Explore Lagrangian SYZ fibrations in symplectic geometry, focusing on integral affine manifolds with singularities and the construction of local models and gluing techniques.
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14 Lesons
1 hour 2 minutes
On-Demand
Free-Video
International Mathematical Union

Real Gromov-Witten Theory

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Survey of recent developments in real Gromov-Witten theory, covering construction challenges, structural results, and connections to physics. Explores moduli spaces, invariants, and enumerative geometry.
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12 Lesons
44 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Introduction to Fukaya Categories - James Pascaleff

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Explore symplectic geometry fundamentals for Fukaya categories, covering symplectic manifolds, Lagrangian submanifolds, exactness conditions, and more in this comprehensive lecture.
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12 Lesons
1 hour 17 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

Open-Relative Correspondence and Topological Recursion

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Explore the connection between open Gromov-Witten invariants and relative Gromov-Witten invariants in symplectic geometry, and their relation to topological recursion.
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1 Lesons
1 hour
On-Demand
Free-Video
Hausdorff Center for Mathematics

Introduction to Fukaya Categories - James Pascaleff

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Explore examples of Fukaya categories, focusing on surfaces and potentially other cases, building upon previous lectures on symplectic geometry and Floer cohomology.
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1 Lesons
1 hour 9 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Prospects for Spectral Mirror Symmetry

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Explore advanced Fukaya categories, spectral ring coefficients, and mirror symmetry in symplectic geometry. Delve into cutting-edge research on generalizing Lagrangian Floer theory.
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1 Lesons
1 hour 7 minutes
On-Demand
Free-Video
Conference GSI

TRANSVERSE POISSON STRUCTURES TO ADJOINT ORBITS IN A COMPLEX SEMI-SIMPLE LIE ALGEBRA

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Explore transverse Poisson structures in complex semi-simple Lie algebras, focusing on adjoint orbits and their nilpotent cases. Discover determinantal formulas and quasihomogeneous polynomials in this advanced mathematical topic.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Conference GSI

The Momentum Mapping of the Affine Real Symplectic Group

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Explore the momentum mapping of the affine real symplectic group, delving into its mathematical properties and applications in geometric analysis.
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1 Lesons
23 minutes
On-Demand
Free-Video
Western Hemisphere Virtual Symplectic Seminar

The Z/p Gysin Sequence in Symplectic Cohomology

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Explore Z/p-equivariant symplectic cohomology and its Gysin sequence, connecting S^1 and Z/p versions. Discover applications to Seidel's conjecture on localized S^1-equivariant symplectic cohomology.
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8 Lesons
49 minutes
On-Demand
Free-Video
ICTP Mathematics

The Liouville Current and Complex Structures for Hitchin Representations - F. Labourie

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Explore Hitchin representations, Liouville currents, and complex structures in this advanced mathematics lecture, covering theorems, symplectic manifolds, and modular space vibrations.
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15 Lesons
49 minutes
On-Demand
Free-Video
IMSA

Homological Mirror Symmetry - Non-Holomorphic Deformations of Landau-Ginzburg

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Explore non-holomorphic deformations of Landau-Ginzburg models, examining derived moduli spaces, Frobenius manifold structures, and Gromov-Witten invariants in symplectic geometry.
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1 Lesons
54 minutes
On-Demand
Free-Video
Bogolyubov Institute for Theoretical Physics

Локалізаційне обчислення інтегралів на симплектичних многовидах

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Dive into advanced mathematical physics concepts focusing on computing integrals over symplectic manifolds, Duistermaat-Heckman theorem, and its applications to instanton moduli spaces.
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1 Lesons
2 hours 12 minutes
On-Demand
Free-Video
Institute for Advanced Study

Relative Symplectic Cohomology of Pairs

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Delve into advanced symplectic geometry concepts, focusing on relative symplectic cohomology's extension to subset pairs and its applications in demonstrating new symplectic rigidity phenomena.
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1 Lesons
28 minutes
On-Demand
Free-Video
M-Seminar, Kansas State University

The Exponential Type Conjecture for Quantum Connections

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Delve into quantum connections and formal singularity types, exploring the exponential type conjecture proof for closed monotone symplectic manifolds through mod p arguments and Katz's theorem.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
Institute for Advanced Study

Anchored Symplectic Embeddings and Non-Squeezing Phenomena in Four Dimensions

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Delve into advanced symplectic geometry, exploring non-squeezing phenomena, Markov numbers, and the relationship between symplectic embeddings and surface anchors in four-dimensional spaces.
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1 Lesons
1 hour
On-Demand
Free-Video