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#Lagrangian Submanifolds

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M-Seminar, Kansas State University

Superabundance and Unobstructedness in Lagrangian Torus Fibrations - Lecture

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Explore the concept of Lagrangian realization in tropical geometry through this M-Seminar talk by Jeff Hicks from the University of Edinburgh. Delve into the relationship between tropical curves in the base of a Lagrangian torus fibration and their corre…
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1 Lesons
1 hour 14 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

The Completion of the Space of Lagrangian Submanifolds for the Spectral Metric

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Explore the spectral metric on Lagrangian spaces, its completion, and connections to symplectic topology and sheaf theory through quantization.
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1 Lesons
48 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

The Humilière Completion and Its Applications in Symplectic Geometry

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Explore the Humilière completion of Lagrangian spaces, its spectral distance study, and applications in conformal dynamics, singular Hamiltonian systems, and sheaf theory.
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1 Lesons
1 hour 6 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
IMSA

Basic Remarks on Lagrangian Submanifolds of Hyper-Kähler Manifolds

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Explore properties of Lagrangian subvarieties in hyper-Kähler manifolds, focusing on their interaction with Lagrangian fibrations and albanese dimension of Lagrangian surfaces.
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1 Lesons
1 hour 2 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
Hausdorff Center for Mathematics

Introduction to Fukaya Categories - James Pascaleff

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Explore Floer cohomology and Fukaya category fundamentals, including Lagrangian intersection theory, Floer differential, A∞ operations, and Gromov compactification in symplectic geometry.
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1 Lesons
1 hour 10 minutes
On-Demand
Free-Video
IMSA

Remarks on Lagrangian Submanifolds of Hyper-Kaehler Manifolds

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Explore properties of Lagrangian subvarieties in hyper-Kaehler manifolds, focusing on interactions with Lagrangian fibrations and albanese dimension of Lagrangian surfaces.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
IMSA

Functorial Construction of Lagrangian Floer Theory and Its Possible Applications

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Explore functorial construction of Lagrangian Floer theory and its potential applications in symplectic geometry with renowned mathematician Kenji Fukaya from Stony Brook University.
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1 Lesons
51 minutes
On-Demand
Free-Video
M-Seminar, Kansas State University

Skein Valued Open Gromov-Witten Invariants and Cluster Mutations

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Explore skein-valued open Gromov-Witten invariants and cluster theory for Lagrangians in C^3, including wavefunctions, computations, and a skein-valued dilogarithm with pentagon relation.
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1 Lesons
1 hour 21 minutes
On-Demand
Free-Video
M-Seminar, Kansas State University

Counting Holomorphic Disks with Boundary on the Chiang Lagrangian

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Explore open Gromov-Witten invariants and holomorphic disks on the Chiang Lagrangian, examining periodic behaviors and arithmetic structures in open WDVV equations.
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1 Lesons
1 hour 20 minutes
On-Demand
Free-Video
M-Seminar, Kansas State University

Arclike Lagrangians in Liouville Sectors

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Explore arclike Lagrangians in Liouville sectors, examining their behavior across subsector boundaries and potential for explicit local-to-global analysis in wrapped Fukaya categories.
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1 Lesons
1 hour 15 minutes
On-Demand
Free-Video
Western Hemisphere Virtual Symplectic Seminar

Invariance of Floer Cohomology Under Higher Mutation

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Explore higher mutations in monotone toric fibers and their impact on Floer cohomology. Delve into locally mutable Lagrangians and neck-stretching techniques to understand invariance under local system changes.
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1 Lesons
59 minutes
On-Demand
Free-Video
Western Hemisphere Virtual Symplectic Seminar

Open/Closed Correspondence and Mirror Symmetry in Gromov-Witten Theory

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Explore open/closed correspondence in Gromov-Witten theory, examining numerical invariants, generating functions, and compatibility with mirror symmetry in toric Calabi-Yau manifolds.
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20 Lesons
52 minutes
On-Demand
Free-Video
Institut Henri Poincaré

Tropical Fukaya Algebras

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Explore multiple cut operations on symplectic manifolds and their impact on curve count-based invariants, focusing on Fukaya algebras and tropical graph representations.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Stony Brook Mathematics

Chain Level String Bracket and Punctured Holomorphic Discs

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Explore Audin's conjecture and its generalization to Liouville manifolds. Discover connections between holomorphic discs and string topology operations, focusing on chain level string brackets.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
BIMSA

Skein Valued Counts of Open Curves in Calabi-Yau Threefolds

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Explore holomorphic curve counting in Calabi-Yau threefolds using HOMFLYPT skein module, examining deformation invariance and recursion relations in non-compact cases.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
BIMSA

Categorification of Lagrangian Floer Theory and Its Relation to Various Mathematics

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Explore categorification of Lagrangian Floer theory and its connections to diverse mathematical fields with renowned mathematician Kenji Fukaya.
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1 Lesons
57 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
Prague Mathematical Physics Seminar

Deformations of Lagrangian NQ Submanifolds

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Dive into advanced mathematical concepts exploring deformations of Lagrangian NQ submanifolds and their theoretical implications in mathematical physics.
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1 Lesons
1 hour 11 minutes
On-Demand
Free-Video