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#Symplectic Topology

Showing: 19 courses
Institute for Advanced Study

Equivariant Symplectic Homology - Ekeland-Hofer Capacities and Gutt-Hutchings Capacities

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Explore the connection between Ekeland-Hofer and Gutt-Hutchings capacities in star-shaped domains, unraveling their equivalence through equivariant symplectic homology.
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1 Lesons
1 hour 12 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

On the Algebraic Structure of Groups of Area-Preserving Homeomorphisms - Lecture 2

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Explore the algebraic structure of area-preserving homeomorphism groups, focusing on Fathi's question and the simplicity conjecture for compact surfaces. Discover link spectral invariants and their role in solving this problem.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

On the Algebraic Structure of Groups of Area-Preserving Homeomorphisms - Lecture 1

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Explore the algebraic structure of area-preserving homeomorphism groups, focusing on Fathi's question and the simplicity conjecture for compact surfaces. Gain insights into link spectral invariants and their role in solving this problem.
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1 Lesons
1 hour 6 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
IMSA

An Application of Symplectic Topology to Algebraic Geometry

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Explore symplectic topology's application to algebraic geometry, connecting Rouquier's triangulated category dimension to Krull dimension via homological mirror symmetry.
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10 Lesons
42 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

On the Rouquier Dimension of Wrapped Fukaya Categories

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Explores Rouquier dimension of wrapped Fukaya categories, linking symplectic topology to algebraic geometry through homological mirror symmetry. Discusses applications to Lagrangian intersections and Lefschetz fibrations.
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1 Lesons
58 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Mohammed Abouzaid: Bordism and Floer Theory

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Explore the intersection of Morse theory and infinite-dimensional spaces in topology. Learn about recent advances in Floer theory and its applications to generalized homology and derived orbifold bordism.
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1 Lesons
50 minutes
On-Demand
Free-Video
Western Hemisphere Virtual Symplectic Seminar

Applications of the Relation Between Cluster Algebras and Symplectic Topology - Part 2

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Explore applications of cluster algebras in symplectic topology, including detection of Lagrangian fillings and holomorphic symplectic structures. Examine implications for Richardson varieties and quasi-cluster structures.
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4 Lesons
1 hour 10 minutes
On-Demand
Free-Video
Western Hemisphere Virtual Symplectic Seminar

Cluster Algebras Associated to Bott-Samelson Braids

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Explore cluster algebras associated with Bott-Samelson braids, focusing on Legendrian links and their connection to algebraic varieties and Lagrangian fillings. Discover weaves and their computational applications.
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2 Lesons
1 hour 6 minutes
On-Demand
Free-Video
Western Hemisphere Virtual Symplectic Seminar

Cluster Algebras for General Braid Varieties

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Explore cluster algebras on braid varieties using weaves, Lusztig cycles, and symplectic topology. Gain insights into localization processes and A=U proof through Lie-theoretic and combinatorial perspectives.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Symplectic Capacities of Domains Close to the Ball and Quasi-Invariant Contact

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Explore symplectic capacities of domains near balls and quasi-invariant contact forms in this advanced mathematical discussion on symplectic dynamics and Reeb geometry.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Holomorphic Floer Theory and Resurgence - Lecture 3

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Explore holomorphic Floer theory and its connection to resurgence, examining the Riemann-Hilbert correspondence and its implications for perturbative expansions in mathematics and physics.
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1 Lesons
1 hour
On-Demand
Free-Video
Stony Brook Mathematics

Towards a Mathematical Theory of 3D Mirror Symmetry

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Explore the mathematical implications of 3D mirror symmetry, connecting quantum field theory dualities to algebraic geometry and symplectic topology. Uncover links to geometric Langlands and symplectic duality.
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1 Lesons
59 minutes
On-Demand
Free-Video
BIMSA

Symplectic Topology, Stability Conditions and Quadratic Differentials

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Explore connections between symplectic topology, stability conditions, and quadratic differentials in Fukaya categories and mapping class groups.
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1 Lesons
1 hour 42 minutes
On-Demand
Free-Video
BIMSA

Symplectic Topology, Stability Conditions and Quadratic Differentials

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Explore connections between symplectic topology, stability conditions, and quadratic differentials in Fukaya categories and mapping class groups.
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1 Lesons
1 hour 42 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
Institute for Advanced Study

Interactions Between Smooth and Symplectic Topology

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Explore the interplay between smooth and symplectic topology, delving into advanced mathematical concepts and their applications in geometric structures.
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1 Lesons
12 minutes
On-Demand
Free-Video
Prague Mathematical Physics Seminar

Lagrangian Concordance is Not a Partial Order

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Delve into advanced mathematical concepts exploring why Lagrangian concordance fails to establish a partial order, with detailed proofs and theoretical foundations.
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1 Lesons
1 hour 14 minutes
On-Demand
Free-Video