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#Floer Theory

Showing: 14 courses
IMSA

Skein Exact Triangles in Equivariant Singular Instanton Theory

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Explore knot signatures and singular instanton homology, focusing on skein exact triangles in equivariant theory. Uncover new insights into link invariants and their categorifications.
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18 Lesons
59 minutes
On-Demand
Free-Video
IMSA

Stability Structures in Holomorphic Morse-Novikov Theory

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Explore complex symplectic manifolds, Floer theory, and Morse-Novikov theory. Delve into analytic questions of convergence and generalization to almost-complex cases in this advanced mathematical lecture.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
IMSA

Homological Mirror Symmetry - Homological Link Invariants from Floer Theory

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Explore a groundbreaking connection between homological mirror symmetry and representation theory, solving the knot categorification problem and generalizing Heegard-Floer theory to simple Lie superalgebras.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
IMSA

Semi-Affineness of Wrapped Invariants on Affine Log Calabi-Yau Varieties

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Explore mirror symmetry in affine log Calabi-Yau varieties, examining finiteness properties of Floer theoretic invariants and their implications for categorical crepant resolutions.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
IMSA

Birational Calabi-Yau's and Floer Cohomology

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Explore the relationship between Gromov-Witten invariants of birational Calabi-Yau manifolds using Hamiltonian Floer theory, including the generalized McKay correspondence and small quantum products.
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1 Lesons
59 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
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

Mirror Symmetry via Floer Theoretic Invariants

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Explore generalized Delzant subdomains, relative symplectic cohomology, and mirror symmetry construction using Floer theoretic invariants. Delve into HMS functor and local generation concepts.
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1 Lesons
1 hour 13 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

A-Infinity Functor in Symplectic Geometry and Gauge Theory

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Explore advanced concepts in Floer theory, focusing on representability of A-infinity functors in symplectic geometry and gauge theory applications.
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1 Lesons
1 hour 9 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Heegaard Branes and Exact Results for Non-perturbative Complex Chern-Simons Theory

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Explore Heegaard branes in moduli spaces of Higgs bundles and their applications in mathematics, from geometric Langlands to low-dimensional topology and complex Chern-Simons theory.
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1 Lesons
1 hour 15 minutes
On-Demand
Free-Video
Western Hemisphere Virtual Symplectic Seminar

Coproduct Structures in Floer Theory and String Topology

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Explore coproduct structures in Floer theory and string topology, including a new structure on symplectic cohomology of Liouville manifolds, with computational examples.
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1 Lesons
52 minutes
On-Demand
Free-Video
IMSA

Floer Theory and Quantum Groups

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Explore Floer theory, quantum groups, and gauge theories in 3-manifolds. Discover connections between moduli spaces, Floer invariants, and skein modules in topological quantum field theory.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Institute for Advanced Study

Plumber's Algebra Structure on Symplectic Cohomology

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Delve into advanced symplectic geometry concepts, exploring Plumber's PROP structures, nodal Riemann surfaces, and their applications to cohomological field theories and curve counting methods.
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1 Lesons
1 hour 4 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