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  • Videos (1249)
    Inductive limit which appears in Lagrangian Floer theory
    55:18
    published on May 17, 2021

    Inductive limit which appears in Lagrangian Floer theory

    By Kenji Fukaya

    CIRM

    For a given symplectic manifold and a finite set of Lagrangian submanifolds which intersect transversally each other we can construct an $A_{\infty }$-category. When we consider Lagrangian submanifolds which are not necessary intersect transversally there are issues to perform such a construction.

    Appears in collection : From Hamiltonian Dynamics to Symplectic Topology

    Missing fields : geometry

    Score: 17.998484
    Algebra of the infrared and secondary polytopes
    01:04:27
    published on June 29, 2014

    Algebra of the infrared and secondary polytopes

    By Mikhail Kapranov

    IHES

    Mikhail KAPRANOV (Kavli Institute for the Physics and Mathematics of the Universe (WPI), Tokyo)

    Appears in collection : Algèbre, Géométrie et Physique : une conférence en l'honneur

    Missing fields : symplectic geometry

    Score: 17.841558
    Towards homological mirror symmetry for affine varieties
    59:52
    published on July 5, 2014

    Towards homological mirror symmetry for affine varieties

    By Denis Auroux

    IHES

    I will report on a program to construct Landau-Ginzburg mirrors to affine varieties from the perspective of the SYZ conjecture and prove homological mirror symmetry for these mirror pairs. The wrapped Fukaya categories that appear in the statement of homological mirror symmetry in this setting ...

    Appears in collection : Algèbre, Géométrie et Physique : une conférence en l'honneur

    Missing fields : symplectic geometry

    Score: 17.18617
    3/3 Knot contact homology, Chern-Simons theory, and topological string
    01:05:09
    published on July 21, 2015

    3/3 Knot contact homology, Chern-Simons theory, and topological string

    By Tobias Ekholm

    IHES

    We define knot contact homology as the Legendrian differential graded algebra of the unit conormal lift of a knot. We show how to compute it for knots in the three sphere using flow trees and discuss some of its basic properties. We also introduce the augmentation variety.

    Appears in collection : Tobias Ekholm - Knot contact homology

    Missing fields : symplectic geometry

    Score: 17.146484
    2/3 Knot contact homology and string topology
    01:07:24
    published on July 20, 2015

    2/3 Knot contact homology and string topology

    By Tobias Ekholm

    IHES

    We define knot contact homology as the Legendrian differential graded algebra of the unit conormal lift of a knot. We show how to compute it for knots in the three sphere using flow trees and discuss some of its basic properties. We also introduce the augmentation variety.

    Appears in collection : Tobias Ekholm - Knot contact homology

    Missing fields : symplectic geometry

    Score: 17.146484
    1/3 Introduction to knot contact homology
    01:01:30
    published on July 19, 2015

    1/3 Introduction to knot contact homology

    By Tobias Ekholm

    IHES

    We define knot contact homology as the Legendrian differential graded algebra of the unit conormal lift of a knot. We show how to compute it for knots in the three sphere using flow trees and discuss some of its basic properties. We also introduce the augmentation variety.

    Appears in collection : Tobias Ekholm - Knot contact homology

    Missing fields : symplectic geometry

    Score: 17.146484
    2/2 Regularization theorem for Fredholm sections of M-polyfold bundles
    01:06:57
    published on July 15, 2015

    2/2 Regularization theorem for Fredholm sections of M-polyfold bundles

    By Katrin Wehrheim

    IHES

    This lecture will state a rigorous version of this theorem, and explain the notion of a (sc-)Fredholm section. [related literature: Sections 6.2 and 6.3 of Polyfolds: A First and Second Look. http://arxiv.org/pdf/1210.6670.pdf

    Appears in collection : Katrin Wehrheim - Polyfold regularization

    Missing fields : symplectic geometry

    Score: 17.13258
    3/3 Boundary, corners, strong bundles, and implicit function theorems
    01:28:03
    published on July 14, 2015

    3/3 Boundary, corners, strong bundles, and implicit function theorems

    By Joel Fish

    IHES

    In this talk, we generalize the notion of sc-retracts to include cases with boundary and corner structure. In addition, we develop the notion of a strong bundle (of which the Cauchy-Riemann operator is a section) and state an implicit function theorem for transverse Fredholm sections with ...

    Appears in collection : Joel Fish - sc-calculus

    Missing fields : symplectic geometry

    Score: 17.13258
  • Collections (106)
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