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  • Videos (1249)
    2/3 The rise of sc-retracts
    01:10:55
    published on July 12, 2015

    2/3 The rise of sc-retracts

    By Joel Fish

    IHES

    In this talk, we discuss the second of two fundamental analysis concepts polyfold theory is built on: sc-retracts. In particular, we discuss how they arise naturally as a means of using pre-gluing maps to parametrize a neighborhood of nodal and non-nodal (or broken and unbroken) maps near a ...

    Appears in collection : Joel Fish - sc-calculus

    Missing fields : symplectic geometry

    Score: 17.154545
    1/2 Introduction to Polyfold Regularization
    01:10:45
    published on July 9, 2015

    1/2 Introduction to Polyfold Regularization

    By Katrin Wehrheim

    IHES

    This lecture will discuss the overall ideas and challenges in regularizing moduli spaces, and introduce the two basic ideas behind polyfold theory: Making reparametrization actions "smooth" and making pregluing a "chart map". [related literature: Sections 2.1 and 3.3 of Polyfolds: A First and ...

    Appears in collection : Katrin Wehrheim - Polyfold regularization

    Missing fields : symplectic geometry

    Score: 17.154545
    Symplectic singularities of varieties
    published on March 16, 2015

    Symplectic singularities of varieties

    By Wojciech Domitrz

    CIRM

    We study germs of singular varieties in a symplectic space. We introduce the algebraic restrictions of differential forms to singular varieties and prove the generalization of Darboux-Givental' theorem from smooth submanifolds to arbitrary quasi-homogeneous varieties in a symplectic space. Using ...

    Appears in collection : Geometry of singular spaces and maps / Géométrie des espaces et applications singuliers

    Score: 17.055424
    4/4 Polyfolds and the construction of Symplectic Field Theory
    01:04:02
    published on July 22, 2015

    4/4 Polyfolds and the construction of Symplectic Field Theory

    By Helmut Hofer

    IHES

    Topics: 1 Perturbation algorithm in the homogeneous case. 2 Perturbation algorithm for relating two perturbations. 3 Remarks on orientations. 4 Representation theory and SFT.

    Appears in collection : Helmut Hofer - Polyfolds and the construction of Symplectic Field Theory

    Missing fields : geometry

    Score: 16.507456
    3/4 Polyfolds and the construction of Symplectic Field Theory
    01:09:56
    published on July 21, 2015

    3/4 Polyfolds and the construction of Symplectic Field Theory

    By Helmut Hofer

    IHES

    Topics: 1 Strong bundle structure and the CR-section as Fredholm functor. 2 Polyfold packaging of the SFT problem. 3 Smooth Multisection functors and smooth weighted subcategories. 4 Construction of sc^+ multisection functors. 5 Auxiliary norms and compactness control.

    Appears in collection : Helmut Hofer - Polyfolds and the construction of Symplectic Field Theory

    Missing fields : geometry

    Score: 16.507456
    2/4 Polyfolds and the construction of Symplectic Field Theory
    01:07:39
    published on July 20, 2015

    2/4 Polyfolds and the construction of Symplectic Field Theory

    By Helmut Hofer

    IHES

    Topics: 1 Polyfold structures. 2 Consequences of polyfold structures. 3 Weighted categories and their smooth versions. 4 The polyfold of stable maps. 5 Bundle category

    Appears in collection : Helmut Hofer - Polyfolds and the construction of Symplectic Field Theory

    Missing fields : geometry

    Score: 16.507456
    1/4 Polyfolds and the construction of Symplectic Field Theory
    01:10:31
    published on July 16, 2015

    1/4 Polyfolds and the construction of Symplectic Field Theory

    By Helmut Hofer

    IHES

    Topics: Short overview. The category of stable maps. I/O structures. Covering structures. Additional structural constraints.

    Appears in collection : Helmut Hofer - Polyfolds and the construction of Symplectic Field Theory

    Missing fields : geometry

    Score: 16.507456
    Lagrangian Cobordisms, Dehn-twists and Real Algebraic Geometry
    01:15:07
    published on July 11, 2015

    Lagrangian Cobordisms, Dehn-twists and Real Algebraic Geometry

    By Paul Biran

    IHES

    We will explain the relevance of Lagrangian cobordisms in Lefschetz fibrations to the study of the (derived) Fukaya category of the fiber. In particular we will give a cobordism interpretation of Seidel's long exact sequence, introduce cobordism groups and also outline how to study real ...

    Appears in collection : Summer School 2015: Moduli Problems in Symplectic Geometry

    Score: 16.415964
  • Collections (106)
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