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  • Videos (1249)
    Sympletic topology from Poincaré to Gromov
    57:13
    published on May 28, 2013

    Sympletic topology from Poincaré to Gromov

    By Yakov Eliashberg

    IHP

    ... Sur un théorème de géométrie », written shortly before his death,started a development which eventually led to creation of a new field of symplectic topology. In the talk I will highlight some milestones of this process.

    Appears in collection : Colloque Scientifique International Poincaré 100

    Missing fields : geometry

    Score: 26.884516
    Fredholm theory and Deligne-Mumford spaces for witch balls
    01:12:03
    published on July 15, 2015

    Fredholm theory and Deligne-Mumford spaces for witch balls

    By Nathaniel Bottman

    IHES

    In work-in-progress with Katrin Wehrheim, we aim to bind together the Fukaya categories of many different symplectic manifolds into a single algebraic object. This object is the "symplectic A-infinity-2-category", whose objects are symplectic manifolds, and where hom(M,N):=Fuk(M-xN). At the core of ...

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

    Score: 26.048952
    Symplectic embeddings of products
    01:08:17
    published on July 23, 2015

    Symplectic embeddings of products

    By Daniel Cristofaro-Gardiner

    IHES

    McDuff and Schlenk determined when a four-dimensional ellipsoid can be symplectically embedded into a four-dimensional ball, and found that when the ellipsoid is close to round, the answer is given by an “infinite staircase” determined by the odd-index Fibonacci numbers. We show that this ...

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

    Score: 25.30463
    Unexpected symplectic fillings of links of rational surface singularities
    01:10:01
    published on September 27, 2021

    Unexpected symplectic fillings of links of rational surface singularities

    By Laura Starkston

    CIRM

    We compare symplectic fillings of a link of a complex surface singularity with smoothings of the singularity (please see the attached notes).

    Appears in collection : Jean-Morlet Chair 2021 - Research School: Milnor Fibrations, Degenerations and Deformations from Modern Perspectives / Chaire Jean-Morlet 2021 - Ecole : Fibrations de Milnor, dégénérescences et déformations : perpectives modernes

    Missing fields : geometry

    Score: 24.953934
    Midsummer Bures Dreams
    01:02:45
    published on July 14, 2015

    Midsummer Bures Dreams

    By Yakov Eliashberg

    IHES

    ... will discuss some questions and conjectures concerning symplectic topology of Weinstein manifolds.

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

    Score: 24.04917
    Lefschetz pencils and noncommutative geometry
    01:01:50
    published on July 1, 2014

    Lefschetz pencils and noncommutative geometry

    By Paul Seidel

    IHES

    This talk concerns the symplectic geometry of Lefschetz pencils. Applying Floer cohomology results in a rich algebraic structure. We will explain a possible framework for understanding this structure, and its relation with mirror symmetry.

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

    Score: 23.796005
    On the algebraic structure of groups of area-preserving homeomorphisms
    57:47
    published on May 17, 2021

    On the algebraic structure of groups of area-preserving homeomorphisms

    By Sobhan Seyfaddini

    CIRM

    In the late 70s, Fathi showed that the group of compactly supported volume-preserving homeomorphisms of the ball is simple in dimensions greater than 2. We present our recent article which proves that the remaining group, that is area-preserving homeomorphisms of the disc, is not simple. This ...

    Appears in collection : From Hamiltonian Dynamics to Symplectic Topology

    Missing fields : geometry

    Score: 23.664686
    On the Viterbo conjecture about Lagrangian spectral norms
    58:19
    published on May 17, 2021

    On the Viterbo conjecture about Lagrangian spectral norms

    By Stéphane Guillermou

    CIRM

    Let G be a compact Lie group and let M = G/H be a G-homogeneous space, equipped with an invariant metric. We prove that the spectral norm of any compact exact Lagrangian submanifold of the cotangent bundle T²M is bounded in terms of the diameter and dimension of G. Our proof is by sheaf ...

    Appears in collection : From Hamiltonian Dynamics to Symplectic Topology

    Missing fields : geometry

    Score: 23.447615
  • Collections (106)
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