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    MPIM

    Displacement energy and stabilization in toric symplectic manifoldsMPIM

    by Jean-Philippe Chasse (MPIM)

    → Europe/Berlin
    MPIM, Vivatsgasse, 7 - Lecture Hall (Max Planck Institute for Mathematics)

    MPIM, Vivatsgasse, 7 - Lecture Hall

    Max Planck Institute for Mathematics

    120
    Description

    MPI-Oberseminar

    Polterovich provided an example of a Lagrangian that is nondisplaceable, but whose product with the 0-section of $T^*S^1$ becomes displaceable. This raises a complementary, quantitative question: Can the displacement energy of a displaceable Lagrangian decrease under such stabilization? I will present a systematic approach to studying this question in the toric Fano setting, where we can compute the (bulk-deformed) superpotential in terms of the tropical geometry of the moment polytope. This is joint work with Ipsita Datta.