2023 - T2 - WS2 - Higher structures in enumerative geometry

Collection 2023 - T2 - WS2 - Higher structures in enumerative geometry

Organizer(s) Behrend, Kai ; Fantechi, Barbara
Date(s) 12/06/2023 - 16/06/2023
linked URL https://indico.math.cnrs.fr/event/7883/
11 19

Modular Poisson structures

By Zheng Hua

Give a Gorenstein Calabi-Yau curve X, the moduli stack of bounded complexes of vector bundles on X admits a 0-shifted Poisson structure. For the component that is a G_m gerbe over a smooth scheme, the 0-shifted Poisson structure descends to an ordinary Poisson structure on its coarse moduli scheme, which we call a “modular Poisson structure”. In this talk we will survey some recent progress on the study of the modular Poisson structures. In particular we will give the example when X is the Kodaira cycle, where we establish a correspondence between certain torus orbits of vector bundle stack and projected open Richardson varieties on grassmannian via modular Poisson structure.

Information about the video

  • Date of publication 11/04/2024
  • Institution IHP
  • Language English
  • Format MP4

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