Jean-Morlet Chair 2020 - Research School: Geometry and Dynamics of Foliations / Chaire Jean-Morlet 2020 - Ecole : Géométrie et dynamiques des feuilletages

Collection Jean-Morlet Chair 2020 - Research School: Geometry and Dynamics of Foliations / Chaire Jean-Morlet 2020 - Ecole : Géométrie et dynamiques des feuilletages

Organizer(s) Druel, Stéphane ; Pereira, Jorge Vitório ; Rousseau, Erwan
Date(s) 18/05/2020 - 22/05/2020
linked URL https://www.chairejeanmorlet.com/2251.html
00:00:00 / 00:00:00
24 28

Hyperkähler structures on symplectic realizations of holomorphic Poisson surfaces

By Maxence Mayrand

I will discuss the existence of hyperkähler structures on local symplectic groupoids integrating holomorphic Poisson manifolds, and show that they always exist when the base is a Poisson surface. The hyperkähler structure is obtained by constructing the twistor space by lifting specific deformations of the Poisson surface adapted from Hitchin's unobstructedness result. In the special case of the zero Poisson structure, we recover the Feix-Kaledin hyperkähler structure on the cotangent bundle of a Kähler manifold.

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Citation data

  • DOI 10.24350/CIRM.V.19639503
  • Cite this video Mayrand, Maxence (28/05/2020). Hyperkähler structures on symplectic realizations of holomorphic Poisson surfaces. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19639503
  • URL https://dx.doi.org/10.24350/CIRM.V.19639503

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