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QGM seminar by Sebastien Boucksom (Ecole Polytechnique, Paris)

Title: Degenerations of Calabi-Yau manifolds and hybrid spaces

2018.02.01 | Christine Dilling

Date Wed 09 May
Time 16:15 17:15
Location 1531-215 (Aud.D3)


A conjecture of Kontsevich and Soibelman describes the Gromov-Hausdorff limit of a maximally degenerate family of polarized Calabi-Yau manifolds in terms of non-Archimedean geometry. I will describe joint work with Mattias Jonsson, which provides weak evidence for this conjecture by describing the limit behavior of holomorphic volume forms in terms of a hybrid space, bringing together the complex geometric degeneration and the associated non-Archimedean analytic space.