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Marvin Anas Hahn (MPI MIS, Leipzig): Mustafin degenerations: Between applied and arithmetic geometry

Ort: MPI für Mathematik in den Naturwissenschaften Leipzig,  , Videobroadcast

Video broadcast: Nonlinear Algebra Seminar Online (NASO) Mustafin varieties are degenerations of projective spaces induced by combinatorial data in a Bruhat--Tits building. In recent years, these objects have proved to be of great interest due to a wide array of applications in algebraic and arithmetic geometry. In this talk, we review these developments. Moreover, we introduce a generalisation - that we call Mustafin degeneration - which is obtained by considering combinatorial data in a compactification of the respective Bruhat-Tits building. This new notion provides a novel combinatorial framework for the study of one parameter families of so-called multiview varieties in computer vision. This talk is partially based on joint work with Binglin Li and Annette Werner.

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Beginn: Jan. 19, 2021, 5 p.m.

Ende: Jan. 19, 2021, 5:45 p.m.