Abstract for the talk on 19.01.2021 (17:00 h)

Nonlinear Algebra Seminar Online (NASO)

Marvin Anas Hahn (MPI MIS, Leipzig)
Mustafin degenerations: Between applied and arithmetic geometry
19.01.2021, 17:00 h, only video broadcast

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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13.01.2021, 13:58