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