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The generalized Poincaré conjecture aims for recognizing a sphere based on certain local and global assumptions on a space: It should locally be modelled on n-dimensional Euclidean space, it should be compact, simply connected and have the homology of an n-dimensional sphere. We will give a first introduction to these questions and, after sketching the genesis of the conjecture, focus on the influential topological methods that lead to a proof in high dimensions. The talk is aimed at math students, scientists and the mathematically interested public.
Hinweis: Comment: This talk is part of the event "Die 7 Abenteuer der Mathematik" celebrating the Millennium Prize Problems.
Freitag, den 15. Juli 2022 um 15:30 Uhr, in Mathematikon, Hörsaal Freitag, den 15. Juli 2022 at 15:30, in Mathematikon, Hörsaal