Thema der Dissertation:
On 4-Dimensional Point Groups and on Realization Spaces of Polytopes Thema der Disputation:
Projectively unique polytopes
On 4-Dimensional Point Groups and on Realization Spaces of Polytopes Thema der Disputation:
Projectively unique polytopes
Abstract: Shephard and Perles (in 1974) asked the following question: "Is it true that, for a fixed d >=2, the number of projectively unique d-polytopes is finite?". It is not hard to see that there are only two projectively unique 2-polytopes (the triangle and the quadrilateral). Grünbaum (in 1967) showed that there are only four projectively unique 3-polytopes. The answer for d >= 4 is still open.
In this talk, we will explore facts and properties of projectively unique polytopes, explain McMullen's techniques which are used to construct such polytopes, and show the current research status for d >=4.
In this talk, we will explore facts and properties of projectively unique polytopes, explain McMullen's techniques which are used to construct such polytopes, and show the current research status for d >=4.
Zeit & Ort
14.10.2022 | 16:15
Seminarraum
(Fachbereich Mathematik und Informatik, Arnimallee 2, 14195 Berlin)