Compact hyperbolic Coxeter 4-polytopes with 8-facets
2021-07-08 15:00:00
2021-07-08 15:00:00
2021-07-08 15:00:00
Speaker : 3:00PM，Jiming Ma
Time : 2021-07-08 15:00:00
Location :
Speaker:Jiming Ma (Fudan University)
Date:July 8 Thur. 3:00pm -- 4:30 pm
Venue: Lecture Hall, Institute for Advanced Study in Mathematics, No.7 teaching building
Abstract:Unlike the spherical and parabolic cases, complete classification regarding hyperbolic Coxeter polytopes of finite volume is far from being obtained. Poincare and Andreev addressed this problems in dimensions 2 and 3, respectively. In dimensions larger than or equal to four, complete classifications of Coxeter polytopes are achieved scatteredly only in the cases of simplexes, n-polytopes of finite volume with n+2 facets and bounded n-polytope with n+3 facets, etc. We obtain the complete classification for compact hyperbolic Coxeter 4-polytopes with 8 facets. This is joint work with Fangting Zheng.