Introduction: IASM visitors plan to organize an irregular seminar from June 20 to July 20. We will arrange about eight 1.5-hour introductory talks, on recent topics in hyperbolic geometry (and low-dimensional topology). The purpose of this seminar is to enhance communication and learn advances in the area.
Venue: Lecture Hall, Institute for Advanced Study in Mathematics, No.7 teaching building, Yuquan Campus
Speaker: MA Jiming, Associate Professor, Fudan University
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.
More info: http://www.iasm.zju.edu.cn/iasm/2021/0622/c58777a2397709/page.htm