Andrei Vesnin "Around right-angled hyperbolic polytopes"
Andrei Vesnin from Tomsk State University will give the talk "Around right-angled hyperbolic polytopes" on the labs' Big Seminar.
Password: first 6 decimal places of $\pi$ after the decimal point
We will consider a class of polytopes which can be realized in a hyperbolic space with all dihedral angled equal to $\pi/2$. Since this class contains fullerene polytopes, we will describe fullerene graphs with maximal Wiener index. We will discuss combinatorics and volumes of right-angles polytopes, construction of 3-manifolds from right-angled blocks, and knots and links related to such manifolds.
Talk is based on joint works with A. Dobrynin  and A. Egorov [2,3].
- A. Dobrynin, A. Vesnin, On the Wiener Complexity and the Wiener Index of Fullerene Graphs, Mathematics, 2019, 7(11), 1071, 16 pp.
- A. Egorov, A. Vesnin, Volume estimates for right-angled hyperbolic polyhedra, preprint arXiv:2010.11147, 12pp.
- A. Egorov, A. Vesnin, On correlation of hyperbolic volumes of fullerenes with their properties, submitted, 24 pp.
Watch the video:
Everyone is invited to attend. The language of the lecture is English. The event is aimed at master and graduate students, as well as researchers in the field of combinatorics.