Andrei Vesnin “Around right-angled hyperbolic polytopes” | Big Seminar

November 12, 2020
19.00 MSK (UTC +3)

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.

The talk will be held in zoom
Meeting ID: 279-059-822
Password: first 6 decimal places of $\pi$ after the decimal point

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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 [1] and A. Egorov [2,3].


  1. A. Dobrynin, A. Vesnin, On the Wiener Complexity and the Wiener Index of Fullerene Graphs, Mathematics, 2019, 7(11), 1071, 16 pp.
  2. A. Egorov, A. Vesnin, Volume estimates for right-angled hyperbolic polyhedra, preprint arXiv:2010.11147, 12pp.
  3. 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.