# 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

You can also write to Alexander Polyanskii (alexander.polyanskii@yandex.ru) or to Maksim Zhukovskii (zhukmax@gmail.com) if you want to be added to mailing list.

**Abstract:**

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].

References

- 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.