Antonio Montero: Highly symmetric tessellations of the $n$-dimensional torus

Abstract: If we tile the Euclidean plane with congruent squares, the result has a globally high degree of symmetry. Similar phenomena occur in hyperbolic and spherical spaces. However, when we consider quotients of these spaces, even the nicest ones (manifolds), this is no longer true. In this talk, I will present a classification of the most symmetric tessellations of the torus (of arbitrary dimension). More importantly, I will show how this purely geometric problem can be translated into one that is amenable to a combinatorial approach.

Seminar website: https://mathematical-conversations.splet.arnes.si/