Antonio Montero: Voltage operations on maps, polytopes and maniplexes

Predavatelj: Antonio Montero

Naslov: Voltage operations on maps, polytopes and maniplexes

Povzetek. Geometrical operations such as truncation, duality, Petrie-duality, among others, arise naturally in the study of highly symmetric convex polyhedra. Often these operations do not generalise in an obvious way to combinatorial objects (such as abstract polytopes). In the talk we shall present a way to deal with many of these operations in a graph-teoretical setting using maniplexes, which are combinatorial generalisation of maps on surfaces and convex polytopes. We shall see how we could potentially use these operations to build maniplexes (or abstract polytopes) with prescribed symmetry type.