Event Type:

Graduate Student Summer Seminar

Date/Time:

Monday, August 3, 2015 - 14:30 to 15:30

Location:

KIDD 364

Guest Speaker:

Stephen Krughoff

Institution:

Graduate Student - Oregon State University

Abstract:

A map is a particular form of embedding a graph on a surface which, among other things, allows one to extend the notion of "regularity" in Platonic solids to a more diverse array of objects. In this talk, I show how to combinatorial-ize the fundamentally topological definition of a map. I proceed to give definitions and examples of two types of symmetry in maps. Finally, I give a generalization of combinatorial maps to higher dimensions and present several results from my Master's work. This talk makes very few assumptions about the audience's knowledge and should be accessible to anyone familiar with basic group theory.