Seminar series
Date
Mon, 20 Oct 2008
16:45
16:45
Location
L3
Speaker
Ian Leary
Organisation
Ohio State; visitin Bristol
We classify 2-dimensional polygonal complexes that are simply connected, platonic (in the sense that they admit a flag-transitive group of symmetries) and simple (in the sense that each vertex link is a complete graph). These are a natural generalization of the 2-skeleta of simple polytopes.
Our classification is complete except for some existence questions for complexes made from squares and pentagons.
(Joint with Tadeusz Januszkiewicz, Raciel Valle and Roger Vogeler.)