Lectures on Symmetry in Graphs, Maps and Polytopes

Lectures will be given by Stephen Wilson throughout the spring semester.

Tentative schedule:

Every Monday, Tuesday and Thursday, starting on Monday, February 16, 2015 and ending on Thursday, June 4, 2015.

Monday:
16:00 – 17:00 FAMNIT-POSTA

Tuesday:
12:00 – 13:00 FAMNIT-MP1

Thursday:
15:00 – 16:00 FAMNIT-MP1

Course overview:

After a brief overview of group actions on sets, we will discuss abstract objects which have relatively large symmetry groups:

Maps:
Rotary, Chiral, Reflexible
Classifications and Families
Automorphism groups of surfaces
Orientable and not
Operators

Polytopes and Maniplexes:
Definitions and relations
Rotary, chiral and reflexible
Orientable and not
Even more operators

Graphs:
Edge-transitivity
Dart-transitive
1/2-arc-transitive
Semisymmetric
Families and sporadic examples

Constructions:
By parameters
From diagrams
from smaller graphs.

Welcome!