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Discrete Geometry Seminar

The Discrete Geometry and Combinatorics seminar is devoted to studying the more combinatorially oriented aspects of geometry and the more geometrically oriented aspects of combinatorics. Of particular interest are those aspects which are related to geometric group theory and geometric combinatorics. The seminar is organized by Jon McCammond, Daryl Cooper and Azer Akhmedov.

As you may have noticed, I stopped keeping this up to date once the department calendar came on-line. Check here instead

Next Event:

Speaker: Azer Akhmedov
Institution: U.C. Santa Barbara
Title: Andrews-Curtis Graphs of Groups
Date: February 21st
Time: 2:00-3:00pm
Place: South Hall 6635

Cayley Graph of the Free Product Z₃ * Z₅

History of seminar

Winter 2007 Schedule:

January 17th	Azer Akhmedov, UCSB Tiles of Groups and Spaces Abstract: In the first talk, I will provide many examples and pictures of (aperiodic) tiles of Euclidean and hyperbolic spaces, as well as of some groups. I'll also mention some recent results of mine about tiles of groups. In the second talk, I will discuss the proof of the construction of a group with no nontrivial tile. (Part 1 of 2)
January 24th	Azer Akhmedov, UCSB Tiles of Groups and Spaces Abstract: (part 2 of 2)
January 31st	, UCSB (no seminar) Abstract:
February 7th	Jon McCammond, UCSB Moore graphs and generalized polygons Abstract: In this talk I will discuss the basic properties of Moore graphs and generalized polygons. These graphs are those with an optimal relationship between their girth and diameter and they show up in many different parts of mathematics. Examples include the Petersen graph, the Hoffman-Singleton graph, the incidence graphs of the finite projective planes and the generalized quadrangles and hexagons introduced by Jacques Tits in his study of finite geometry.
February 14th	Jon McCammond, UCSB The unusual graph of Hoffman and Singleton Abstract: Last week I talked about Moore graphs and generalized polygons and proved the theorem that there are at most 3 non-trivial examples of Moore graphs, one of which is the Petersen graph. This week I will discuss several constructions of the only other known example, the Hoffman-Singleton graph. As time allows, I will discuss how the Hoffman-Singleton graph is connected to several other exceptional objects such as the outer-automorphism of Sym_6 and the octonions.
February 21st	Azer Akhmedov, UCSB Andrews-Curtis Graphs of Groups Abstract: I'll introduce Andrews-Curtis graphs of groups, and discuss some basic properties and the relation with the famous Andrews-Curtis Conjecture. Then I'll mention some recent results about Andrews-Curtis graphs.
February 28th	, UCSB Abstract:
March 7th	, UCSB Abstract:
March 14th	, UCSB Abstract:

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Last Modified on 16/Sep/24