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Displaying from Sunday, December 16, 2012
 February 2013
Friday 22
15:00 - SEMINAR - Groups and Combinatorics Seminar: Algebraic aspects of Hadamard matrices More Information
Our Groups and Combinatorics Seminar will resume this Friday.

Padraig Ó Catháin (The University of Queensland)

will speak on

Algebraic aspects of Hadamard matrices

at 3pm Friday 22nd of February in MLR2.

Abstract:

Hadamard matrices (...)

 March 2013
Friday 01
15:00 - SEMINAR - Groups and Combinatorics Seminar, The Wall and Guralnick conjectures: history and legacy More Information
Abstract:

In 1961 G.E. Wall conjectured that the number of maximal subgroups of a finite group is less than the order of the group. The conjecture holds for all finite solvable groups (proved by Wall himself in his original paper) and holds for almost all finite simple groups, possibly (...)
Tuesday 05
13:00 - SEMINAR - Groups and Combinatorics Seminar, Control of fusions in fusion systems and applications More Information
Jiping Zhang (Peking University)

will speak on

Control of fusions in fusion systems and applications

at 1pm on Tuesday 5th of March, in MLR2

Abstract:

Fusion systems were introduced by L. Puig in early 1990's mainly for the purpose of block (...)
Friday 08
15:00 - SEMINAR - Groups and Combinatorics Seminar, Generalised n-gons and the Feit-Higman theorem More Information
Name: Jon Xu (University of Melbourne/University of Western Australia)

will speak on

Generalised n-gons and the Feit-Higman theorem

at 3pm on Friday 8th of March.

Abstract:

Jacques Tits' theory of buildings played a vital role in the proof of (...)
Friday 15
15:00 - SEMINAR - Groups and Combinatorics Seminar, Erdös-Ko-Rado sets in finite classical polar spaces More Information
Abstract:

Erdös-Ko-Rado sets (EKR sets) are a family of k-sets of { 1, ..., n } that pairwise intersect in at least one element and were first studied by Erdös, Ko, and Rado in 1961. There are several generalizations of EKR sets. The speaker's main interest is study of EKR sets in polar (...)
Friday 22
15:00 - SEMINAR - Groups and Combinatorics Seminar, Irreducible subgroups of classical algebraic groups More Information
Abstract:

Let G be a group, let H be a subgroup of G and let V be an irreducible KG-module over a field K. We say that (G,H,V) is an irreducible triple if V is an irreducible KH-module. Classifying the irreducible triples of a group is a fundamental problem in representation theory, with (...)
Thursday 28
14:00 - SEMINAR - Groups and Combinatorics Seminar: Bacterial genome evolution with algebra More Information
Andrew Francis (University of Western Sydney)

will speak on

Bacterial genome evolution with algebra

at 2pm Thursday 28th of March in Blakers Lecture Theatre

NOTE CHANGE OF DAY, TIME AND VENUE

Abstract:

The genome of a bacterial (...)

 April 2013
Friday 05
15:00 - SEMINAR - Groups and Combinatorics Seminar, Redei-polynomials in finite geometry More Information
Abstract:

L. Redei has studied in a detailed way so-called "lacunary" polynomials over finite fields. One of the applications described is to investigate the number of values the difference quotient of a polynomial over a finite field can have. This result has a direct (...)
Tuesday 09
13:00 - SEMINAR - Groups and Combinatorics Seminar, The Erdos-Stone Theorem for finite geometries More Information
Abstract:

For any class of graphs, the growth function h(n) of the class is defined to be the maximum number of edges in a graph in the class on n vertices. The Erdos-Stone Theorem remarkably states that, for any class of graphs that is closed under taking subgraphs, the asymptotic (...)
Friday 12
15:00 - SEMINAR - Groups and Combinatorics Seminar, On the number of matroids More Information
Abstract:

Matroids are combinatorial structures that generalize graphs as well as configurations of points in projective space. They consist of a finite ground set E and a set of subsets of E called B, such that B satisfies certain axioms. We consider the problem of bounding the number (...)
Friday 19
15:00 - SEMINAR - Groups and Combinatorics Seminar, Arc-transitive graphs with large automorphism groups More Information
Abstract:

An arc in a graph is an unordered pair of adjacent vertices. A graph is called arc-transitive if its automorphism group acts transitively on its set of arcs. We consider the problem of bounding the size of the automorphism group of an arc-transitive graph in terms of its order (...)
Friday 26
15:00 - SEMINAR - Groups and Combinatorics Seminar, Locally s-arc transitive regular covers of complete bipartite graphs More Information
Abstract:

The normal quotient method has made the study of certain families of finite graphs (for instance, s-arc transitive and locally s-arc transitive graphs) more approachable by dividing the problem into two parts: (I) Study the "basic graphs," those graphs in the family (...)

 May 2013
Friday 03
15:00 - SEMINAR - Groups and Combinatorics Seminar, On metacirculants -The relationship of weak metacirculants and metacirculants More Information
Metacirculants were introduced by Alspach and Parsons in 1982 and have been a rich source of various topics since then, including the Hamiltonian path problem of vertex-transitive graphs. A metacirculant has a vertex-transitive metacyclic subgroup of automorphisms, and a long-standing curious (...)
Friday 10
15:00 - SEMINAR - Groups and Combinatorics Seminar, Ovoids and spreads of finite polar spaces More Information
Abstract:

This talk is a survey of one of the driving topics in finite geometry, and the connections that ovoids and spreads have to other areas of finite geometry and permutation groups. Apart from a presentation of the history of the field and the main open problems, the speaker will (...)
Friday 17
15:00 - SEMINAR - Groups and Combinatorics Seminar, Local transitivity properties of graphs and pairwise transitive designs More Information
Abstract:

One of the earliest triumphs in applying the finite simple group classification in algebraic graph theory was the characterization of finite distance transitive graphs. Recent work by Devillers, Giudici, Li and myself focuses on a generalisation of this class of graphs: locally (...)
Friday 24
15:00 - SEMINAR - Groups and Combinatorics Seminar, Algebraic graph theory applied to configurations of polar spaces More Information
Abstract:

The speaker will give the second half of his talk from a fortnight ago, but with a different context. We will first go through some background on the basics of algebraic graph theory, eigenvalue techniques, and strongly regular graphs, before giving some short non-existence (...)
Friday 31
15:00 - SEMINAR - Groups and Combinatorics Seminar, (k,L)-complexes and graph symmetry More Information
Abstract:

Given an integer k and a graph L, a (k,L)-complex is a polygonal complex consisting of vertices, edges and faces such that each face is a regular k-gon and the graph induced by the edges and faces at each vertex is isomorphic to L. Many questions about the existence and (...)

 June 2013
Friday 07
15:00 - SEMINAR - Groups and Combinatorics Seminar, The Merino Welsh Conjecture More Information
Abstract:

Merino and Welsh conjectured that for any loopless bridgeless graph, the number of spanning trees is dominated either by the number of acyclic orientations of the graph, or by the number of totally cyclic orientations of the graph.

In this talk, I will discuss this (...)
Friday 14
15:00 - SEMINAR - Groups and Combinatorics Seminar, Recognising the Symmetric and Alternating Squares More Information
Abstract:

The fundamental goal of Computational Group Theory is recognition: given a group somehow represented in a computer (usually by generators), determine any information about the group that you can, as quickly as possible. This is `easy' if we have enough time and memory to write (...)
Friday 21
15:00 - SEMINAR - Groups and Combinatorics Seminar More Information
This week the seminar will consist of three 20 minute talks, starting at 3pm Friday 21st of June in Blakers Lecture Theatre.

--Talk 1--

Mark Ioppolo

will speak on

Symmetry in coding theory: Constructing error control codes with group theory

Abst (...)


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