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Displaying from Wednesday, May 22, 2013
 May 2013
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 (...)

 July 2013
Friday 05
15:00 - SEMINAR - Groups and Combinatorics Seminar, On Pseudo-Injective Group Algebra More Information
Abstract:

A module M is called pseudo-injective if for every submodule X of M, any monomorphism f : X -------> M can be extended to a homomorphism g : M -------> M. Let K be a field and G a group. It is well known that a group algebra K[G] is self-injective if and only if the group (...)

 August 2013
Friday 02
15:00 - SEMINAR - Groups and Combinatorics Seminar, Maximal arcs that contain regular hyperovals More Information
Abstract:

A maximal n-arc is a set of q(n-1) + n points in a projective plane such that any line of the plane meets 0 or n of them. The most common maximal arcs, called the Mathon arcs, are constructed by taking the union of regular hyperovals. In particular, there are no known maximal 4- (...)
Friday 09
15:00 - SEMINAR - Groups and Combinatorics Seminar, Semisymmetric graphs of prime valency More Information
Abstract:

A graph is called X-semisymmetric if the group X acts transitively on edges, but not on vertices. Such graphs are necessarily bipartite and bi-regular, of valencies k and l say. There is a natural relationship between semisymmetric graphs and amalgams of groups. This leads us (...)
Sunday 11
10:00 - OPEN DAY - 2013 Open Day : Join us for our Centenary Open Day and experience all that UWA has to offer Website | More Information
Come and find out about our undergraduate and postgraduate courses, career options, scholarship opportunities, our valuable research, community programs and facilities.

There's also residential college tours, hands-on activities, live music, entertainment, and plenty of fun activities (...)
Friday 16
15:00 - SEMINAR - Groups and Combinatorics Seminar, Decomposing tensor products over fields of small characteristic More Information
Abstract:

One motivation for this talk comes from representation theory: decomposing a tensor product of irreducible (or indecomposable) representations as a sum of smaller degree irreducible (or indecomposable) representations. Other motivations come from quantum mechanics and (...)
Friday 23
15:00 - SEMINAR - Groups and Combinatorics Seminar, Breaking symmetries of infinite graphs More Information
Abstract:

Symmetry breaking involves colouring the elements of a combinatorial structure so that the resulting structure has no nontrivial symmetries. In this talk I'll give an introduction to symmetry breaking, with a particular focus on infinite graphs. I'll also discuss a number of (...)
Friday 30
15:00 - SEMINAR - Groups and Combinatorics Seminar, The structure of 3-separations of matroids More Information
Abstract:

In this talk, I will give an introduction to decomposition theory of 3-connected matroids. In order to make it more accessible I will also introduce some related definitions and examples.

 September 2013
Friday 06
15:00 - SEMINAR - Groups and Combinatorics Seminar, Connections between Graph Theory & Combinatorics on Words More Information
Abstract:

A string or word is usually thought of as a sequence of letters drawn from some alphabet. Applications to bioinformatics and other areas suggest the utility of defining strings on subsets of the alphabet instead -- so-called "indeterminate" strings. I describe (...)
Friday 13
15:00 - SEMINAR - Groups and Combinatorics Seminar, On The Non-commuting Graph More Information
Abstract:

In this talk, we will consider the non-commuting graph of a non-abelian finite group G; its vertex set is the set of non-central elements of G, and two distinct vertices x and y are joined by an edge if they do not commute together. Actually, we study some properties of the (...)
Friday 20
15:00 - SEMINAR - Groups and Combinatorics Seminar, Generalised quadrangles constructed from groups More Information
Abstract:

This is just a survey talk of various ways to construct all of the known finite generalised quadrangles starting with a group and a configuration of subgroups of that group. In particular, the speaker will give a summary of where one of the "retreat" problems is at.
Wednesday 25
11:00 - SEMINAR - Mathematics Colloquium: The Cohen-Lenstra heuristics: from arithmetic to topology and back again More Information
Akshay Venkatesh (Stanford) Mahler Lecturer and IAS Professor-at-Large

will speak on

The Cohen-Lenstra heuristics: from arithmetic to topology and back again.

at 11am in the Science Library Access Grid room.



I will discuss some models of (...)
Friday 27
15:00 - SEMINAR - Groups and Combinatorics Seminar, Straight-line programs with memory and applications to computational group theory More Information
Abstract:

Straight-line programs offer a method for encoding group computations in a "black box" sense, namely without using specifics of the group's representation or how the group operations are performed. We advocate that straight-line programs designed for group (...)

 October 2013
Friday 11
15:00 - SEMINAR - Groups and Combinatorics Seminar, Multiply tiling Euclidean space by translating a convex object More Information
Abstract:

We study the problem of covering Euclidean space R^d by possibly overlapping translates of a convex body P, such that almost every point is covered exactly k times, for a fixed integer k. Such a covering of Euclidean space by translations is called a k-tiling. We will first (...)
Friday 18
15:00 - SEMINAR - Groups and Combinatorics Seminar, Regular orbits of Sym(n) and Alt(n) on irreducible representations More Information
Abstract:

Given a finite group G and a faithful irreducible FG-module V where F is a field of prime order, we can ask whether G has a regular orbit on the vectors of V. This problem is related to determining which primitive permutation groups of affine type have a base of size 2, as well (...)
Friday 25
15:00 - SEMINAR - Groups and Combinatorics Seminar, Coprime actions of finite linear groups More Information
Abstract:

Let H be a finite linear group acting completely reducibly on a finite vector space V. Gabriel Navarro asked: if the H-orbits containing vectors a and b have coprime lengths m and n, is there an H-orbit of length mn? We answered, by showing that the H-orbit containing a + b (...)


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