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Displaying from Thursday, June 20, 2013
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June 2013
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Friday 21 |
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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July 2013
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Friday 05 |
15:00 - SEMINAR - Groups and Combinatorics Seminar, On Pseudo-Injective Group Algebra
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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 (...)
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August 2013
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Friday 02 |
15:00 - SEMINAR - Groups and Combinatorics Seminar, Maximal arcs that contain regular hyperovals
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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- (...)
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Friday 09 |
15:00 - SEMINAR - Groups and Combinatorics Seminar, Semisymmetric graphs of prime valency
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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 (...)
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Sunday 11 |
10:00 - OPEN DAY - 2013 Open Day : Join us for our Centenary Open Day and experience all that UWA has to offer
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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 (...)
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Friday 16 |
15:00 - SEMINAR - Groups and Combinatorics Seminar, Decomposing tensor products over fields of small characteristic
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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 (...)
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Friday 23 |
15:00 - SEMINAR - Groups and Combinatorics Seminar, Breaking symmetries of infinite graphs
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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 (...)
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Friday 30 |
15:00 - SEMINAR - Groups and Combinatorics Seminar, The structure of 3-separations of matroids
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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.
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September 2013
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Friday 06 |
15:00 - SEMINAR - Groups and Combinatorics Seminar, Connections between Graph Theory & Combinatorics on Words
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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 (...)
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Friday 13 |
15:00 - SEMINAR - Groups and Combinatorics Seminar, On The Non-commuting Graph
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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 (...)
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Friday 20 |
15:00 - SEMINAR - Groups and Combinatorics Seminar, Generalised quadrangles constructed from groups
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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.
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Wednesday 25 |
11:00 - SEMINAR - Mathematics Colloquium: The Cohen-Lenstra heuristics: from arithmetic to topology and back again
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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 (...)
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Friday 27 |
15:00 - SEMINAR - Groups and Combinatorics Seminar, Straight-line programs with memory and applications to computational group theory
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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 (...)
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October 2013
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Friday 11 |
15:00 - SEMINAR - Groups and Combinatorics Seminar, Multiply tiling Euclidean space by translating a convex object
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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 (...)
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Friday 18 |
15:00 - SEMINAR - Groups and Combinatorics Seminar, Regular orbits of Sym(n) and Alt(n) on irreducible representations
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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 (...)
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Friday 25 |
15:00 - SEMINAR - Groups and Combinatorics Seminar, Coprime actions of finite linear groups
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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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November 2013
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Friday 01 |
15:00 - SEMINAR - Groups and Combinatorics Seminar, Algebraic geometry codes
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Abstract:
Codes arising from algebraic geometry, first introduced by Goppa, gained attention when Tsfasman–Vladut–Zink used them to improve the Gilbert-Varshamow bound. We will give a gentle introduction to some of the beautiful ideas from algebraic geometry used to build these (...)
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Friday 15 |
15:00 - SEMINAR - Groups and Combinatorics Seminar, A miscellany of topics related to semiregular graph automorphisms
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Abstract :
I will discuss a few things, all related to semiregular graph automorphisms : the polycirculant conjecture, the abelian normal quotient method, an interesting class of graphs...
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Monday 18 |
In 1950’s Fermi, motivated by fundamental questions of statistical mechanics, started a numerical experiment in collaboration with Pasta and Ulam to test the ergodic properties of nonlinear dynamical systems. The chosen so-called FPU system was a one dimensional chain of N nonlinear coupled (...)
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Friday 22 |
Self-avoiding walks (SAWs) are widely studied as a problem in algebraic combinatorics by mathematicians, as a problem in algorithm design by computer scientists, as a model of phase transitions by mathematical physicists and as a model of polymers in dilute solution by chemists.
More (...)
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