Magma Workshop on Group Theory and Algebraic Geometry

22-26 August 2005

A workshop on the Computer Algebra system Magma and its use in group theory and algebraic geometry was held on 22 - 26 August 2005 at the Mathematics Institute, University of Warwick, Coventry, UK.

This meeting was organized by
Derek Holt (dfh@maths.warwick.ac.uk), Gavin Brown (gavinb@maths.warwick.ac.uk) and John Cannon (john@maths.usyd.edu.au).

Slides of talks

Click here to see the slides of some of the talks that took place at the meeting, or here if to see the timetable of talks.

Description

A workshop on computational methods in group theory and algebraic geometry, in the context of the Computer Algebra system Magma. The meeting was particularly concerned with exploring interactions between computational group theory and computational algebraic geometry. This was the fourth in a series of Magma conferences: the previous one was held at Institute Henri Poincaré, Paris, October 4 - 8, 2004.

Themes

  • Group theory
  • Representation theory
  • Lie theory
  • Algebraic geometry
  • Arithmetic geometry

    Abstracts of talks

    Click on the name for title and abstract of the talk given at the meeting.

  • Jon Carlson (Athens, GA),
  • John Coates (Cambridge),
  • Henrik Bäärnhielm (Queen Mary),
  • John Bray (Queen Mary),
  • Peter Brooksbank (Ohio),
  • Gavin Brown (Warwick/Kent),
  • Nils Bruin (Simon Fraser),
  • John Cremona (Nottingham),
  • Tim Dokchitser (Edinburgh),
  • Bettina Eick (Braunschweig),
  • Tom Fisher (Cambridge),
  • Peter Fleischmann (Canterbury),
  • Willem de Graaf (Trento),
  • Steven Galbraith (Royal Holloway),
  • Hans-Christian Graf von Bothmer (Hannover),
  • Sergei Haller (Giessen),
  • Michael Harrison (Sydney),
  • Florian Hess (Berlin),
  • Derek Holt (Warwick),
  • Dimitri Leemans (Brussels),
  • Steve Linton (St Andrews),
  • Scott Murray (Sydney),
  • Eamonn O'Brien (Auckland),
  • Janka Pilnikova (Linz),
  • Bernardo Rodrigues (Durban),
  • Colva Roney-Dougal (St Andrews),
  • James Shank (Canterbury),
  • Josef Schicho (Linz),
  • Samir Siksek (Oman/Warwick),
  • Mark Stather (Warwick),
  • Michael Stoll (Bremen),
  • Don Taylor (Sydney),
  • Mike Vaughan-Lee (Oxford),
  • Bill Unger (Sydney),
  • Mark Watkins (Sydney).
  • Götz Wiesend (Essen)

    Activities

    The meeting was built around the following types of activities:

  • Lectures describing recent advances in algorithmic methods
  • Talks describing significant applications of Magma to one of the thematic areas.
  • Talks discussing future directions for computational methods in the thematic areas.
  • Tutorials on the use of Magma in the following areas:
    1. Finite permutation and matrix groups
    2. Representation theory
    3. Schemes
    4. Algebraic curves

    Conference funding

    Some LMS funding was available to provide expenses for speakers, and limited travel and subsistence support for graduate students based within the UK.