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Final Program

All talks were given in the Hauptgebäude, Templergraben 55: On Friday (including the "Graduiertenkolleg" talk) in Hörsaal IV and on Saturday in Hörsaal III.

Note that none of the speakers has won extra minutes from the conference game.

Friday, December 10, 2004

2.00-2.23pm Jon Thackray (Cambridge): The 2-modular representations of Conway's group Co1, some work in progress
2.26-2.43pm Olivier Brunat (Lyon): On the characters of the Suzuki and Ree group
coffee and discussion       
(from 3.15-4.15pm there is a talk in the "Graduiertenkolleg" by
Julia Hartmann with title Differential Galois groups) [Abstract]
4.31-4.52pm Magdolna Szőke (Budapest): Computing decompositions of modules over finite dimensional algebras
We study the problem of decomposing a finite dimensional module over an algebra. An algorithm is given to compute a decomposition, which has been implemented in the C-Meat-Axe. Finally, we compare our implementation with the MAGMA-procedure IndecomposableSummands.
5.00-5.19pm Heiko Dietrich (Braunschweig): On the groups of cube-free order
We analyze the structure of the groups of cube-free order and, based on this, we present an algorithm for constructing these groups up to isomorphism.
5.26-5.48pm Max Neunhöffer (Aachen): Generalized sifting
7.00pm-?? Research Cambridge Style! (in the Greek restaurant AGORA, Gerlachstr. 20-22)

Saturday, December 11, 2004

10.02-10.22amStefan Kohl (Stuttgart): On the structure of the group of all residue class-wise affine permutations of the integers
Residue class-wise affine groups are a type of permutation groups over infinite sets which are accessible to computations. They naturally arise as groups of homoeomorphisms of suitable rings endowed with a topology by taking the set of all residue classes as a basis.
The talk will provide some information about the structure of the group of all residue class-wise affine permutations of the integers without going into technical details, and illustrate this with some nice examples of elements of the mentioned group.
10.30-10.53amJanka Pilnikova (Linz): Rational parametrization of del Pezzo surfaces of degree 9
For del Pezzo surfaces of degree 9 the algebra associated to the group of automorphisms of the surface can be very effectively used for finding a rational parametrization. In the talk we explain how the construction of a simple module of the algebra gives an isomorphism of the surface and the projective plane.
11.01-11.26amJürgen Müller (Jena): Moduli spaces and modular invariants
We show how a problem about a certain moduli space of curves can be solved using modular invariant theory of finite groups and methods from computational commutative algebra and computational representation theory.
11.31-11.48amJean-Baptiste Gramain (Lyon): Generalized perfect isometries in some groups of Lie rank one
We prove a (weak) analogue of Broué's conjecture, exhibiting generalized perfect isometries in three families of groups where there is none in the sense of Broué (we study Suzuki Groups, Ree Groups of type G2, and special unitary groups SU(3,q2) ).
lunch break
1.52-2.14pmWillem de Graaf (Linz): Constructing finitely-presented Lie rings
I will describe an algorithm for constructing a multiplication table of a finitely-presented Lie ring that happens to be finite-dimensional.
2.21-2.42pmColva M. Roney-Dougal (St Andrews): The primitive groups of degree less than 2500
2.50-3.11pmSimon Nickerson (Birmingham): Semi-presentations for sporadic simple groups
Standard generators for the sporadic simple groups have been defined by R. A. Wilson for the Web Atlas of Finite Group Representations. We describe methods of checking that a pair of elements in a black box group (isomorphic to a sporadic simple group or the automorphism group of a sporadic simple group) is a pair of standard generators.
coffee break
4.35-4.55pmBeth Holmes (Birmingham): Subgroup coverings of groups
A subgroup covering of a group is a set of subgroups whose union contains every element of the group. Some people are interested in calculating the minimal sizes of subgroup coverings of simple groups.
5.00-5.25pmMax Horn (Darmstadt): Computations with geometric amalgams
In a project by Gramlich, Hoffman, Nickel and Shpectorov the simple connectedness of certain flag-transitive sub-geometries of spherical twin buildings is investigated. For the geometries belonging to the symplectic groups, the cases Sp(6,3), Sp(6,4), Sp(6,5), Sp(6,7) and Sp(8,2) are still open. A computer-based construction for the groups Sp(6,3), Sp(6,4), Sp(6,5) and Sp(8,2) is presented which yields the simple connectedness for the corresponding geometries using coset enumeration.
5.30-5.50pmJohn Bray (London): Good bases for lattices
7.00pm-?? Research Cambridge Style! (in the "Labyrinth")

Anyone was welcome to attend the talks.                  Frank Lübeck

Final Version ( Tue, 14 Dec 2004 11:59:39 +0100 )