Discrete Algebra and Geometry Day

Groups, Algebras and Algorithms

March 18, 2010, Eindhoven University of Technology

A joint seminar of the research groups

Algebra and Group Theory, Universite Catholique de Louvain
Discrete Algebra and Geometry, Eindhoven University of Technology
Algebra, Ghent University

This meeting is sponsored by DIAMANT , NWO and Eidma.

10.00-10.30 Welcome with coffee and thee
10.30-10.40 Opening
10.45-11.30 G. Nebe (RWTH Aachen), Recognizing division algebras
11.45-12.30 A. Caranti (University of Trento), The group generated by the round functions of AES
12.30-13.30 Lunch
13.30-14.15 J. Draisma (TU Eindhoven), Constructing Lie algebras from extremal elements

For a finite graph Gamma we study Lie algebras with a distinguished set of generators corresponding to the nodes of Gamma which commute when the corresponding nodes in Gamma are not connected. By results of Kostrikin-Zelmanov and Cohen-Steinbach-Ushirobira-Wales there is a uniform bound on the dimension of such Lie algebras depending only on Gamma. We show that the "moduli space" of those Lie algebras (with distinguished generators) that attain the maximal possible dimension carries a natural structure of a finite-dimensional affine variety. For particular graphs Gamma, this variety has been found to be an affine space and the existence of a "generic" Lie algebra has been proved. I will review work by in 't panhuis, Postma, Roozemond, and myself to that effect.

14.30-15.15 W. Kantor (University of Oregon, Eugene), Recognizing groups of Lie type
15.15-15.20 Closing

The morning session will take place in room AUD10, the afternoon session in AUD16 of the Auditorium of the TU Eindhoven.

If you want to join the (free) lunch, please register by sending an email to our secretary before March 12.

For more information see the following webpages:

PhD-defence of Dan Roozemond
Route to TU Eindhoven
Map of campus
Hotel and Tourist information

or contact the organiser:

Hans Cuypers
Department of Mathematics
Eindhoven University of Technology