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Computational methods for exceptional groups

Presented by: 
Adam Thomas
Date: 
Wednesday 29th January 2020 - 09:10 to 10:00
Venue: 
INI Seminar Room 1
Abstract: 
This talk will contain no new algorithms or methods for computation in groups. Instead, I will describe my (ab)using of existing algorithms (in Magma) to help study the structure of exceptional algebraic groups, their Lie algebras and the exceptional finite groups of Lie type. Such computational methods have guided me and often formed part of the argument in lots of my work, including joint projects with Tim Burness, Alastair Litterick and David Stewart.

These applications have included representation theory, especially calculating cohomology groups, intersection of subgroups and construction of subgroups. The talk will include many open-ended (and impossible-to-answer) questions about the finite groups of Lie type machinery and related algorithms, which will hopefully be helpful to other users in the audience.


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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons