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Groups definable in separably closed fields and algebraic groups: definable simplicity and "pseudo-simple" groups

Tuesday 25th January 2005 - 16:00 to 17:30
INI Seminar Room 1

Many questions which we can answer in the case of superstable groups remain open for stable not superstable groups: existence of an infinite definable abelian subgorup, link between definable simplicity and simplicity for example. Separably closed fields are a good place to test all these questions. In the case of definably simple groups, one is led rapidly to interesting questions about the classification of pseudo-reductive algebraic groups over separably closed fields (in the terminology of Tits).

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