Sydney University Algebra Seminar

    University of Sydney

    School of Mathematics and Statistics

    Algebra Seminar

    Ben Martin
    University of Sydney

    Representations into a reductive subgroup of a reductive group.

    Friday 10th March, 12-1pm, Carslaw 175.

    Let H be a reductive subgroup of a reductive linear algebraic group G, and let F be a finitely generated group. In 1996, Vinberg gave a beautiful proof of a finiteness theorem, valid over a field of characteristic zero, relating representations of F in H to representations of F in G. I will give some background to this theorem and relate it to a question involving characters of representations. Then I will describe how I hope to generalise Vinberg's result to arbitrary characteristic.