Past Seminars- Algebra

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  • Jacob Greenstein
    Thu Jun 10, 2010
    2:00 pm
    A classical result in Lie theory stipulates that a simple (but not simply laced) finite dimensional Lie algebra can be constructed as the subalgebra of a Lie algebra of type ADE fixed by an admissible automorphism of the Dynkin diagram of the latter. This construction is called a "folding" (since the Dynkin diagram of the fixed point subalgebra...
  • Karen Chandler
    Thu Jun 3, 2010
    2:00 pm
  • Alessandra Pantano
    Thu May 27, 2010
    2:00 pm
    The theory of unitary representations originated in the past century as a natural evolution of classical Fourier analysis. In spite of the extremely significant contributions made by Langlands, Harish-Chandra and many other mathematicians, the problem of finding \emph{all} the unitary irreducible representations of a real reductive group remains...
  • Radmila Sazdanovic
    Thu May 13, 2010
    2:00 pm
  • Professor Michael Fried
    Thu Apr 15, 2010
    2:00 pm
    Modular curves are the most famous example of the title. As moduli space towers they exhibit a "Frattini property," based on their monodromy groups as covers of the j-line. Using the goals of Serre's "l-adic representations" book I will treat, in parallel, two cases of general ideas. Modular curves here derive from the semi-direct product of Z/2...
  • Robert Guralnick
    Thu Apr 8, 2010
    2:00 pm
    We shall discuss some results which classify the smallest degree representations of simple groups. We will then discuss various applications of these ideas including the solution of a conjecture of Serre on semisimplicity of certain representations and a conjecture of Kollar and Larsen on the non-irreducibility of symmetric powers.
  • Rachel Pries
    Thu Nov 5, 2009
    2:00 pm