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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...
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Karen Chandler
Thu Jun 3, 2010
2:00 pm
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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...
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Radmila Sazdanovic
Thu May 13, 2010
2:00 pm
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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...
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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.
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Rachel Pries
Thu Nov 5, 2009
2:00 pm
