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Monday, February 20, 2012

Mathematics Colloquium - Special Lecture 2011-12
4:00 pm   in 245 Altgeld Hall,  Monday, February 20, 2012
 Del Edit Copy
Submitted by kapovich.
 Benjamin Brubaker (MIT)Whittaker coefficients of Eisenstein seriesAbstract: The (Fourier-)Whittaker coefficients of Eisenstein series for reductive groups were explored by Langlands, whose computation of their constant terms partly inspired his famous functoriality conjectures. Since then, Whittaker coefficients of automorphic forms have played a starring role in the theory of L-functions and we discuss a few highlights. Much of this picture generalizes to certain finite covers of reductive groups, where we find surprising new expressions for the Whittaker coefficients of Eisenstein series involving crystal graphs and statistical mechanics. We'll define all of these terms in the course of the talk and argue by simple examples beginning with the zeta function, and is intended to be accessible to a wide audience. (This is joint work with various combinations of Dan Bump, Sol Friedberg, and Tony Licata)