This file can be used to add scheduled events to your calendar, however every program is unique. Below you will find what information is available, but if nothing else works try creating a new calendar in your program and using
Explicit formulas for spherical Whittaker functions on GL(n,R) were obtained by Stade around 1990. As an application, Stade computed archimedean zeta integrals for automorphic L-functions on GL(n)×GL(n) and GL(n)×GL(n-1). In this talk, I will discuss joint work with Stade on extending these results to classical groups.
Archimedean Whittaker functions and archimedean zeta integrals Sponsored by the Meyer Fund
Tue, Sep. 15 11pm (350)
Jamie Juul (Colorado State University)
X
Iterating a polynomial or rational function produces a tree of preimages of a point, and the Galois group of the resulting tower of fields acts on this tree by symmetries — a dynamical analogue of the Galois representations attached to elliptic curves, and a natural place to ask how large this group of symmetries can be. I will describe a general criterion, based only on the combinatorics of a map's critical orbits, that determines whether this group is as large as possible, and if not, exactly how it falls short at every level. Along the way I'll work out an explicit family of examples where all the critical orbits eventually collide, and describe how recent work of König, Neftin, and Rosenberg makes the criterion apply automatically to a broad class of polynomials.
Rational Functions with Large Iterated Monodromy Groups
Archimedean Whittaker functions and archimedean zeta integrals