Loren Spice

Supercuspidal characters of reductive p-adic groups

We compute the characters of many supercuspidal representations of reductive

Good Product Expansions for Tame Elements of p-Adic Groups

p

On the computability of some positive-depth supercuspidal characters near the identity

-adic groups. Specifically, we deal with representations that arise via Yus construction from data satisfying a certain compactness condition. Each character is expressed in terms of a depth-zero character of a smaller group, the (linear) characters appearing in Yus construction, Fourier transforms of orbital integrals, and certain signs and cardinalities that are described explicitly in terms of the datum associated to the representation and of the element at which the character is evaluated.

Stability of character sums for positive-depth, supercuspidal representations

We show that, under fairly general conditions, many elements of a p-adic group can be well approximated by a product whose factors have properties that are helpful in performing explicit character computations.

Topological Jordan decompositions

This paper is concerned with the values of Harish-Chandra characters of a class of positive-depth, toral, very supercuspidal representations of

SUPERCUSPIDAL CHARACTERS OF SL l OVER A p-ADIC FIELD, l A PRIME

p

Harmonic Analysis on Reductive, -adic Groups

-adic symplectic and special orthogonal groups, near the identity element. We declare two representations equivalent if their characters coincide on a specific neighbourhood of the identity (which is larger than the neighbourhood on which Harish-Chandra local character expansion holds). We construct a parameter space

Paul J. Sally Jr. (1933–2013)

B

On counting orbits in root systems

(that depends on the group and a real number

Harmonic analysis on reductive, p-adic groups : AMS Special Session on Harmonic Analysis and Representations of Reductive, p-adic Groups, January 16, 2010, San Francisco, CA

r>0