Jeffrey Hakim

Distinguished tame supercuspidal representations and odd orthogonal periods

We further develop and simplify the general theory of distinguished tame supercuspidal representations of reductive

Supercuspidal Gelfand pairs

p

Applications of Bruhat decompositions to complex hyperbolic geometry

-adic groups due to Hakim and Murnaghan, as well as the analogous theory for finite reductive groups due to Lusztig. We apply our results to study the representations of

The Moduli Space of n+1 Points in Complex Hyperbolic n-Space

{\rm GL}_n(F)

Standard position for objects in hyperbolic space

, with

Supercuspidal representations and symmetric spaces

n

Distinguished Tame Supercuspidal Representations

odd and

Two types of distinguished supercuspidal representations

F

Tame Supercuspidal Representations of GL( n ) Distinguished by a Unitary Group

a nonarchimedean local field, that are distinguished with respect to an orthogonal group in

Globalization of Distinguished Supercuspidal Representations of GL(n)

n