The article gives explicit values of some constants which appear in the character formula for the irreducible supercuspidal representation of GLl(F ) for F a local field of the residual characteristic p = l.

Let F be a non-archimedean local field with odd residual characteristic. Let G be the group SL2(F ). We construct explicit Whittaker models for any supercuspidal representation of G with positive level.

This paper studies the Fourier expansion of Hecke-Maass eigenforms for GL(2,Q) of arbitrary weight, level, and character at various cusps. It is shown that the Fourier coefficients at a cusp satisfy certain very explicit multiplicativity relations. As an application, it is proved that a local representation of GL(2,Qp) which is isomorphic to a local factor of a global cuspidal automorphic repre...

We compute the local coefficient attached to a pair ( π 1 , 2 stretchy="fal...

We prove a 1979 conjecture of Lusztig on the cohomology of semi-infinite Deligne– Lusztig varieties attached to division algebras over local fields. We also prove the two conjectures of Boyarchenko on these varieties. It is known that in this setting, the semi-infinite Deligne–Lusztig varieties are ind-schemes comprised of limits of certain finite-type schemes Xh. Boyarchenko’s two conjectures ...

We give a geometric proof of a “parity-switching” phenomenon that occurs when applying the local Langlands and Jacquet–Langlands correspondence to a self-dual supercuspidal representation ofGL(n) over a nonarchimedean local field. This turns out to reflect a duality property on the self-dual part of the `-adic étale cohomology of the Lubin–Tate tower.

Anomalies in intertemporal choice (e.g. hyperbolic discounting, subadditive discounting, a sign effect, a magnitude effect, and a delay-speedup asymmetry) have been investigated in neuroeconomics and behavioral neuroeconomics. In this study we propose a “tempospect” theory of intertemporal choice which can account for these anomalies in intertemporal choice. The key features of the present theo...