The invariant trace formula. II. Global theory

The Invariant Trace Formula. Ii. Global Theory

The purpose of this article is to prove an explicit invariant trace formula. In the preceding paper [1 (j)], we studied two families of invariant distributions. Now we shall exhibit these distributions as terms on the two sides of the invariant trace formula. We refer the reader to the introduction of [l (j)], which contains a general discussion of the problem. In this introduction, we shall de...

The Invariant Trace Formula . 11 . Global Theory

The purpose of this article is to prove an explicit invariant trace formula. In the preceding paper [l(j)] , we studied two families of invariant distributions. Now we shall exhibit these distributions as terms on the two sides of the invariant trace formula. We refer the reader to the introduction of [1 (j)], which contains a general discussion of the problem. In this introduction, we shall de...

The Invariant Trace Formula. I. Local Theory

Arithmetic invariant theory II

2 Lifting results 4 2.1 Pure inner forms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.2 Twisting the representation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.3 Rational orbits in the twisted representation . . . . . . . . . . . . . . . . . . . . . . . 5 2.4 A cohomological obstruction to lifting invariants . . . . . . . . . . . . . . . ...

Eisenstein Series and the Selberg Trace Formula. Ii

The integral of the kernel of the trace formula against an Eisenstein series is investigated. The analytic properties of this integral imply the divisibility of the convolution L-function attached to a form by the zeta function of the field. Introduction. This paper is a sequel and generalization of [12], but can be read independently of that paper; in particular, we will repeat the description...