We prove a result involving root systems that implies a converse to Mazur’s inequality for all split groups, conjectured by Kottwitz and Rapoport (see e.g. [6]). This was previously known for classical groups (see e.g. [7]) and G2 (see e.g. [3]).

We study special cycles on integral models of Shimura varieties associated with unitary similitude groups of signature (n−1, 1). We construct an arithmetic theta lift from harmonic Maass forms of weight 2 − n to the arithmetic Chow group of the integral model of a unitary Shimura variety, by associating to a harmonic Maass form f a linear combination of Kudla– Rapoport divisors, equipped with t...

AMOS is a newly developed computer code that is finding application in the design of accelerator cavities. The program simulates the temporal evolution of electromagnetic fields in rotationally symmetric structures. An explicit Fourier series expansion is assumed in the azimuthal coordinate, which allows different multipole modes to be simulated independently. Nonuniform electrical properties (...