Reda Boumasmoud

collaborators

4 papers

math.NT2021

General Horizontal Norm Compatible Systems on unitary Shimura varieties

Reda Boumasmoud

The ultimate goal of the paper is to construct a novel norm-compatible family of cycles appearing in the context of Gross--Gan--Prasad cycles arising from Shimura varieties attache…

math.NT2021

Seed Relations for Eichler--Shimura congruences and Euler systems

Reda Boumasmoud

This paper proves that the $U$ -operator attached to a cocharacter is a right root of the corresponding Hecke polynomial. This result is an important ingredient in the proo…

math.NT2021

The ring of U-operators: Definitions and Integrality

Reda Boumasmoud

In this paper, we define and study the arithmetic of the ring of $U$ -operators for reductive $p$ -adic groups. These operators generalise the notion of "successor" operator…

math.RT2021

A tale of parahoric--Hecke algebras, Bernstein and Satake homomorphisms

Reda Boumasmoud

Let $G$ be a connected reductive group over a {non-archimedean local field} $F$ . Let $K_{F}$ be the parahoric subgroup attached to a facet $F$ in the Bru…