$2$-adic slopes of Hilbert modular forms over $\mathbb{Q}(\sqrt{5})$

Abstract

We show that for arithmetic weights with a fixed finite order character, the slopes of Up for p = 2 (which is inert) acting on overconvergent Hilbert modular forms of level U 0 (4) are independent of the (algebraic part of the) weight and can be obtained by a simple recipe from the classical slopes in parallel weight 3.