We formulate a local analogue of the ghost conjecture of Bergdall and Pollack, which
essentially relies purely on the representation theory of GL 2 (Q p). We further study the …

We reduce the chromatic Iwasawa main conjecture for elliptic curves to the conjectured
existence of certain Beilinson–Flach classes in the supersingular case. This generalizes the …

This article explains how to practically compute L-invariants of p-new eigenforms using p-
adic L-series and exceptional zero phenomena. As proof of the utility, we compiled a data …

For a profinite group $ G $ and a rigid analytic space $ X $, we study when an $\mathcal
O_X (X) $-linear representation $ V $ of $ G $ admits a lattice, ie an $\mathcal O_ {\mathcal …

Let $ p\geq 5$ be a prime. Let $ k= b+ c (p-1) $ be an integer in $[2p+ 2, p^ 2-p+ 3] $, where
$ b\in [2, p] $ and $ c\in [2, p-1] $. We prove local constancy in the weight space of the mod …

Let $ p\geq 3$ be a prime number and $ K $ be a quadratic imaginary field in which $ p $
splits as $\mathfrak {p}\overline {\mathfrak {p}} $. Let $\mathcal {F} $ be a cuspidal Bianchi …

Fix a prime number $ p> 2. $ Let $\rbar:\Gal (\overline {\Q} _p/\Q_p)\to\GL_2 (\overline {\F}
_p) $ be an absolutely irreducible residual representation. In this paper, we describe an …

We determine semisimple reductions of irreducible, 2-dimensional crystalline
representations of the absolute Galois group Gal (Q p/Q pf). To this end, we provide explicit …

TRIANGULINE LIFTS IN POSITIVE CHARACTERISTIC 1. Introduction Let ρ : Gal K → GL d(Fp) be
a continuous Galois representation. Page 1 TRIANGULINE LIFTS IN POSITIVE …

In this article we study local constancy of the mod p reduction of certain 2-dimensional
crystalline representations of Gal Q¯ p/Q p using the mod p local Langlands …