Under a stronger genericity condition, we prove the local analogue of ghost conjecture of
Bergdall and Pollack. As applications, we deduce in this case (a) a folklore conjecture of …

In this article, we prove the existence of rigid analytic families of $ G $-stable lattices with
locally constant reductions inside families of representations of a topologically compact …

Abstract We determine reductions of $2 $-dimensional, irreducible, semistable, and non-
crystalline representations of $\mathrm {Gal}\left (\overline {\mathbb {Q}} _p/\mathbb {Q} …

In this paper we investigate the (classical) weights of mod p Siegel modular forms of degree
2 toward studying Serre's conjecture for GS p 4/Q. We first construct various theta operators …

Let Π be a cuspidal automorphic representation of GL 2 n (AQ), and let p be an odd prime at
which Π is unramified. In a recent work, Barrera, Dimitrov and Williams constructed possibly …

Under some assumptions, we prove the rank-part of the Mazur–Tate refined conjecture of
BSD type. More concretely, we prove that the rank of the Selmer group of an elliptic modular …

We compute the Iwasawa invariants of Mazur-Tate elements for cuspidal newforms with $
a_p= 0$ in terms of the Iwasawa invariants of the plus/minus parts of the $ p $-adic $ L …

A simplified proof of Serre’s conjecture | Revista de la Real Academia de Ciencias Exactas,
Físicas y Naturales. Serie A. Matemáticas Skip to main content SpringerLink Account Menu …

Let p be a prime number and F be a finite extension of Qp. We established an algorithm to
compute the semisimplification of the reduction of some irreducible two dimensional …