Let L be a finite extension of Qp. We construct a (p-adic local Langlands) correspondence
attaching to any irreducible, 2-dimensional, L-representation of GQp, a unitary, admissible …

1.1. The local-global compatibility conjecture. Fix a prime p, as well as a finite extension E of
Qp. If Kp is an open subgroup of GL2 (Zp)(referred to as a “tame level”), then one can define …

p-adic L-functions and Euler systems: a tale in two trilogies Page 63 3 p -adic L -functions and
Euler systems: a tale in two trilogies Massimo Bertolini, Francesc Castella, Henri Darmon, Samit …

arXiv:1706.00201v4 [math.NT] 26 Jan 2021 Page 1 EULER SYSTEMS FOR GSP(4) DAVID
LOEFFLER, CHRISTOPHER SKINNER, AND SARAH LIVIA ZERBES Abstract. We construct an …

The present book is a new revised and updated version of “Number Theory I. Introduction to
Number Theory” by Yu. I. Manin and AA Panchishkin, appeared in 1989 in Moscow (VINITI …

Let g be an eigenform of weight k+ 2 on Γ0 (p)∩ Γ1 (N) with p∤ N. If g is non-critical (that is,
of slope less than k+ 1), using the methods of Amice–Vélu and Višik, one can attach …

Let p be a prime number and let E be an elliptic curve defined over ℚ of conductor N. Let K
be an imaginary quadratic field with discriminant prime to pN such that all prime factors of N …

In the first half of the article, we introduce the notion of the universal unitary completion of a
continuous representation of ap-adic reductive group on a locally convex p-adic vector …

Using the theory of $(\phi,\Gamma) $-modules we generalize Greenberg's construction of
the $\cal {L} $-invariant to $ p $-adic representations which are semistable at $ p $.\This …

We present a novel axiomatic framework for establishing horizontal norm relations in Euler
systems that are built from pushforwards of classes in the motivic cohomology of Shimura …