14 papers
A universal Euler system for GSp(4)
David Loeffler, Sarah Livia Zerbes
In our earlier work with Christopher Skinner (J. Eur. Math. Soc 24 (2022), no. 2; DOI 10.4171/JEMS/1124; Arxiv 1706.00201), we constructed Euler systems for the 4-dimensional spin…
On the Bloch-Kato conjecture for GSp(4)
David Loeffler, Sarah Livia Zerbes
We prove an explicit reciprocity law for the Euler system attached to the spin motive of a genus 2 Siegel modular form. As consequences, we obtain one inclusion of the Iwasawa Main…
On the factorisation of the -adic Rankin-Selberg -function in the supersingular case
Alessandro Arlandini, David Loeffler
Given a cusp form which is supersingular at a fixed prime away from the level, and a Coleman family through one of its -stabilisations, we construct a -variable m…
P-adic Asai L-functions for quadratic Hilbert eigenforms
Giada Grossi, David Loeffler, Sarah Livia Zerbes
We construct p-adic Asai L-functions for cuspidal automorphic representations of GL2 / F, where F is a real quadratic field in which p splits. Our method relies on higher Hida theo…
Ultra-Kolyvagin systems and non-ordinary Selmer groups
David Loeffler, Sarah Livia Zerbes
We develop a machine for bounding Selmer groups of Galois representations via Euler systems in "non-ordinary" settings, using Pottharst's definition of Selmer groups via Robba-ring…
P-adic L-functions for GL(3)
David Loeffler, Chris Williams
Let be a regular algebraic cuspidal automorphic representation (RACAR) of . When is -nearly-ordinary for the maximal standard p…