109 citations · 909 across the 63 of their papers we have counts for
62 papers · 1 filter
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…
The Asai--Flach Euler system in -adic families
David Loeffler, Arshay Sheth
We show that the Euler system for the Asai representation corresponding to a Hilbert modular eigenform over a real quadratic field, constructed by Lei, Loeffler and Zerbes (2018),…
Formalizing zeta and L-functions in Lean
David Loeffler, Michael Stoll
The Riemann zeta function, and more generally the L-functions of Dirichlet characters, are among the central objects of study in number theory. We report on a project to formalize…
Poles of p-adic Asai L-functions and distinguished representations
David Loeffler, Sarah Livia Zerbes
We give a criterion in terms of p-adic Asai L-functions for a cuspidal automorphic representation of GL(2) over a real quadratic field to be a distinguished representation, providi…
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…
Asai-Flach classes, p-adic L-functions and the Bloch-Kato conjecture for GO(4)
Giada Grossi, David Loeffler, Sarah Livia Zerbes
We prove the Bloch-Kato conjecture for critical values of Asai L-functions of p-ordinary Hilbert modular forms over quadratic fields (with p split); and one inclusion in the Iwasaw…