109 citations · 693 across the 41 of their papers we have counts for
6 papers · 2 filters
On p-adic regulators for GSp(4) x GL(2) and GSp(4) x GL(2) x GL(2)
David Loeffler, Sarah Livia Zerbes
We compute the images of motivic cohomology classes for GSp(4) x GL(2) and GSp(4) x GL(2) x GL(2) under the syntomic regulator, and relate them to non-critical values of p-adic L-f…
P-adic L-functions and diagonal cycles for GSp(4) x GL(2) x GL(2)
David Loeffler, Sarah Livia Zerbes
We develop a (largely conjectural) theory of p-adic L-functions interpolating square roots of central L-values for automorphic forms on GSp(4) x GL(2) x GL(2), and a relation betwe…
An Euler system for GU(2, 1)
David Loeffler, Christopher Skinner, Sarah Livia Zerbes
We construct an Euler system associated to regular algebraic, essentially conjugate self-dual cuspidal automorphic representations of GL(3) over imaginary quadratic fields, using t…
Iwasawa theory for quadratic Hilbert modular forms
David Loeffler, Sarah Livia Zerbes
We study the Iwasawa main conjecture for quadratic Hilbert modular forms over the p-cyclotomic tower. Using an Euler system in the cohomology of Siegel modular varieties, we prove…
On the Bloch--Kato conjecture for the symmetric cube
David Loeffler, Sarah Livia Zerbes
We prove one inclusion of the Iwasawa Main Conjecture, and the Bloch-Kato conjecture in analytic rank 0, for the symmetric cube of a level 1 modular form.
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…