About the article with the same name, by G.Boxer and V.Pilloni
About Boxer-Pilloni, section 4.3
Let pi be an automorphic representation of GSp(4) with an associated compatible family of p-adic Galois representations.
Given a curve over the rational numbers of genus bigger than one, how p-adically close together can its rational points be?
As was made famous by Mazur, the mod-5 Galois representation associated to the elliptic curve X_0(11) is reducible.
Let E/Q be an elliptic curve, and p>2 a prime where E has good reduction. In the study of Iwasawa theory of E, it is common to assume that p is a non-Eisenstein prime, meaning that E[p] is irreducible as a Galois module.
I will describe how the algebraicity of the RM values of rigid meromorphic cocycles might be deduced from the study of the ordinary projections of certain p-adic modular forms of half integral weight, following an approach that is closely modelled on Gross and Zagier’s “analytic proof” of their celebrated theorem on the factorisation of differences…
In this talk we will discuss two central problems in algebraic number theory and their interconnections: explicit class field theory (also known as Hilbert’s 12th Problem), and the special values of L-functions.
In this talk we give an introduction to theta series and theta lifts and its representation-theoretic background.