## Higher Hida and Coleman theory for the modular curve

About the article with the same name, by G.Boxer and V.Pilloni

## Boxer – Pilloni: defining families

## Serre duality

About Boxer-Pilloni, section 4.3

## Unobstruced deformation problems for GSp(4)

Let pi be an automorphic representation of GSp(4) with an associated compatible family of p-adic Galois representations.

## p-adic periods and proximity of points

Given a curve over the rational numbers of genus bigger than one, how p-adically close together can its rational points be?

## Tame derivatives and the Eisenstein ideal

As was made famous by Mazur, the mod-5 Galois representation associated to the elliptic curve X_0(11) is reducible.

## On the Iwasawa theory of rational elliptic curves at Eisenstein primes

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.

## Complex multiplication for real quadratic fields and p-adic modular forms of weight 3/2

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 Zagierâ€™s “analytic proof” of their celebrated theorem on the factorisation of differences…

## Stark’s conjectures and Hilbert’s 12th Problem

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.

## Theta series and (singular) theta lifts

In this talk we give an introduction to theta series and theta lifts and its representation-theoretic background.