## Kato’s Euler system

–

## Venerucci’s proof of the Mazur-Tate-Teitelbum conjecture in rank 1

–

## Kolyvagin’s Theorem I

–

## Kolyvagin’s Theorem II

–

## Diagonal cycles

–

## Cohomological interpretation of L-values

–

## On the exceptional zeros of p-adic L-functions of Hilbert modular forms

–

The use of modular symbols to attach p-adic Lfunctions to Hecke eigenforms goes back to the work of Manin et al in the 70s.

## Euler Systems – Introduction

–

We will start looking at the second part of “L-functions and Euler systems: a tale in two trilogies” (available at http://www.math.mcgill.ca/darmon/pub/Articles/Research/61.Durham-ES/durham.pdf), and distributing talks.

## Triple product p-adic L-functions and iterated integrals

–

I will explain A.Lauder’s approach to computing special values of Rankin triple product p-adic L-functions. These have quite striking applications to the arithmetic of elliptic curves, and appear in the “Elliptic Stark Conjecture” of Darmon-Lauder-Rotger.

## Hida-Rankin p-adic L-function

–

Second talk of the learning seminar on the Tale on 2 trilogies.