Giovanni Rosso (Columbia & Paris 13)
Derivative of the symmetric square p-adic L-function via pull-back formula

Let f be a weight k modular form Steinberg at p. Under certain hypotheses on the conductor of f, we give a formula for the derivative at s=k-1 of the symmetric square p-adic L-function of f, thus proving a conjecture of Benois on trivial zeros.\\ Crucial is the construction of the p-adic L-function by B\"ocherer et Schmidt which we will recall.