Orateur
Dimitar Jetchev
(EPFL)
Description
In this talk, I will report on recent results on the computation of the p-part of the leading term of the L-function of a modular form of arbitrary weight at the central point in the cases when the order of vanishing is at most one. Unlike the classical case of weight 2 modular forms, qualitatively different arguments are needed in the higher-weight case. After explaining the difference, I will indicate how one can use level-raising and (non-ordinary) p-adic deformations together with some of the arguments in weight 2 to obtain results in the case of general weights.
This is joint work with Chris Skinner and Xin Wan.
