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Rob de Jeu will speak on

Conjectures (and results) on Artin p-adic L-functions

After an introduction to and review of such p-adic L-functions, we discuss conjectures and results (partly computational) on their zeroes. This includes non-vanishing at non-zero integers, which is motivated by applications, and itself generalises the Leopoldt conjecture (for totally real number fields). We also discuss some statistical evidence for the behaviour of the constant term of the underlying Iwasawa series in certain cases.

This is joint work with X.-F. Roblot.