ERC Research Period on Diophantine Geometry

Nonvanishing of L-values in cyclotomic families via p-adic L-functions (30')

speaker: Jeanine Van Order (École Polytechnique Fédérale de Lausanne )

abstract: I will present a generalization of Mazur's conjectures to the non self-dual setting, especially to Rankin-Selberg L-functions of two GL₂ forms with one cyclotomic variable (which via Iwasawa main conjectures applies to bounding Mordell-Weil rank in abelian towers of imaginary quadratic fields). In particular, I will present an asymptotic proof of this conjecture that uses only the existence of some associated p-adic L-function(s). If time permits, then I will also explain some open questions and directions for future research.

timetable:
Thu 4 Oct, 16:30 - 17:10, Sala Conferenze Centro De Giorgi
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