Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series MATH-IHES
Subjects hep-th
Date Wednesday 22 March 2017
Time 10:30
Institute IHES
Seminar Room Amphithéâtre Léon Motchane
Speaker's Last Name SoulÉ
Speaker's First Name Christophe
Speaker's Email Address
Speaker's Institution IHES
Title On the Arakelov theory of arithmetic surfaces (4/4)
Abstract Let X be a semi-stable arithmetic surface of genus at least two and ω the relative dualizing sheaf of X, equipped with the Arakelov metric. Parshin and Moret-Bailly have conjectured an upper bound for the arithmetic self-intersection of ω. They proved that a weak form of the abc conjecture follows from this inequality. We shall discuss a way of making their conjecture more precise in order that it implies the full abc conjecture (a proof of which has been announced by Mochizuki).
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