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).
arXiv Preprint Number
Comments Cours de l'IHES

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