Status | Confirmed |
Seminar Series | MATH-IHES |
Subjects | hep-th |
Date | Wednesday 1 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 (1/4) |
Abstract | Let X be a semi-stable arithmetic surface of genus at least two and $\omega$ 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 $\omega$. 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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