Séminaire de Géométrie Arithmétique Paris-Pékin-Tokyo

Hodge index theorem for adelic line bundles

par Prof. Xinyi YUAN (Université de Berkeley)

Europe/Paris
Centre de conférences Marilyn et James Simons (IHES)

Centre de conférences Marilyn et James Simons

IHES

Le Bois Marie 35, route de Chartres 91440 Bures-sur-Yvette
Description
The Hodge index theorem of Faltings and Hriljac asserts that the Neron-Tate height pairing on a projective curve over a number field is equal to a certain intersection pairing in the setting of Arakelov geometry. In the talk, I will present an extension of this result to adelic line bundles on higher dimensional varieties over finitely generated fields. Then I will talk about its relation to the non-archimedean Calabi-Yau theorem and its application to algebraic dynamics. This is a joint work with Shou-Wu Zhang.

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