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Séminaire de Géométrie Arithmétique Paris-Pékin-Tokyo

On vanishing cycles and duality, after A. Beilinson

by Prof. L. ILLUSIE (Université Paris-Sud)

mercredi 14 décembre 2016 de au (Europe/Paris)
at IHES ( Centre de conférences Marilyn et James Simons )
Le Bois Marie 35, route de Chartres 91440 Bures-sur-Yvette
Description

It was proved by Gabber in the early 1980's that R\Psi commutes with duality, and that R\Phi preserves perversity up to shift. It had been in the folklore since then that this last result was in fact a consequence of a finer one, namely the compatibility of R\Phi with duality. In this talk I'll give a proof of this, using a method explained to me by A. Beilinson.

Organisé par Ahmed Abbes
Contact Email: cecile@ihes.fr