Title: On vanishing cycles and duality, after A. Beilinson.
Speaker: Luc Illusie (Université Paris-Sud)
Time: 2016-11-3, 10:00—12:00
Place: 南楼820
Abstract: 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.
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