Number Theory Seminar

Seminar information archive ~03/29Next seminarFuture seminars 03/30~

Date, time & place Wednesday 17:00 - 18:00 117Room #117 (Graduate School of Math. Sci. Bldg.)
Organizer(s) Naoki Imai, Shane Kelly

2016/12/14

18:00-19:00   Room #056 (Graduate School of Math. Sci. Bldg.)
Luc Illusie (Université Paris-Sud)
On vanishing cycles and duality, after A. Beilinson (English)
[ 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.