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| 開催情報 | 水曜日 17:00～18:00 数理科学研究科棟(駒場) 117号室 |
|---|---|
| 担当者 | 今井 直毅，ケリー シェーン |
2016年12月14日(水)
18:00-19:00 数理科学研究科棟(駒場) 056号室
Luc Illusie 氏 (Université Paris-Sud)
On vanishing cycles and duality, after A. Beilinson (English)
Luc Illusie 氏 (Université Paris-Sud)
On vanishing cycles and duality, after A. Beilinson (English)
[ 講演概要 ]
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.
(本講演は「東京北京パリ数論幾何セミナー」として, インターネットによる東大数理，Morningside Center of MathematicsとIHESの双方向同時中継で行います.)
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.
(本講演は「東京北京パリ数論幾何セミナー」として, インターネットによる東大数理，Morningside Center of MathematicsとIHESの双方向同時中継で行います.)
