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講演会
過去の記録 ～09/19｜次回の予定｜今後の予定 09/20～
2018年03月09日(金)
13:30-14:30 数理科学研究科棟(駒場) 056号室
Luc Illusie 氏 (パリ南大学名誉教授)
Sliced nearby cycles and duality, after W. Zheng (ENGLISH)
Luc Illusie 氏 (パリ南大学名誉教授)
Sliced nearby cycles and duality, after W. Zheng (ENGLISH)
[ 講演概要 ]
In the early 1980's Gabber proved duality for nearby cycles and, by a different method, Beilinson proved duality for vanishing cycles in the strictly local case (up to a twist of the inertia action on the tame part). Recently W. Zheng found a simple proof of a result, conjectured by Deligne, which implies them both, and extended it over finite dimensional excellent bases. I will explain the main ideas of his work, which relies on new developments, due to him, of Deligne's theory of fibered and oriented products.
In the early 1980's Gabber proved duality for nearby cycles and, by a different method, Beilinson proved duality for vanishing cycles in the strictly local case (up to a twist of the inertia action on the tame part). Recently W. Zheng found a simple proof of a result, conjectured by Deligne, which implies them both, and extended it over finite dimensional excellent bases. I will explain the main ideas of his work, which relies on new developments, due to him, of Deligne's theory of fibered and oriented products.
