Organizers: Takuya Yamauchi, Wataru Kai

Location: Lecture room 209, Mathematical Institute (Aobayama campus)
unless otherwise specified 

5月16日木曜日(Thursday 16 May)

15:00--16:30

数学棟209 (Lecture room 209, Mathematical Institute)

Speaker: Ahmed Abbes (IHES / University of Tokyo 東大数理（日本学術振興会 外国人招聘研究者）)

Title: Functoriality of the p-adic Simpson correspondence by proper push forward

Abstract: Faltings initiated in 2005 a p-adic analogue of the (complex) Simpson correspondence whose construction has been taken up by various authors, according to several approaches. After recalling the one initiated by myself with Michel Gros, I will present our initial result on the functoriality of the p-adic Simpson correspondence by proper push forward, leading to a generalization of the relative Hodge-Tate spectral sequence. If time permits, I will give a brief overview of an ongoing project with Michel Gros and Takeshi Tsuji, aimed at establishing a more robust framework for achieving broader functoriality results of the p-adic Simpson correspondence, by both proper push forward and pullback.