WEEKLY ACTIVITIES

Katz-Deligne correspondence for isocrystals
Người báo cáo: Nguyễn Khánh Hưng (Viện Toán học)

Thời gian: 15:00, thứ tư, 16/02/2022

Tóm tắt: In 1987, Katz proved that a differential equation with coefficients in the field of formal Laurent series over k is uniquely extended to a special algebraic differential equation on the multiplicative group when k is of characteristic 0. He also proved that a finite extension of the field of formal Laurent series over k is uniquely extended to a special covering of the multiplicative group when k is of any characteristic. In 2002, S.Matsuda proved a p-adic analogue of this correspondence for quasi-unipotent overconvergent isocrystals. This talk will firstly review the original Katz correspondence and basic concepts of overconvergent isocrystals before stating the result of Matsuda.

Hình thức: Online qua google meet, cụ thể https://meet.google.com/yep-kbzk-eao?pli=1&authuser=1

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