Logarithmic Cartier Transform

Sami Fersi
2026-10-14 10:30–11:30
MCM510

Speaker: Sami Fersi (Université Paris-Saclay)

Title: Logarithmic Cartier Transform

Time: 10:30–11:30, October 14, 2026 (Wednesday)

Inviter: Prof. Daxin Xu (MCM, CAS)

Venue: MCM510

Abstract: The Cartier transform of Ogus and Vologodsky can be described roughly as an equivalence of categories, for a smooth scheme over a perfect field of positive characteristic, between modules equipped with integrable connections and modules with Higgs fields, both subject to some nilpotence conditions. In this talk, I will discuss generalizations to log smooth schemes of two versions of this transform: a local version due to Shiho, and a topos-theoretic version due to Oyama.