On the de Rham cohomology for relative formal schemes
Người báo cáo: Võ Quốc Bảo (Viện Toán học)
Thời gian: 09h30, thứ năm, ngày 06/10/2022.
Hình thức: Offline, địa điểm: Phòng 302, nhà A5.
Tóm tắt: Algebraic de Rham cohomology is an analogue of singular cohomology for schemes that appeared in the work of Grothendieck (1966). In 2005, H. Esnault and P.H. Hai gave the comparison between algebraic de Rham cohomology of schemes and rational cohomology of group schemes via Tannakian duality. In this talk, we give a version of Esnault-Hai theorem for formal schemes. To do that, we introduce the concept and properties of de Rham cohomology for relative formal schemes. If time permits, we will briefly discuss the construction of Gauss-Manin connection for relative formal schemes. This is joint work with Phung Ho Hai.


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