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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The de Rham cohomology of p-adic formal schemes
p-adic形式方案 德拉姆 上同调
2023/4/18
Discuss [Bha, §2.5-2.6]. Introduce objects in Definitions 2.5.1 and 2.5.3, and cover Theorem 2.5.6, Corollary 2.5.10, Corollary 2.6.8, and Corollary 2.6.11
This is a periodic series learning seminar ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The de Rham cohomology in characteristic 0
特征0 德拉姆 上同调
2023/4/19
Discuss [Bha, §2.3-2.4]. See [Dri20, §1.3] for the notion of cones and quasi-ideals. Note that some of the remarks (e.g. Remark 2.2.15) [Bha, §2.2] may not have been covered in Lecture 1. Explain them...
Loewy filtration and quantum de Rham cohomology over quantum divided power algebra
quantum divided power algebra Loewy filtration socle radical rigidity q-differentials
2012/4/18
As a continuation of \cite{HU}, we explore the submodule structures of the quantum divided power algebra $\mathcal{A}_q(n)$ introduced in \cite{HU} and its truncated objects $\mathcal{A}_q(n, \bold m)...
A vanishing theorem in twisted de Rham cohomology
vanishing theorem twisted de Rham cohomology
2011/1/20
We prove a vanishing theorem for the twisted de Rham cohomology of a compact manifold.
Triangular de Rham Cohomology of Compact Kahler Manifolds
Triangular de Rham Cohomology Compact Kahler Manifolds
2010/10/29
We study the de Rham 1-cohomology H^1_{DR}(M,G) of a smooth manifold M with values in a Lie group G. By definition, this is the quotient of the set of flat connections in the trivial principle bundle...