Exterior differential systems, Lie algebra cohomology, and the rigidity of homogenous varieties

zbMATH Open1212.53013arXiv0802.4280MaRDI QIDQ3057359

J. M. Landsberg

Publication date: 24 November 2010

Abstract: These are expository notes from the 2008 Srni Winter School. They have two purposes: (1) to give a quick introduction to exterior differential systems (EDS), which is a collection of techniques for determining local existence to systems of partial differential equations, and (2) to give an exposition of recent work (joint with C. Robles) on the study of the Fubini-Griffiths-Harris rigidity of rational homogeneous varieties, which also involves an advance in the EDS technology.

Full work available at URL: https://arxiv.org/abs/0802.4280

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zbMATH Keywords

Lie algebra cohomologyhomogeneous varietyexterior differential systemprojective rigidity

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Differential geometry of homogeneous manifolds (53C30) Projective differential geometry (53A20)

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