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

Joseph M. Landsberg

Archivum Mathematicum (2008)

  • Volume: 044, Issue: 5, page 419-447
  • ISSN: 0044-8753

Abstract

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These are expository notes from the 2008 Srní 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.

How to cite

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Landsberg, Joseph M.. "Exterior differential systems, Lie algebra cohomology, and the rigidity of homogenous varieties." Archivum Mathematicum 044.5 (2008): 419-447. <http://eudml.org/doc/250502>.

@article{Landsberg2008,
abstract = {These are expository notes from the 2008 Srní 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.},
author = {Landsberg, Joseph M.},
journal = {Archivum Mathematicum},
keywords = {projective rigidity; exterior differential systems; Lie algebra cohomology; homogeneous varieties; projective rigidity; exterior differential system; Lie algebra cohomology; homogeneous variety},
language = {eng},
number = {5},
pages = {419-447},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Exterior differential systems, Lie algebra cohomology, and the rigidity of homogenous varieties},
url = {http://eudml.org/doc/250502},
volume = {044},
year = {2008},
}

TY - JOUR
AU - Landsberg, Joseph M.
TI - Exterior differential systems, Lie algebra cohomology, and the rigidity of homogenous varieties
JO - Archivum Mathematicum
PY - 2008
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 044
IS - 5
SP - 419
EP - 447
AB - These are expository notes from the 2008 Srní 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.
LA - eng
KW - projective rigidity; exterior differential systems; Lie algebra cohomology; homogeneous varieties; projective rigidity; exterior differential system; Lie algebra cohomology; homogeneous variety
UR - http://eudml.org/doc/250502
ER -

References

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