Seminar talk, 30 March 2011

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Speaker: Alexander Verbovetsky

Title: On Tanaka algebras

Abstract:
In 1970 work [1] Noboru Tanaka to each non-holonomic smooth distribution on a manifold associated in a natural way a graded Lie algebra depending on point of manifold. The talk will review the Tanaka theory and discuss recent generalizations, obtained by Boris Kruglikov [3].

References:
[1] Tanaka N. On differential systems, graded Lie algebras and pseudo-groups, J. Math. Kyoto Univ. 10 (1970), 1-82; http://projecteuclid.org/euclid.kjm/1250523814

[2] Yamaguchi K. Differential systems associated with simple graded Lie algebras, Adv. Studies in Pure. Math. 22 (1993), Progress in differential geometry, pp. 413–494

[3] Kruglikov B. Finite-dimensionality in Tanaka theory, Ann. Inst. H. Poincaré Anal. Non Linéaire 28 (2011), 75–90; arXiv:1002.0803

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