Valentin Ovsienko

CNRS

Universite Claude Bernard Lyon 1
Institut Camille Jordan
43 boulevard du 11 novembre 1918
69622 Villeurbanne cedex
France
+33 (0)4 72 44 85 52 / Fax +33 (0)4 72 43 16 87

Office: +33 (0)4 72 44 79 40

e-mail: ovsienko(at)math(dot)univ-lyon1(dot)fr

I am a graduate of Moscow School for Mathematics No 2 (web site in Russian), class of 1981

PhD received in 1989 from Moscow State University

Curriculum vitae, Research statement, Research Proposal (documents in French)

Areas of interest:

differential geometry, algebra, integrable systems;

cohomology of Lie algebras of vector fields and diffeomorphism groups;

Virasoro algebra and its generalizations;

graded commutative algebras.

Together with Christian Duval and Pierre Lecomte we developed equivariant quantization,

I am on the Editorial Board of Journal of Nonlinear Mathematical Physics

You can download a preprint version of my book with Sergei Tabachnikov

Projective Differential Geometry Old and New: From the Schwarzian Derivative to the Cohomology of Diffeomorphism Groups Cambridge University Press, Cambridge Tracts in Mathematics, 165, 2005.

Recent Papers:

• Simple graded commutative algebras. (with S. Morier-Genoud)

• Well, Papa, can you multiply triplets? (with S. Morier-Genoud)

• The Pentagram map: a discrete integrable system. (with R. Schwartz, S. Tabachnikov)

• What is... the Schwarzian derivative? (with S. Tabachnikov)

• Looped Cotangent Virasoro Algebra and Non-Linear Integrable Systems in Dimension 2 + 1. (with C. Roger)

• Bi-Hamiltonian nature of the equation $u_{tx}=u_{xy} u_y-u_{yy} u_x$.

• Lie antialgebras.

• Supertransvectants and symplectic geometry. (with Hichem Gargoubi)

• Hyperbolic Caratheodory conjecture.(with Serge Tabachnikov)

• Differential operators on supercircle: conformally equivariant quantization and symbol calculus. (with Hichem Gargoubi and Najla Mellouli)

List of publications

Listen to the talk on The Pentagram map: a discrete integrable system.

Hichem Gargoubi (PhD 1997)
Patrick Marcel (PhD 1999)
Sofiane Bouarroudj (PhD 1999)
Sabin Loubon-Djounga (PhD 2001)
Pascal Redu (PhD 2002)
Yael Fregier (PhD 2005)
Najla Mellouli