Jorge Lauret
Jorge Lauret (* 1969 ) is an Argentine mathematician who is a professor at the Universidad Nacional de Córdoba .
Lauret studied mathematics at the Universidad Nacional de Córdoba with a licentiate degree in 1994 and a doctorate with Isabel Dotti in 1998. He was a post-doctoral student at Yale University from 2001 to 2003 . He was then a fellow of the Argentine national research organization Conicet and professor at the University of Cordoba.
He deals with Riemannian and pseudo-Riemannian manifolds, and especially homogeneous Einstein manifolds with symmetries, which allows an algebraization of the problem of the classification of the admissible symmetry groups of isometries of the manifold. In particular, he investigated Einstein manifolds with simply connected solvable Lie groups as a symmetry group of the isometries (Solvmanifolds), which are assumed to include all homogeneous non-compact Einstein manifolds (conjecture by Alekseevski). In 2011 he proved in the Annals of Mathematics that the Einstein-Solv manifolds satisfy a simple algebraic condition ( standard property in the sense of J. Heber).
In 2007 he received the ICTP Ramanujan Prize . In 2001 he was a Guggenheim Fellow.
He is editor of the Revista de la Unión Matemática Argentina.
Fonts
- Ricci soliton homogeneous nilmanifolds, Mathematische Annalen, Volume 319, 2001, 715-733
- Standard Einstein solvmanifolds as critical points, Quarterly Journal of Mathematics, Volume 52, 2001, pp. 463-470.
- Finding Einstein solvmanifolds by a variational method, Mathematische Zeitschrift, Volume 241, 2002, 83-99
- Degenerations of Lie algebras and geometry of Lie groups, Differential Geometry and its Applications, Volume 18, 2003, 177-194
- Einstein solvmanifolds are standard, Annals of Mathematics, Volume 172, 2010, pp. 1859-1877
- with Cynthia Will: Einstein solvmanifolds: existence and non-existence questions, Mathematische Annalen, Volume 350, 2011, pp. 199–225
- Einstein solvmanifolds and nilsolitons, Contemporary Mathematics, Volume 491, 2009, pp. 1-37
- Ricci soliton solvmanifolds, Journal for Pure and Applied Mathematics, Volume 650, 2011, pp. 1–21, Arxiv
- Ricci flow of homogeneous manifolds, Mathematische Zeitschrift, Volume 274, 2013, pp. 373-403
- with Ramiro Lafuente: Structure of homogeneous Ricci solitons and the Alekseevskii conjecture, Journal of Differential Geometry, Volume 98, 2014, pp. 315–347, Arxiv
- with Ramiro Lafuente: On homogeneous Ricci solitons, Quarterly Journal of Mathematics, Volume 65, 2014, pp. 399-419.
Web links
| personal data | |
|---|---|
| SURNAME | Lauret, Jorge |
| BRIEF DESCRIPTION | Argentine mathematician |
| DATE OF BIRTH | 1969 |