Anton Zorich
Anton Zorich ( Russian Антон Владимирович Зорич , transcription Anton Wladimirowitsch Soritsch; * around 1955-1960) is a Russian mathematician. Zorich received his doctorate from Sergei Petrovich Novikov at Lomonossow University . He is a professor at the University of Rennes I . Among other things, he was a visiting scientist at IHES and at the Max Planck Institute for Mathematics in Bonn.
He studied closed surfaces with a flat metric (which is possible regardless of the gender of the surface if one allows singular points of the metric), e.g. B. the behavior of geodesics on it with applications on certain related one-dimensional dynamic systems ( Interval Exchange Transformations ). A conjecture by Zorich and Kontsevich about Lyapunov exponents of the Teichmüller flow in the modular space of Abelian differentials on compact Riemann surfaces was solved by Marcelo Viana and Artur Avila .
In 2006 he was invited speaker at the International Congress of Mathematicians in Madrid (subject: "Geodesics on flat surfaces").
He is not to be confused with his father Vladimir A. Zorich (* 1937), professor at Lomonossow University (author of an analysis textbook and Zorich's theorem).
Fonts
- with Maxim Kontsevich : Connected components of the moduli space of abelian differentials with prescribed singularities , Inv. Math. 153, 2003, 631-678, Arxiv
- with Kontsevich: Lyapunov exponents and Hodge theory , in Drouffe, Itzykson The mathematical beauty of physics , World Scientific 1997, 318-332, Arxiv
- with Alex Eskin , Howard Masur : Moduli spaces of abelian differentials: the principal boundary, counting problems and the Siegel-Veech constants , Publications de l´IHES, 97, 2003, 61–179, Arxiv
- Deviation for interval exchange transformations, Ergodic Theory and Dynamical Systems, 17, 1997, 1477-1499
- Finite Gauss measure on the space of interval exchange transformations. Lyapunov exponents. Annales de L'Institut Fourier, 46, 1996, 325-370
- Flat Surfaces, in Pierre Cartier a . a. Frontiers in Number Theory, Geometry and Physics , Volume 1, Springer Verlag 2006 (based on lectures in Les Houches and at the ICTP in Trieste), Arxiv
Web links
- Homepage in Rennes ( Memento from December 20, 2006 in the Internet Archive )
- Zorich at mathnet.ru
Individual evidence
- ^ Mathematics Genealogy Project
- ↑ The area has many outstanding problems
- ↑ Arxiv
| personal data | |
|---|---|
| SURNAME | Zorich, Anton |
| ALTERNATIVE NAMES | Зорич, Антон Владимирович (Russian) |
| BRIEF DESCRIPTION | Russian mathematician |
| DATE OF BIRTH | around 1955 |