This laboratory was established as part of a scientific research project supported with a monetary grant awarded by the Government of the Russian Federation under a grant competition designed to provide governmental support to scientific research projects implemented under the supervision of the world's leading scientists at Russian institutions of higher learning (Resolution of the RF Government No.220 of April 9, 2010).
Grant Agreement No.: 11.G34.31.0054
Name of the institution of higher learning:
Federal state budget educational institution of higher professional learning "Moscow State University named after M. V. Lomonosov"
Fields of scientific research:
Mechanics and control processes
This project aims to address a number of important and contemporary problems in geometrical mechanics and the theory of differential equations, is in line with a broad sense of notions, as well as all techniques and methods ranging from algebraic topological methods of physical application in quantum mechanics and field theory to the technical problems in liquid crystals and the theory of shells in elasticity.
Key project objectives:
1. To research fundamental issues related to symmetries in Hamiltonian dynamics, such as symmetry in Hamiltonian theory of bifurcations, in nonholonomic dynamics, and variation principles.
2. To advance Dirac's reduction of order theory.
3. To study the Weil-Peterson geodesic metrics and their application for visualization of images.
Anticipated scientific outcomes:
1. The project will help complete the work that has already been started on classifying singular cotangent bundles.
2. The project will help advance the geometrical structure of equations for liquid crystals.
3. The project will help establish a connection between Lie-Reinhart algebras and singular transformations.
• Field: Mechanics and control processes
• Round: 1
Leading scientist's full name: Tudor Stefan Ratiu
Academic degrees and titles:
1980, PhD, University of California Berkeley, USA
1980 - 1983: T.H. Hildebrandt assistant, University of Michigan, Ann Arbor, USA
1983 - 1988: Associate Professor, University of Arizona, Tucson, USA
1987 - 1988: Associate Professor, University of California Santa Cruz, USA
1988 - 2001: Professor, University of California Santa Cruz, USA
1998 - current: Professor, Chair of Geometric Analysis, Federal Polytechnic School of Lausanne (EPFL), Switzerland
Department of Mathematics, Station 8, Chair of Geometric Analysis, Federal Polytechnic School of Lausanne, CH-1015 Lausanne, Switzerland.
2003 - current: Director, Bernoulli Center, Federal Polytechnic School of Lausanne (EPFL), Switzerland.
1998 - current: Professor, Chair of Geometric Analysis, Federal Polytechnic School of Lausanne (EPFL).
Areas of scientific interest:
Mechanics and control processes
2010, Honorary Adjunct Professor, Graduate School of Information Technology and Mathematical Sciences, University of Ballarat, Mount Helen, Victoria, Australia
2009, Award of the Romanian Academy for excellence in research and collaboration with Romania
2005, Honorary member: "Simion Stoilow" Mathematics Insitute, Romanian Academy, Bucharest
2003, Awarded the medal Star of Romania, commander rank
2002, Plenary speaker at the annual meeting of the Swiss Mathematical Society, Davos
2001, Plenary speaker at the joint Austrian-German annual Mathematical Society Meeting, Vienna
2000, Ferran Sunyer i Balaguer Prize winner, Institut d'Estudis Catalans, Barcelona