Topological classification of Hamiltonian equations with symmetries. Application to physics and mechanics

SMC Colloquium

Wednesday 27 February 2013
from 14:15
to 16:15 at
Oskar Klein auditorium

Speaker :

Anatoliy Fomenko (Moscow University)

Abstract :

This new research is on the boundary of several mathematical and applied areas - geometry, differential equations, topology, Lie groups theory and mathematical physics. As an example of application - the proof that two famous systems - Euler case in dynamics of rigid body motion in 3-space (for example, the dynamics of flight of the satellite if 3-space) and dynamics of geodesics (i.e. the trajectories of locally minimal length) on the ellipsoid in 3-space (Jacoby problem) are topologically equivalent. The lecture will be illustrate by visual material and comments. The lecture will be interesting for many students and researchers from different areas of mathematics, physics and computer science.
About the Speaker

Anatoly T. Fomenko is a full member (Academician) of the Russian Academy of Sciences (1994), the Russian Academy of Natural Sciences (1991), the International Higher Education Academy of Sciences (1993) and Russian Academy of Technological Sciences (2009), prize-winner of State Award of Russian Federation in the field of mathematics (1996), as well as a doctor of physics and mathematics (1972), a professor (1980), and head of the Differential Geometry and Applications Department of the Faculty of Mathematics and Mechanics in Moscow State University (1992). Fomenko is the author of the theory of topological invariants of integrable Hamiltonian system. He is the author of 180 scientific publications, 26 monographs and textbooks on mathematics, a specialist in geometry and topology, variational calculus, symplectic topology, Hamiltonian geometry and mechanics, and computer geometry. Fomenko is also the author of a number of books on the development of new empirico-statistical methods and their application to the analysis of historical chronicles as well as the chronology of antiquity and the Middle Ages. Fomenko is the author of extensive writings in his original fields of mathematics, and is also known for his original drawings inspired by topological objects and structures.