Event
Control and Dynamical Systems Distinguished Lecture: Tudor Ratiu
Friday, March 25, 2011
11:00 a.m.
2168 A.V. Williams Building
Pam White
pwhite@umd.edu
Control and Dynamical Systems Distinguished Lecture
Invariant higher order variational problems
Tudor Ratiu
Chair, Geometrical Analysis, Mathematics Section
Director, Bernoulli Center
Ecole Polytechnique Federale de Lausanne
Abstract
Motivated by the problem of longitudinal data assimilation, e.g., in the registration of a sequence of images, we develop the higher-order framework for Lagrangian and Hamiltonian reduction by symmetry. In particular, we obtain the reduced variational principles and the associated Poisson brackets. Applications to higher-order geometric k-splines for interpolation on Lie groups will be presented. This is motivated by the need to develop methods for applying template matching to a series of images.
Biography
Tudor Ratiu is Chair of Geometrical Analysis in the Mathematics Section of the Ecole Polytechnique Federale de Lausanne (EPFL). He is also the director of the Bernoulli Center, a mathematics research institute. His research interests center on noncanonical Hamiltonian structures, nonlinear stability, and bifurcation theory, complete integrability, and infinite-dimensional manifolds and Lie groups
