Sunday, May 20
7:30 PM - 9:00 PM
Chair: Martin Golubitsky, University of Houston
The J.D. Crawford Prize is awarded to one individual for recent outstanding work on a topic in nonlinear science, as evidenced by a publication in English in a peer-reviewed journal within the four calendar years preceding the SIAG/DS meeting at which the prize is awarded. This year's awardee is Björn Sandstede, Ohio State University.
The Jürgen Moser Lecture Prize is awarded to a person who has made distinguished contributions to nonlinear science. The term 'nonlinear science' includes dynamical systems theory and its applications, experiments, and computations/simulations. This year's awardee is Yakov G. Sinai, Princeton University.
KAM theory led to the great progress in non-linear dynamics by giving the methods to construct invariant tori and quasi-periodic solutions.What remains after that is a huge set of problems connected with scaling properties of these tori, their breaking -ups, transport properties.The only hope now in attacking these problems is connected with the ideas of the renormalization group theory.During the lecture I shall recall some facts from the early history of KAM-theory and discuss some possibilities of the renormalization group method.
Yakov G. Sinai