### SIAM Activity Group on Dynamical Systems Prize Session

Sunday, May 20

7:30 PM - 9:00 PM

*Room: Ballroom
*

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.

**The Jürgen Moser Lecture:
KAM-theory and Renormalization Group **
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

*Princeton University
*