Richard
Montgomery, University of California, Santa Cruz will deliver a
talk entitled, "An Octahedral Gem Hidden in Newton's Three
Body Problem." The lecture will take place on July 25, 2012
at the Fields Institute, as part of the conference on "Geometry,
Symmetry, Dynamics, and Control: The Legacy of Jerry Marsden."
Richard Montgomery received undergraduate degrees in both mathematics
and physics from Sonoma State in Northern California. He completed
his PhD under Jerry Marsden at Berkeley in 1986, after which he
held a Moore Instructorship at MIT for two years, followed by two
years of postdoctoral studies at University of California, Berkeley.
Montgomery's research fields are geometric mechanics, celestial
mechanics, control theory and differential geometry and is perhaps
best known for his rediscovery - with Alain Chenciner - of Cris
Moore's figure eight solution to the three-body problem, which led
to numerous new 'choreography' solutions. He also established the
existence of the first-known abnormal minimizer in sub-Riemannian
geometry, and is known for investigations using gauge-theoretic
ideas of how a falling cat lands on its feet. He has written one
book on sub-Riemannian geometry.
The PIMS Marsden Memorial Lecture Series is dedicated to the memory
of Jerrold E Marsden (1942-2010), a world-renowned Canadian applied
mathematician. Marsden was the Carl F Braun Professor of Control
and Dynamical Systems at Caltech, and prior to that he was at the
University of California, Berkeley, for many years. He did extensive
research in the areas of geometric mechanics, dynamical systems
and control theory. He was one of the original founders in the early
1970s of reduction theory for mechanical systems with symmetry,
which remains an active and much studied area of research today.
The inaugural Marsden Memorial Lecture was given by Alan Weinstein
(University of California, Berkeley) in July of 2011 at ICIAM in
Vancouver.
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