Integrability and Near-Integrability in Mechanics and Geometry (16w5017)


(University of Illinois at Urbana-Champaign)

(University of Toronto)

(Pennsylvania State University)


The Casa Matemática Oaxaca (CMO) will host the "Integrability and Near-Integrability in Mechanics and Geometry" workshop from June 12th to June 17th, 2016.

Classical Mechanics is one of the oldest scientific fields and it has a long rich history of interaction with geometry and
analysis. Close interaction of these domains was vigorously advocated by outstanding mathematicians such as Kolmogorov, Bott,
Moser, Arnold. The recent years witnessed fundamental developments in many areas of mechanics and geometry relying both on
pure mathematical methods and on computer and physics experiments. On the other hand, rapidly growing applied disciplines,
such as robotics, motion planning, nonholonomic control, etc., vastly benefit from new ideas coming from this interaction of
mechanics and geometry.

Topics of the workshop include studies on bicycle stability, integrability of pentagram maps, non-holonomic methods in the
study of billiards, geometry of cluster algebras, and infinite-dimensional non-holonomic systems in mechanics and fluid
dynamics. The main goal of this workshop is to encourage interaction both between engineers and mathematicians, and between
pure and applied mathematicians.

The Casa Matemática Oaxaca (CMO) in Mexico, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, are collaborative Canada-US-Mexico ventures that provide an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry.

The research station in Banff is supported by Canada's Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnología (CONACYT). The research station in Oaxaca is funded by CONACYT.