Geometrical Aspects of Hydrodynamics: May 19 – 23, 2014

Application for workshop is now closed.

Organized by Krzysztof Gawedzki, Boris Khesin, and Paul Wiegmann

Dates: May 19 – 23, 2014

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Geometric and group-theoretic methods lie at the foundation of modern studies in hydrodynamics.  Recent applications of fluid dynamics require understanding of fundamental  symmetries of fluids and infinite-dimensional groups featured by hydrodynamical equations. The geometric and topological hydrodynamics is a developing branch of mathematics that reaches across traditional disciplines of hydrodynamical stability theory, Riemannian and symplectic geometry, magnetohydrodynamics, theory of Lie algebras and Lie groups, knot theory, and dynamical systems and algebraic structures in the solition theory. With a limitation of analytical methods in hydrodynamics, geometric and group-theoretical methods became among the most important for the studies of topological features of flows with complex trajectories and for stability analysis in plasma physics, geophysics, magnetohydrodynamics, and atmospheric physics. Among objects of geometrical and topological hydrodynamics there are topological classification of steady fluid flows, formulation of compressible and incompressible hydrodynamics of various fluids as geodesic flows, geometrical aspects of anomalous terms in hydrodynamics and and their quantum origin, applications to hydrodynamics of quantum fluids.

This workshop is a part of the Spring 2014 program, Quantum Anomalies, Topology, and Hydrodynamics, which is organized by Alexander Abanov, Dmitri Kharzeev, Boris Khesin, Dam Son, and Paul Wiegmann. This program takes place from February 17 – June 13, 2014.

All workshop talks and discussion periods will be held in the Simons Center Lecture Hall (Room 102).

There is an optional art event for workshop participants on Tuesday, May 20th. The ‘Stitches’ Exhibition event will start at 5:30pm with a reception, followed by a lecture by Artist Daina Taimina at 6:00pm.