Combining free probability ideas and the Arnold approach to Euler equationson a Lie algebra, leads to a noncommutative analogue of the Euler equationsdescribing an inviscid flow which preserves a Gaussian measure.
The equationsdeal with infinitesimal automorphisms of free group factors and there are natural noncommutative smoothness spaces to which they extend. There is also a notionof cyclic vorticity,
which satisfies corresponding vorticity equations and there are conserved quantities that arise. I will explain the analogy, the results and someof the problems.

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締切日：1月13日(金)17時厳守