Dear Shareholders of Hamiltonian Systems,

The next talk at our seminar by Stephen Preston (CUNY Brooklyn College) -- Conjugate points along ideal fluid flow geodesics --  is on Tuesday, February 28, 2023 at 12:30PM EST (20:30 in Moscow, 18:30 in Europe, 10:30am in Arizona and 9:30am in California).

ATTENTION: Note the time change: this term the seminar meets 30min later than usual.

Abstract: Since Arnold's paper in 1966, it has been well-known that solutions of the Euler equations for ideal fluids in a domain correspond to geodesics in the group of volume-preserving diffeomorphisms of the domain. Conjugate points correspond to when these geodesics fail to minimize length between their endpoints. Misiolek found the first conjugate points in 1993, and since then many more examples have been discovered. I will give a survey of the basic facts about them and recent results from myself and others, including the important difference between the 2D and 3D cases.
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