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Oberseminar "Geometrische Analysis und Zahlentheorie": Ali Suri (Universität Paderborn) -- hybrid

Veranstalter: D 1 320

Title: Curvature and stability of quasi-geostrophic motion

Abstract: In this talk, first we restate the necessary background about quantomorphism group and central extension of the corresponding Lie algebra. Then we derive the quasi-geostrophic equation as an Euler-Arnold equation of the L^2 metric on this central extension. Afterwards, using the Lie algebra structure constants, we study the curvature and its impact on the stability of geodesics which are solutions of the quasi-geostrophic equation.