A local systolic inequality in contact and symplectic geometry

A local systolic inequality in contact and symplectic geometry

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Gabriele Benedetti,University of Heidelberg
Fine Hall 224

In this talk, which reports on joint work with Jungsoo Kang, we formulate a local systolic inequality for Reeb flows and amiltonian diffeomorphisms, which we establish in low dimension. As a consequence, we derive bounds for the minimal magnetic length of periodic magnetic geodesics on orientable closed surfaces.