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SUMMARY:Alex Waldron (University of Wisconsin - Madison)
DTSTART:20210810T170000Z
DTEND:20210810T180000Z
DTSTAMP:20260423T035035Z
UID:OSGA/75
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OSGA/75/">Ha
 rmonic map flow for almost-holomorphic maps</a>\nby Alex Waldron (Universi
 ty of Wisconsin - Madison) as part of Online Seminar "Geometric Analysis"\
 n\n\nAbstract\nI'll describe some history\, recent results\, and open prob
 lems about harmonic map flow in dimension two.\n\nThe main result is as fo
 llows: let $\\Sigma$ be a compact oriented surface and $N$ a compact Kähl
 er manifold with nonnegative holomorphic bisectional curvature (e.g. $\\ma
 thbb{CP}^n$). For harmonic map flow starting from an almost-holomorphic ma
 p $\\Sigma \\to N$ (in the energy sense)\, the ``body map'' at each singul
 ar time is continuous\, and no ``neck'' appears between the body map and t
 he bubble tree.\n\nThis is joint work with Chong Song.\n
LOCATION:https://researchseminars.org/talk/OSGA/75/
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