[geometry-ml:04057] Complex Geometric Analysis Seminar 5/18

[Kengo Hirachi]

皆様

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2020年05月18日(月) 10:30-12:00   Zoom 開催
糟谷久矢 氏 (大阪大学)
Higgs bundles and flat connections over compact Sasakian manifolds

[ 講演概要 ]
It is known that on a compact Kähler manifold, there is a correspondence between semisimple flat vector bundles and polystable higgs bundles with vanishing Chern classes via harmonic metrics (Simpson-Corlette). The purpose of this talk is to give the Sasakian (odd dimensional analogue of Kähler geometry) version of this correspondence. We prove that on a compact Sasakian manifold, there is an correspondence between semisimple flat vector bundles and the polystable basic Higgs bundles with vanishing basic Chern classes. (Joint work with Indranil Biswas, arXiv:1905.06178)

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平地 健吾, 高山 茂晴