Abstract: In this talk, I will present some results on holomorphic functions on noncompact Kahler or Hermitian manifolds, including growth estimates, dimension estimates for holomorphic functions of polynomial growth, and other rigidity results under suitable curvature assumptions. The manifolds we study include total spaces of certain vector bundles over compact Kahler manifolds and complete Hermitian manifolds with flat Chern connection.

Brief biography: Bo Yang obtained his PhD at UC San Diego in 2013, and spent postdoc years at Rutgers and Cornell. He has worked at Xiamen University since 2017. His research interests include holomorphic (bi)sectional curvatures and related curvature problems on complex manifolds.

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