AbstractI will survey the recent progress on the rigidity problems on moduli spaces of polarized manifolds. This talk is based on the joint works with Ariyan Javenpaykar, Steven Lu and Kang Zuo, and with Chenglong Yu and Kang Zuo
AbstractThe study of moduli spaces of hyperKahler manifolds and low dimensional cubic hypersurfaces is an active direction in algebraic geometry. Thanks to kinds of Torelli theorem, many moduli spaces can be realized as locally symmetric varieties of unitary type or orthogonal type. Hodge theory, birational geometry and arithmetic geometry converge in this topic. In this talk I will give a gene...
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