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Compactification of metric moduli space of K3 surfaces

2026-01-06 13:46:39
报告人 时间 9:00-10:00
地点 E14-212 2026
月日 01-15

Time:9:00-10:00, Thursday, January 15 2026

Venue:E14-212


Host:Jintian Zhu, ITS

Speaker:Zexuan Ouyang, Peking University

Title:Compactification of metric moduli space of K3 surfaces

Language:Chinese

Abstract:In this talk, I will introduce our recently results on metric moduli space of K3 surfaces. I will present our proof of a conjecture of Odaka--Oshima, which says that there is an algebraic description of the Gromov--Hausdorff compactification of all unit-diameter hyperkähler metrics on K3 surfaces. As a corollary, we obtain a classification of the Gromov--Hausdorff limits of those hyperkähler K3 surfaces with a fixed complex structure or with a fixed polarization. This is joint work with Prof. Gang Tian.