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事件名 TIMS Seminar in Algebraic Geometry
開始日時 2022年 12月 27日 星期二   10:00 (GMT+08:00)
結束日時 2022年 12月 27日 星期二   11:30 (GMT+08:00)
相關場所 Room 202, Astronomy and Mathematics Building
相關人員
詳細內容 Speaker: Prof. Yu-Shen Lin (Boston University, USA)
Title: Moduli Space of ALH^*-Gravitational Instantons
Abstract: Gravitational instantons are non-compact complete hyperK\"ahler 4-manifolds with L^2-curvature. They are known to be the bubbling limits of K3 surfaces. Thus can be viewed as the "non-compact K3" and the building block toward understanding K3 metrics. Similar to the K3 surfaces case, the cohomology classes of the hyperK\"ahler triples of gravitational instanton determine the period map. In this talk, I will show that the period map is a diffeomorphism for a class of gravitational instantons, labeled by ALH^*. If time permits, I will explain the work in progress on the boundary of the moduli space. The talk is based on the series of joint works with Collins, Jacob, Lee, Zhu, Soundararaja and Takahashi.
發表者 Assistant editor
類別 公開事件
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