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Summary TIMS Seminar in Algebraic Geometry
Beginning DateTime 27th December 2022 Tuesday   10:00 (GMT+08:00)
Finishing DateTime 27th December 2022 Tuesday   11:30 (GMT+08:00)
Location Room 202, Astronomy and Mathematics Building
Description 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.
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