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Collapsing of K3 Surfaces and Special Kähler Structures

2025-03-06 12:51:45
报告人 时间 14:00-17:00
地点 E4-201 2025
月日 03-13

Time:14:00-17:00, Thursday, March 13 2025

Venue:E4-201


Host:Jiyuan Han, ITS

Speaker:Zexuan Ouyang, Peking University

Title:Collapsing of K3 Surfaces and Special Kähler Structures

Abstract:We consider the GH compacitification of hyperkahler metric on K3. I will show that these 2-dimensional collapsing limits are endowed with integral singular special Kähler structures (SKS) on P1, confirming a conjecture of Sun-Zhang. and each such metric space come from a Jacobian elliptic K3 surface, thus is a GH limit space of hyperkahler K3. Moreover, there's a natrual map F maps Jacobian elliptic K3 to the 2-dimensional collapsing space, we will show that F is almost injective and finite to one except in the Kummer surface case.