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.
