Speaker
Prof.
Zhu, Xuwen
(Northeastern University)
Description
Gravitational instantons are non-compact Calabi-Yau metrics with $L^2$ bounded curvature and are categorized into six types. I will describe three projects on gravitational instantons including:
(a) Fredholm theory and deformation of the ALH type;
(b) non-collapsing degeneration limits of ALH and ALH types;
(c) existence of stable non-holomorphic minimal spheres in some ALF types.
These three projects utilize geometric microlocal analysis in different singular settings. Based on works joint with Rafe Mazzeo, Yu-Shen Lin and Sidharth Soundararajan.
