ZUMA - Geometric microlocal analysis of gravitational instantons2025.7.7
地点：数学高等研究院报告厅
时间：7月7日，14:30 - 15:30
报告人：朱煦雯 Xuwen Zhu（东北大学）
摘要: Gravitational instantons are non-compact Calabi--Yau metrics with L^2 bounded curvature and are categorized into six types. I will describe several projects on gravitational instantons including: Fredholm theory and deformation, non-collapsing degeneration limits, and existence of stable non-holomorphic minimal spheres in certain types. These projects utilize geometric microlocal analysis in different settings, where the analysis of singular operators is obtained through geometric resolutions. Based on works joint with Rafe Mazzeo, Yu-Shen Lin and Sidharth Soundararajan.