时间:2025年8月1日(星期五),14:00-17:00
地点:E4-233
主持人:Jiyuan Han, ITS
主讲人:Mingyang Li, UC Berkeley
报告主题:Gravitational instantons and harmonic maps
报告摘要:It is known from general relativity that axisymmetric stationary black holes can be reduced to axisymmetric harmonic maps into the hyperbolic plane H^2, while in the Riemannian setting, 4d Ricci-flat metrics with torus symmetry can also be locally redcued to such harmonic maps satisfying a tameness condition. We study such harmonic maps and application includes a construction of infinite many new complete, asymptotically flat, Ricci-flat 4-manifolds with arbitrarily large b_2. Joint work with Song Sun.