(一) Birational geometry and minimal model program 报告人:许晨阳 教授 (北京大学,MIT) 时间:2017年11月20日(周一)10:00 地点:鼓楼校区西大楼308报告厅 摘要:Birational classification is a classical subject in algebraic geometry, dated back to 19th century. As the surface theory was completed in early 20th century, the main framework in higher dimension was only started in late 70s by Mori and others, and it is coined in the so called 'minimal model program’. In this talk, I will give a simple introduction to the minimal model program. If time permits, I will also talk about some applications.
(二) Steady Ricci solitons with positive curvature 报告人:朱小华 教授(北京大学) 时间:2017年11月21日(周二)10:15–12:15 地点:鼓楼校区蒙民伟楼1105室 摘要:I will talk about our recent results related to the rigidity of Steady Ricci solitons in higher dimension. We prove that any noncompact $\kappa$-noncollapsed steady Ricci soliton with nonnegative curvature operator and positive Ricci curvature must be rotationally symmetric if it has a linear curvature decay. If a$\kappa$-noncollapsed steady Ricci soliton is Kaehler with nonnegative bisectional curvature, then it is flat.