报告题目：Infinite dimensional Lie algebras and symmetric functi…

报 告 人：景乃桓

时 间：2023年12月8日（周五）上午9:00-12:00 2023年12月9日（周六）上午9:00-12:00

地 点：M323报告厅

简 介：

报告题目：The Legendrian Self-Shrinker

报 告 人：张柳阳

时 间：2023年12月14日（周四）下午4:00-5:00

地 点：六号楼二楼报告厅

简 介：In this talk, we will introduce the Legendrian mean curvature flow, then we will deduce its self-shrinker via Huisken’s monotonicity formula method. In the last part we will give some examples of Legendrian Self-Shrinkers.

报告题目：Foliation Divisorial Contraction by the Sasaki-Ricci F…

报 告 人：张树城

时 间：2023年12月14日（周四）下午3:00-4:00

地 点：六号楼二楼报告厅

简 介：A Sasakian (2n+1)-manifold is served as the odd-dimensional analogous of Kaehler manifolds. For instance, the Kaehler cone of a Sasaki-Einstein 5-manifold is a Calabi-Yau 3-fold. On the other hand, the class of simply connected, closed, oriented, smooth 5-manifolds is classifiable under diffeomorphism due to Smale-Barden. In this talk, we consider a compact quasi-regular Sasakian 5-manifold with finite cyclic quotient foliation singularities of type (1/r)(1,a).  We first derive the foliation Blow-up and Sasaki Castelnuovo's Contraction Theorem. Secondly, based on the the foliation canonical surgical contraction and extremal ray contraction under the Sasaki-Ricci flow, we prove a Sasaki analogue of analytic minimal model program via the Kaehler-Ricci flow due to Song-Tian and Song-Weinkove. This is a joint work with C. Lin and C.-T. Wu.