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In this report, we introduce some recent works on the Euler sums via the Stirling sums, multiple zeta values, residue computation, etc. We also establish several series identities on the Euler type sums, which can be viewed as symmet...

题目：Partial C^0 Estimate and Hamilton-Tian Conjecture报告人：王枫 副教授 （浙江大学）地点：腾讯会议室时间：2020年9月10日 14:00-15:00摘要: Hamilton-Tian conjecture says that the Kahler-Ricci flow on Fano manifolds converges to a limit space admitting Kahler-Ricci soliton outside the singularity of dimension 4. This conjecture has been proved by Chen-Wang and Bamler. Their proof depends on the ...

题目：The Hyperbolic Metric Applied to the Roper-Suffridge Extension Operator报告人: 王建飞 教授 (华侨大学）地址：zoom会议室（详见网页）时间：2020年7月17日 星期五 13：30-14：30摘要: The hyperbolic metric plays an important role in complex analysis and geometric function theory. In this talk, we will establish several interesting properties for the hyperbolic metric of a simply connected domain ...

题目：不可压缩Navier-Stokes方程报告人：韩丕功 研究员 （中科院数学与系统科学研究院）地点：腾讯会议室时间：2020年7月21日（周一）上午9:30--11:00摘要: 本报告系统介绍千禧问题之一: 不可压缩Navier-Stokes方程相关性质. 首先介绍该方程的来源及背景, 弱解存在性、正则性等的研究历史和现状; 其次, 介绍解的长时间渐近行为性质; 最后列出一些目前尚未解决的重要问题.腾讯会议 ID：802 354 323 密码：200721点击链接入会，...

题目：Calabi-Yau Metrics with Cone Singularities along Intersecting Complex Lines: The Unstable Case报告人：Matrin de Borbon (Université de Nantes)地点：zoom会议室时间：2020年7月9日 20：00摘要：In collaboration with G. Edwards we produce (local) Calabi-Yau metrics, in two complex dimensions, with cone singularities along intersecting complex lines, for cone angles that strictly violate the Troy...

We apply Menke’s JSJ decomposition for symplectic fillings to several families of contact 3-manifolds. Among other results, we complete the classification up to diffeomorphism of strong symplectic fillings of lens spaces. We reduce the classification of the strong symplectic fillings of large families of Seifert fibered spaces to that of lens spaces. We show that fillings of contact manifolds obtained by Legendrian surgery on certain Legendrian knots are the result of attaching a symplectic 2-handle to a filling of a lens space. This is joint work with Austin Christian.

In mathematics it is usually a routine way to decompose the mathematical object under consideration into some simpler ones which are easier to study. By analyzing how the pieces assemble the information is obtained about the original object. In homotopy theory, we usually need to decompose a topological space as the product or wedge of some smaller spaces. This method helps us to easily investigate the homotopy groups or homology groups of the original space via the ones of the smaller spaces. In this talk, I will simply introduce the method of homotopy decomposition and then give some our recent results on the homotopy decompositon of some looped Co-H spaces.

We recently improved our result on Kahler-Ricci type flow whose stationary points are cscK metrics, introduced by Yuan Yuan, Zhang YuGuang and the speaker.