中心开展的网上讨论班信息(截至4.13)

2021-02-24 来源:数学科学研究中心

活动地点:

活动类型:学术报告

主讲人:

活动时间:2021-03-23 12:23:47--2021-03-23 12:23:47

活动内容:

 

中心开展的网上讨论班信息(截至4.13

浙江大学数学中心:

 

 

 

第三十八周论文讨论班

时间:2021年4月13日上午9:00-10:00
地点:腾讯会议(会议号:270 991 578 无密码)
报告人:魏定畅
题目:Hopf conjecture, K\"ahler hyperbolic ,non-elliptic, parabolic, and recent works
摘要:In order to solve the Hopf conjecture, the key ingredients had been the vanishing of L^2 cohomology groups since [Gro91] and for this purpose three different yet similar conditions were proposed, both were geometric conditions. In this talk, we will review these three conditions with main proofs in [Gro91], [JZ00] and [CX01]. If time permitted, we will give a quick review of recent works by Yang&Chen in [YC18].

 

 

第三十七周论文讨论班

时间:2021年4月6日上午9:00-10:00
地点:腾讯会议(会议号:492 145 316 无密码)
报告人:刘凯

 KAI LIU’S FIFTH REPORT
Title: Vanishing and estimation theorem for Betti and Hodge numbers
Abstract:
A major theme in differential geometry is the question how curvature conditions restrict the topology of the manifold. The main tool to address this question is the Bochner technique. In this presentation, first we will recall the history of this question then we will talk about Petersen and Winks’ new results on the Vanishing and estimation theorem for Betti numbers on Riemannian manifolds and for Hodge
numbers on K¨ahler manifolds.


 

第三十六周论文讨论班

时间:北京时间3月30日上午9:00-10:00
地点:腾讯会议(会议号:138 663 656 无密码)
报告人:陈如通
题目:deformation and complex structure of projective space
摘要:In this report, we will talk about the infinitesimal and global deformations of complex projective spaces, the conjecture of uniqueness of complex structure of projective space and its relationship with the nonexistence of complex structure of 6-dimensional sphere.

 

第三十五周论文讨论班

时间:北京时间3月23日上午9:00-10:00
地点:腾讯会议(会议号:659 953 573 无密码)
报告人:夏天澄
题目:Invariance of plurigenera
摘要:In this report, we will review Siu's paper "Invariance of plurigenera" in 1998, where plurigenera, also called m-genus P_m(X) ( arbitrary positive integer m) , is defined as the dimension of Γ(X,mK_X). This topic has been popular, especially in the past years there have been some new results. After that, we can briefly discuss the recent results.

 

第三十四周论文讨论班

时间:北京时间3月16日上午9:00-10:00
地点:腾讯会议(会议号: 382 442 458 无密码)
报告人:纪正超
题目:Lower Bounds for Eigenvalues of Laplacian
Operator and the Clamped Plate Problem               
摘要:In this talk, we give some lower bounds for several eigenvalues.Firstly, we investigate the eigenvalues λ i of the Laplace operator and prove a sharp lower bound. Moreover, we extent this estimate of the
eigenvalues to general cases. Secondly, we study the eigenvalues Γ i for the clamped plate problem and deliver a sharp bound for the clamped plate problem for arbitrary dimension.

 

第三十三周论文讨论班

时间:北京时间3月9日上午9:00-10:00
地点:腾讯会议(会议号: 216 905 010 无密码)
报告人:周丽
题目:Overview of Hodge theory 2
摘要:This thesis briefly summarizes the Hodge theory on Kahler manifolds. Using the exterior differential operator to introduce the Laplace operator, and then prove the Hodge decomposition theorem.

 

第三十二周论文讨论班

时间:北京时间3月2日上午9:00-10:00
地点:腾讯会议(会议号: 476 615 346 无密码)
报告人:周丽
题目:Overview of Hodge theory
摘要:This thesis briefly summarizes the Hodge theory on Riemann manifolds and Kahler manifolds.  On the Riemann manifolds, we manily describe the relevant concepts. Using the exterior differential operator to introduce the Laplace operator, and then prove the Hodge decomposition theorem. On kahler manifolds, we mainly illustrate the Hodge decomposition theorems.

 

第三十一周论文讨论班

时间:北京时间2月23日上午9:00-10:00
地点:腾讯会议(会议号: 130 966 461 无密码)
报告人:胡茜茜
题目:Application of stochastic control problem in stock market
摘要:This report introduces the transition from continuous optimal control problems to stochastic control problems and the application of stochastic control problems in the stock market.