学术报告
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Minimizers of Curl Prescribed Full Trace in a Multiconnected DomainThis talk concerns the minimization problem of $L^2$ norm of curl of vector fields in multiconnected bounded domains prescribed full trace on the boundary. The existence and $H^2$ estimate of the minimizers are established.陈隽 博士宁静楼107室6月20日,星期三,下午3:45-4:45
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Control Design with Guaranteed Transient Performance: a Set-Theoretic Approac...In this seminar, a novel approach is presented for control design with guaranteed transient performance for multiple-input multiple-output discrete-time linear polytope difference inclusions. We establish a theorem that gives necessary and sufficient conditions for the state to evolve from one polyhedral subset of the state-space to another. Then we present an algorithm which, given a time-varying polyhedral set called the target tube, which may be specified from typical transient performance specifications, constructs an output feedback law that guarantees that the state evolves in this tube.王庆国 院士2018年6月18日(周一) 10:30
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On the Existence of Positive Scalar Curvature on Small Covers and Real Moment...We study small covers and the real moment-angle manifold over a simple polytope that admit Riemannian metrics of positive scalar curvature. We first explain some general facts on the existence of positive scalar curvature on a smooth manifold.Then we show a class of simple polytopes over which the small covers and the real moment-angle manifolds于立 教授致远楼101室2018年6月15日 14:50-15:50
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Towards the Cabling Conjecture from Heegaard SplittingIn this talk, I will introduce a possible way to consider the cabling conjecture from the view of Heegaard splitting.邱瑞锋 教授致远楼101室2018年6月15日 16:10-17:10
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On Kosniowski ConjectureLet M be a unitary closed manifold that admits an action of a circle preserving the unitary structure and fixing some isolated points. Kosniowski conjectured in 1980 that if M is not a boundary, then the number of isolated points is at least [dim M/4]+1. This talk will discuss different statements of Kosniowski conjecture and state some recent progresses.吕志 教授致远楼101室2018年6月15日 13:30-14:30
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Brown-York Mass and Positive Scalar CurvaturePositive mass theorem is one of the most fundamental results in both physics and mathematics. It has many applications in various fields of geometric analysis. As its compact manifold version, the positive mass theorem for Brown-York mass has been also proved to be a very powerful tool in the study of geometry. In this talk, we will briefly review the positive mass theorem due to Schoen-Yau-Witten and Brown-York mass theorem due to Shi-Tam. As applications of Shi-Tam's result, we show how to use it to derive some interesting geometric results such as estimates of first eigenvalue of Laplacian with scalar curvature positively lower bounded and an area estimate of critical set for Besse's conjecture etc.袁伟致远楼101室2018 年 06 月11 日 10:30-11:30
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Integer Flows of Cayley Graphs题目:Integer Flows of Cayley Graphs报告人:张存铨 教授 (West Verginia University)时间:2018年6月9日上午10:00地点:致远楼101室欢迎大家前往听讲张存铨 教授致远楼101室2018年6月9日上午10:00
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Hausdorff Dimension Related to Beta Expansions在这个报告中,我们首先介绍分形几何中Hausdorff测度与Hausdorff维数的概念并介绍如何求解古典三分Cantor集的Hausdorff维数,然后简单介绍我们近期在Beta展式研究中所取得的部分结果。李文侠 教授致远楼101室2018年5月31日 16:00-17:00