学术报告
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L2 Interpretation of Intersection CohomologyIntersection cohomology is introduced by Goresky and MacPherson as a cohomogy theory on singular spaces which admit the Poincare duality. Decades of works show that this cohomology theory share a bunch of good properties such as Lefschetz package, Hodge-Riemann bilinear relation and Hodge theoretic purity. Although the theory is well established in the context of topology and algebra, the de Rham theorem remains open. In this talk I will introduce the basic knowledge of intersection cohomology and present a solution of the de Rham theorem for intersection cohomology when the space is algebraic and admits only equisingularities. This is the joint work with Chen Zhao.申屠均超 副研究员 (中国科学技术大学)致远楼101室2020年1月3日 下午3:00-4:00
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Presenting Hecke Endomorphism Algebras by Hasse Quivers with RelationsAssociated with a Coxeter group W, we may define a Hecke algebra H(W) and an endomorphism algebra E(W), called the Hecke endomorphism algebra. We use the defining relations for Hecke algebras to give a presentation for E(W) over a certain ring and speculate an extension to the integral case which is the key ingredients to categorify E(W) via singular Soergel bimodules.杜杰 教授 (新南威尔士大学)致远楼108室2019年12月31日 16:00-17:00
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Partial Entropy Along Expanding FoliationsWe are going to recall the definition of partial entropy along expanding foliation, and its regularity with respect to maps杨佳刚 教授 (Universidade Federal Fluminense)宁静楼110室2019年12月29日 14:00 – 15:00
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Relaxation Approximation for Navier-Stokes EquationsConsider the approximation of Navier-Stokes equations for a Newtonian fluid by Euler type systems with relaxation. This requires to decompose the second-order derivative terms of the velocity into first-order terms. We use Hurwitz-Radon matrices for this decomposition. We prove the convergence of the approximate systems to the Navier-Stokes equations locally in time for smooth initial data and globally in time for initial data near constant equilibrium states.彭跃军 教授 (克莱蒙奥佛涅大学)致远楼101室2019年12月26日上午10:00-11:00
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Distributed Online Optimization for Multi-Agent NetworksOnline optimization where the cost function is gradually revealed has a lot of applications in machine learning. Recently, there has been interest in distributed online optimization due to the widespread wireless connection and the emergence of internet of things. This talk is focused on the distributed online optimization problem over a multi-agent network subject to local set constraints and coupled inequality constraints, which has a large number of applications in practice, such as wireless sensor networks, power systems and plug-in electric vehicles. We present a primal-dual algorithm which overcomes the limitations of existing works where balanced graph and boundedness of certain algorithm parameter are assumed which are inappropriate.Dr. Lihua Xie (Fellow of IEEE, Fellow of IFAC and Fellow of CAA, Nanyang Technological University, Singapore)致远楼101室2019年12月24日(周二)9:45
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Representations of Lie Algebras of Vector Fields on Algebraic VarietiesWe will discuss recent developments in the representation theory of Lie algebras of polynomial vector fields on algebraic varieties (based on joint results with Y.Billih, J.Nilssen and A.Zaidan). In particular, we focus on the classification of irreducible representations of the Lie algebra of vector fields on a torus.Prof. Vyacheslav Futorny (巴西圣保罗大学)致远楼108室2019年12月23日(周一) 16:00-17:00
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Some Rigidity Results on Minimal Hypersurfaces in Unit SpheresWe introduce a recent (on-going) work joint with Fagui Li on minimal hypersurfaces in unit spheres, where some integral inequalities and their equality characterizations are obtained.葛建全 教授 (北京师范大学)致远楼101室2019年12月19日 16:00-17:00
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Analysis on Some Non-Local Type PDEsWe present some work on analysis of elliptic PDEs of non-local types. And we give a brief introduction on: some basic maximum principles, existence and uniqueness, classi_cations and Liouville type theorems, Bocher type theorems and the related maximum principles for singular solutions. The focus is on the ideas and related basic estimates behind these research work. We will also discuss some basic estimates for linear equations.李从明 教授 (上海交通大学 太平洋在线会员登录)致远楼103室2019年12月19日 16:00-17:00