学术报告
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An approximation method to nonlinear multi-objective programs学术报告报告人:梁治安教授(上海财经大学)题目: An approximation method to nonlinear multi-objective programs时间:2015年11月03日(星期二)下午4:00—5:00地点:数学系致远楼102欢迎各位参加梁治安教授数学系致远楼1022015年11月03日(星期二) 下午4:00—5:00
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Geometric construction of crystal bases and its applicationsThis series of lectures is divided into three parts. In the first part, we will give precise definitions of crystal and canonical (=global crystal) bases of quantum universal enveloping algebras, and introduce their basic properties in algebraic point of view. In the second part, we will explain how to reformulate the above terminologies in geometrical language. In our geometric construction, certain varieties associated quivers, so-called “quiver varieties” are used. In geometric point of view, crystal bases are identified with the sets of irreducible Lagrangian subvarieties of quiver varieties, and canonical bases are identified with certain simple perverse sheaves on quiver varieties. In the third part, we restrict ourselves in type A. In this case, a quiver variety can be identified with a subvariety of a “flag variety”.齐藤义久致远楼107教室2015年10月27日至11月5日
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On the transversality of triple intersections of Schubert varietiesThe cohomology ring of a complex Grassmannian has an additive basis of Schubert cohomology classes. The well-known Littlewood-Richardson rule gives a manifestly positive formula of the structure constants in the cup product of Schubert classes, which count the intersection number of the corresponding Schubert varieties in general position. In this talk, we will discuss how special the general position could be, provided that one given Schubert variety is a divisor. This is my joint work with DongSeon Hwang, Hwayoung Lee and Jae-Hyouk Lee.李长征致远楼1082015年10月26日10:00-11:00
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Some geometric PDEs on manifoldsIn this talk, I present my recent works on some geometric PDEs on manifolds, including Donaldson's equation on Hermitian manifolds for which I give an affirmative answer to an open problem, Ricci-harmonic flow for which I study the long time existence in terms of scalar curvature and Weyl tensor, and heat type flow on vector fields for which a joint work with Kefeng Liu proves the convergence and discusses its applications to the long standing conjectures of Hopf and Yau.李逸数学系致远楼1072015年10月23日 15:30-16:30
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Fast Convergence of an Inertial Gradient-like System with Vanishing Viscosity学术报告报告人:Prof J. Peypouquet (Univesidad Tecnica Federico Santa Maria) 题目: Fast Convergence of an Inertial Gradient-like System with Vanishing Viscosity时间:2015年10月23日(星期五)上午10:30—11:30地点:数学系致远楼102欢迎各位参加Prof J. Peypouquet数学系致远楼1022015年10月23日(星期五) 上午10:30—11:30
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Convergence of descent methods for semi-algebraic and tame problems学术报告报告人:Prof H. Attouch (Universite Montpellier 2)题目: Convergence of descent methods for semi-algebraic and tame problems时间:2015年10月23日(星期五)上午9:30—10:30地点:数学系致远楼102欢迎各位参加Prof H. Attouch数学系致远楼1022015年10月23日(星期五) 上午9:30—10:30
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Biological systems with multiple stable statesIn this talk, I will present some of our recent work on biological systems with multiple stable states. We show that these models could exhibit multistability phenomena: (i) node-node bistability; (ii) node-cycle bistability; (iii) cycle-cycle bistability; (iv) node-node-cycle tristability and (v) node-node-torus tristability. The talk is based on joint work with Xi Hu, Hongying Shu and James Watmough.王林致远楼102室10 月 15 日(星期四),上午 9:00-10:00
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Effect of time delays in an HIV virotherapy model with nonlinear incidenceIn this talk, we propose a mathematical model for HIV infection with delays in cell infection and virus production. The model examines a viral-therapy for controlling infections through recombining HIV virus with a genetically modified virus. For this model, we derive two biologically insightful quantities (reproduction numbers) R_0 and R_z, and their threshold properties are discussed. When R_0 < 1, the infection-free equilibrium E_0 is globally asymptotically stable. If R_0 > 1 and R_z<1, the袁媛致远楼10210 月 15 日(星期四),上午 10:00-11:00