首都师范大学数论研究组讲座分享 http://blog.sciencenet.cn/u/cnuarith

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方江学+李刚

已有 6300 次阅读 2010-11-23 12:58 |个人分类:数论组讲座|系统分类:博客资讯

报告人: 方江学(中科院数学和系统科学研究院) 题名:Stationary phase principle of Fourier transform of D-modules 摘要:The stationary phase approximation is a basic principle of a special class of asymptotic fourier analysis, such as oscillatory integrals. Under some conditions, the major contribution to the value of oscillatory integral comes from neighborhoods of those critical points of the integrand. Local Fourier transforms of D-modules can be viewed as the restriction of global Fourier transform which is defined by a Gauss-Manin connection. From this point of view, Bloch and Esnault defined the local Fourier transforms of D-modules by the technical tool of good lattices pairs of connections. Using this method, I will prove a similar stationary phase formula in this taik. We will see that the local behaviour at the infinity of the Fourier transform of a holonomic D-module depends only on the local behaviour of this D-module at its singular points and at the infinity. Time: 2010 Nov. 29 Monday,3:10pm-4:10pm 报告人: 李刚(首都师范大学) 题目: Hodge理论简介 摘要: ICM2010年关于Hodge理论的总结。 Time: 2010 Nov. 29 Monday,4:20pm-5:20pm

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