中国科大学位与研究生教育
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主讲教师:薛江维 人气:2625 更新时间: 2015年05月21日
研究生教育创新计划GAP研讨班系列讲座之五十二 In this talk, we will review the Honda-Tate theory and try to answer the following question: when is a CM-field the endomorphism algebra of an Abelian variety defined over a finite field.
主讲教师:Rongjie Lai 人气:1430 更新时间: 2015年03月22日
研究生教育创新计划GAP研讨班系列讲座之四十二【Rongjie Lai】 Point clouds are the simplest and most basic forms for data representation in 3D and higher. Examples include those used in 3D modeling, image science, the Internet and many others. Analyzing and inferring the underlying structure from the point clouds are crucial in many applications. However, these raw data or primitive representations in Rn are lack of global parameterization and far from intrinsic, which obstruct further intrinsic and global analysis for given data. On the other hand, point clouds from practical problems are usually with certain coherent structures which allow us to model them as points sampled from lower dimensional Riemmannian manifolds in a high dimensional space. In this talk, I will discuss our work on solving PDEs on point clouds. It can be applied to manifolds with arbitrary dimensions and co-dimensions. This approach enables us to propose geometric methods for analyzing and understanding point clouds through solutions of PDEs on point clouds. As applications, I will demonstrate our methods to intrinsic geometric quantities extraction, comparison and registration for point clouds based on solutions of certain geometric PDEs. (Joint work with Hongkai Zhao)
主讲教师:Chenxu HE 人气:3631 更新时间: 2015年03月22日
Ricci solitons are self-similar solutions to Hamilton's Ricci flow and they play a particular role in the singularity analysis of Ricci flow. They are also natural generalization of Einstein manifolds. We present a few results in the study of geometry of gradient Ricci solitons, including the stability problem for the shrinking Ricci solitons with respect to Perelman's shrinker entropy and show the classification on symmetric spaces of compact type, and the deformation of steady gradient Ricci solitons and show that the infinitesimal deformation is trivial in low dimension.
主讲教师:张毅 人气:2291 更新时间: 2015年03月22日
We will discuss the construction of a Kaehler metric on a smooth quasi-projective manifold $S$ which effectively parameterizes polarized projective manifolds with semi-ample canonical line bundles, and its application to hyperbolicity.
主讲教师:张先得 人气:680 更新时间: 2016年05月10日
主讲教师:田可雷 人气:1641 更新时间: 2015年10月20日
研究生教育创新计划GAP研讨班系列讲座之五十九摘要:Kadomtsev-Petviashvili hierarchy is an important integrable system. The talk aims to give a general introduction to KP hierarchy and its q-deformation. In particular, I will talk about Virasoro type algebraic structure hidden in the q-deformed KP hierarchy.
主讲教师:Cristofol Michel 人气:2340 更新时间: 2015年03月22日
报告摘要: In this talk, I analyze the inverse problem of determining the reaction term $f(x, u)$ in reaction-di usion equations of the form $partial_t u-Dpartial_ {xx}u = f(x, u)$, where $f$ is assumed to be periodic with respect to $xin mathbb{R}$. Starting from a family of exponentially decaying initial conditions $u_{0, lambda}$, I will show that the solutions $u_{lambda}$ of this equation propagate with constant asymptotic spreading speeds $w_{ lambda}$. The main result shows that the linearization of $f$ around the steady state $0$, $partial_u f(x, 0)$, is uniquely determined (up to a symmetry) among a subset of piecewise linear functions, by the observation of the asymptotic spreading speeds $w_{lambda}$.
主讲教师:张红莲 人气:1770 更新时间: 2015年03月22日
研究生教育创新计划GAP研讨班系列讲座之三十九【张红莲】 It is well known that quantum affine algebras admit two realizations because they are both quantum Kac-Moody algebras and quantum affinizations. In general, a quantum affinization is not a quantum Kac-Moody algebra. The representation theory of quantum affine algebras is very rich and interesting. In this talk, I will review some results on the structures and representations of quantum affine algebras and discuss some related problems.
主讲教师:尧小华 人气:1350 更新时间: 2014年12月07日
This talk is concerned with the uniform Sobolev estimates of the Laplace-Beltrami operator on a compact manifolds M. Specifically, if the pair (1/p,1/q) is on the Sobolev line 1/p?1/q=2/n and p<2(n+1)/(n+3) and q>2(n+1)/(n?1), then we will prove that the resolvent is uniformly Lp-Lq-bounded outside a parabola opening to the right and a small disk centered at the origin, which is optimal on Sphere (or Zoll manifolds ). Using the shrinking spectral project estimates, we further obtain a logarithmic improvement over the parabolic region for resolvent estimates on manifolds with non-positive sectional curvature and a power improvement for flat torus.
主讲教师:Misha Verbitsky 人气:8871 更新时间: 2014年11月30日
Kahler geometry is one of the basic tools of algebraic geometry and the study of complex manifolds. Also, Kahler geometry provides many examples for symplectic geometry and Riemannian geometry. I will give an introduction of Kahler geometry, starting with basics (de Rham differential and Levi-Civita connection). The topics to cover: 1. Vector bundles and analysis on manifolds. 2. Connections in vector bundles. 3. Levi-Civita connection and its holonomy. 4. Kaehler manifolds and their holonomy. Examples of Kaehler manifolds. 5. Supersymmetry on Kaehler manifolds and its applications. 6. Berger's classification of irreducible holonomies and its applications. Some knowledge of topology (manifolds,smooth maps) and linear algebra (tensor product,Grassmann algebra) will be helpful.
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Aranda Pino
Profesor of Department of Algebra, Geometry and Topology Science Faculty, University of Málaga, Spain. Research Interests: Leavitt path
Nikos Hadjichristidis
Prof. Nikos Hadjichristidis, Department of Chemistry, University of Athens.
蔡荣根
中国科学院理论物理所研究员,博士生导师。中国引力和相对论天体物理学会副理事长(2008-) 中国科学技术大学交叉学科理论研究中心兼职教授
欧阳钟灿
欧阳钟灿,中国科学院院士。1968年清华大学自控系毕业,1981年清华大学物理系固体物理专业获硕士学位,1984年获光学专业理学博士学位。1985-1986年在理论物理所
Manuela M. Veloso
Manuela M. Veloso教授是国际人工智能和自主机器人领域的主要学界领导人和学术带头人之一,取得了一系列杰出成就,其中部分成果产生了深远的影响。
庄小威
庄小威,华裔美籍生物物理学家,美国国家科学院院士, 哈佛大学化学与化学生物、物理学教授,创办有庄小威实验室。
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