中国科大学位与研究生教育
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主讲教师:Meijun Zhu 人气:8336 更新时间: 2014年11月30日
This series of short course mainly on some topics:the first a generalized Poisson equation with zero boundary value;the second topic is about Sobolev inequality, a new idea on Hardy-Littlewood-Sobolev-Lieb inequality;the third topic is about Yamebe problem.
主讲教师:陈秀雄 人气:5795 更新时间: 2014年11月05日
本讲主题是“Analytic aspects of Kaehler geometry”,第一讲主要是Kahler 几何的overview,后面则主要讲quite basic concepts on Kahler Geometry.
主讲教师:Antonio Ache 人气:7832 更新时间: 2012年07月12日
In this series of lectures we will present a self-contained introduction to the theory of asymptotics for solutions of elliptic and parabolic equations developed by Leon Simon. We will discuss two important applications of the theory, namely: 1) The Cheeger-Tian technique for proving uniqueness of tangent cones at infinity for Ricci-flat metrics with quadratic curvature decay and Euclidean volume growth, 2) The study of Harmonic maps and the uniqueness problem for tangent maps with isolated singularities.
主讲教师:Prof. Laurentiu Maxim 人气:1147 更新时间: 2014年11月09日
2013年几何暑期学校系列讲座- Prof. Laurentiu Maxim 课程名称:Characteristic classes of singular toric varieties 授 课 人:Prof. Laurentiu Maxim (University of Wisconsin Madison, USA) 课时安排: 7月2日,周二,14:00~16:00 p.m. Room 1418 欢迎广大师生参加!
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.
主讲教师:Vladmir Baranovsky 人气:7877 更新时间: 2012年09月28日
Ideal in the polynomial rings, Hilbert Basis Theorem and Nullstellensatz. Affine algebraic varieties and their morphisms. Dimension. Projective varieties and homogeneous ideals. Vector bundles. Grassmannians and varieties determined by rank conditions. Hilbert Polynomials and Bezout’s Theorem. Algebraic Curves, linear systems and Riemann-Roch Theorem.
主讲教师:Qi Zhang 人气:7100 更新时间: 2014年11月03日
中国科大研究生教育创新计划项目之2012 年几何学暑期学校讲座。来自美国和欧洲的十位教授将于中国科大数学科学学院开设几何学暑期学校课程, 内容包括 Riemann 几何与 Lorenz 几何介绍, 2阶椭圆型 PDEs, 以及复几何介绍
主讲教师:Zhiyuan Li 人气:1298 更新时间: 2014年11月08日
2013年几何学暑期学校系列讲座-Zhiyuan Li 报告人: Zhiyuan Li (Szego assistant professor at Stanford University ) 课时安排: 7月4日,7月8日,14:30-16:30 授课教室:1418 报告内容: 7月4日 Title: Noether-Lefschetz theory and applications (I): Special cubic fourfolds and modular forms Abstract: In this talk, I will talk about the degree of special cubic fourfoulds divisors. In particular, we show that the generating series of these degrees is a level three modular form. The modularity comes from Noether-Lefschetz theory and Borcherd's work, which I will introduce in this lecture. This work is joint with Letao Zhang. 7月8日 Title: Noether-Lefschetz theory and applications (II):Noether- Lefschetz conjecture for K3 surfacesAbstract: After introducing the Noether- Lefschetz divisors on moduli K3 surfaces, we prove the Noether-Lefschetz conjecture for low degree K3 surfaces. For the second half of this talk, I will also briefly talk about its close relation to automorphic represe
主讲教师:Hein Hans Joachim 人气:1352 更新时间: 2014年11月30日
Our main goal is to prove some of the structure theorems for Riemannian manifolds with uniform lower bounds on their Ricci curvature due to Cheeger and Colding in the mid-1990's. This involves an interesting mix of Riemannian geometry and geometric analysis. In particular, we will use our main goal as an excuse to talk about many different ideas and techniques in the field. The only prerequisites are basic courses on manifolds and Riemannian geometry. Some previous experience with linear elliptic equations is helpful but not necessary.
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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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