越南数学家Ngo Bao Chau证明的一个基本引理被《时代》杂志列为2009年朗兰兹纲领由加拿大数学家罗伯特·朗兰兹发起，是一个旨在联系数论和群表示论的数学蓝图，包含一系列相互关联的猜想，其中的基本引理在过去三十年间只给出了特殊情形的证明。2008年Ng?B?o Chau给出了一般情形下基本引理的证明，其证明在今年被认定是正确无误的，Peter Sarnak评论说Ng? B?o Chau的证明让相关领域的数学家舒了一口气。Ng? B?o Chau生于1972年，其父是一位物理学家，Ng? B?o Chau少年时是奥数金牌得主，成年后赴巴黎深造。2004年和Laumon一起因给出基本引理在酉群情形的证明而获得clay数学研究奖，33岁时成为越南最年轻的教授。
鉴于朗兰兹纲领已经造就了德林费尔德、洛朗·拉福格两位菲尔兹奖得主，Ng? B?o Chau有望今年在印度海得拉巴举行的国际数学家大会上问鼎菲尔兹奖。Ngo在宏伟的长达几十年的langlands纲领里面消除了一个重大的障碍，揭示了看似没有关系的数学领域隐藏的联系，他给理论的一大部分提供了坚实的基础，他新开发的技术将引发新结论即将到来的洪水大爆发。
Ngo取得的成就的道路始于1967年，当年数学家https://www.doczj.com/doc/6910942331.html,nglands有一个看来就象相隔几亿光年外的空间有虫洞连接那种大胆的数学领域的设想。他的建议是如此庞大，看起来几乎不可能，当他第一次写信给伟大的数论学家A.Weil时，却用着羞怯的字条：“如果你愿意看我这个纯粹的猜测我将不胜感激信;如果不愿意看的话，你有可以将他丢进你的废纸篓。“朗兰兹然后制定了一个已被证明是一个大面积研究领域的路线图的一系列令人眼花缭乱的猜测。
这些绝大多数仍未经证实的猜测，预计占用将来几代数学家的精力。即使如此，Langlands 纲领迄今取得的进展已为新的数学结果证明提供了强大的动力，包括A.Wiles对费马最后定理和Taylor的Sato-Tate猜想的证明。该Langlands纲领将全面实现统一很多现代数学领域，包括数论，群论，表示理论，代数几何。
从Langlands纲领发展而来的一个工具是Arthur-Selberg trace formula的公式，这个公式准确的显示了利用“几何信息”如何计算“算术信息”。这本身是有价值的，而且它是证明作为langlands纲领伟大支柱之一的Langlands’ Principle of Functoriality的基石。但langlands在试图使用迹公式时绕过一个恼人的绊脚石。他不断地遇到看上去显然相等的复杂的有限和，但他不能完全弄清楚如何证明这一点。这就好像一个简单直接的问题，人们可以随便组合摆弄一下就解决了，所以langlands称它是“引理” ，并分配到一个研究生。
当研究生无法证明这一引理时，langlands他又叫了一个研究生来证...，后来实在没有人能证，于是他就只能自己亲自出马。然而这个问题并不是那么简单，于是他征求了其他数学家的意见。在同一时间，因为每个人都依然无法证明这一点，迫切需要这个结果变得越来越明显。所以，问题来了一个稍微宏伟标题：“基本引理。”
经过三十几年的工作，只有少数特殊情况下取得了验证。这个引理缺少证明将会成为那些假设它是真实的并开创了许多新结果和理论的数学家们继续前进的路障，如果这个引理不正确，那么这些数学家开创的新理论将会全部崩溃。
Ngo就是那个最终解决这个开放问题的人。他意识到，在基本引理的出现的神秘复杂，可以看作是自然产生出来的复杂的数学对象称为Hitchen fibrations。他的做法是完全新颖和出人意料的：Hitchen fibrations是最接近数学物理的纯粹的几何对象，也几乎是人们所能想象的到的在最纯的纯数学里最接近这个问题的最后一个概念。
这立即清楚的表明Ngo已经作出了深刻的联系。他的方法将恼人的，复杂的基本引理变成了一个简单的，关于Hitchen fibrations的基本声明。甚至在他还没成功地完成证明之前，他已经取得了令人印象深刻的成绩：他已经真正的理解了。
此外，通过把这一问题放在更大的框架下，Ngo创造了强大的新工具来攻克它。2004年，他与Laumon教授一同证明了一些重要而艰巨的特殊情况，2008年，Ngo利用他自己的新方法，攻克了这个问题。
Ngo的方法是如此新奇，数学家期望他的这些方法也能撬开其他的一些问题，一个主要目标就是用他的“内窥镜的理论”攻克langlands纲领的另一部分。
他的技术甚至可能给the full Principle of Functoriality的证明指明方向，这将非常接近全部实现langlands最初的愿景。现在已是超过70岁的langlands，仍然在努力工作，已制定了一个高度机敏，但诱人的方法来解决问题。但仍远远没有明确表示这些想法会导致一个证明，但是如果他们这样做的话，他们将不得不依赖于Ngo已推出的各种几何观念。
过去三十年相关领域的数学家一致期望Langlands Program中的一个基本引理会被证明的确是精确的。Ngo Bao Chau一位在法国Université Paris-Sud 和普林斯顿Institute for Advanced Study (IAS) 工作的越南数学家（1972年生于越南河内），证明了这一引理，2009年相关领域的数学家验证了他的证明。这一结果被《时代》杂志列为2009年度十大科学发现的第七项。
Ngo Bao Chau accepts invitation to become Chicago University professor
16:50' 27/01/2010 (GMT+7)
VietNamNet Bridge –Renowned Vietnamese mathematician Ngo Bao Chau has accepted an invitation to become a professor at the University of Chicago. Chau will officially begin his new position on September 1, 2010.
Robert Fefferman, Professor of Mathematics and Dean of the
Physics Department at the University of Chicago remarked
said that Chau is clearly one of the greatest mathematicians
in modern times and that he had high expectations for the
young man.
Peter Constantin, Dean of the Mathematics Department who
will work closely with Chau, noted that Chau has made
breakthrough achievements with with his work, successfully
connecting two important fields of mathematics, arithmetic
and geometry.
Peter believes that with Ngo Bao Chau and other excellent faces such as Kato, Beilinson and Drinfeld, Chicago University will have a brilliant staff lineup.
When asked about the decision to become a UC professor, Chau replied that the opportunity to
cooperate more closely with UC colleagues played a very important role in his decision.
On December 9, Time Magazine 9 announced its top ten lists for 2009 and included Professor Ngo Bao Chau’s solution of the “fundamental lemma.” With his work, Chau has become a brilliant candidate for the highest mathematics prize – the Fields Medal.
According to Dr. Ngo Viet Trung, head of the Mathematics Institute, with Chau solving the “fundamental lemma”, the Langlands program has entered a new stage.
According to Time Magazine, the Canadian-American mathematician Robert Langlands developed an ambitious and revolutionary theory in 1979 that connected two branches of mathematics called number theory and group theory. The theory captured deep symmetries associated with equations involving whole numbers, laying out what is now known as the Langlands program.
Langlands believed that the task of proving his theory would take generations. He was convinced, however, that one stepping stone that needed confirmation dubbed, the "fundamental lemma" - would be reasonably straightforward.
He, his collaborators and his students were able to prove special cases of this fundamental theorem. Proving the general case proved more difficult than anticipated - so difficult, in fact, that it took 30 years to finally achieve.
Ngo Bao Chau was born in 1972. He was once a member of the mathematics majors at Hanoi University of Natural Sciences.
In 1988, Chau won the gold medal at the International Mathematics Olympiad in Australia. In 1989, he won another gold medal at the International Mathematics Olympiad in Germany.
Chau defended his doctoral dissertation in France when he was just 25.
In 2005, Chau was recognized as an exceptional mathematics professor when he was 33 years old, becoming the youngest professor in Vietnam.
Ngo Viet Trung said that Chau is planning to invite some leading mathematics experts to Vietnam to conduct research on Langslands programme.
吴宝珠是在巴黎高等师范学院练过的又在最令人心仪的普林斯顿高等研究院访问研究而郎兰兹就在那里当教授天时地利人和是他被誉为近三十年来最伟大的数学家而且现在他才虚岁38 估计获奖是没多大问题了
2010年菲尔兹奖揭晓
2010年菲尔兹奖揭晓
前天下午3点，据印度班加罗尔四年一届的国际数学家大会现场消息，素有数学诺贝尔奖之称的菲尔兹奖揭晓，获得这个具有崇高声望的大奖的数学家有：
Bao Chau Ngo ：越南数学家，目前在美国普林斯顿高等研究院工作，获奖理由：证明了朗兰兹纲领中的自守形式理论的基本引理。
Elon Lindenstrauss：以色列数学家，目前在美国普林斯顿大学工作，获奖理由是：遍历理论的测度刚性及其在数论中的应用。
Stanislav Smirnov ：俄罗斯数学家，目前在瑞士日内瓦大学工作，获奖理由是：证明了统计物理中平面伊辛模型和渗流的共形不变量。
Cédric Villani ：法国数学家，目前在法国庞加莱研究所工作，获奖理由是证明了玻尔兹曼方程的非线性阻尼以及收敛于平衡态。
其它奖项（都是终身成就奖）及其获奖人包括：
高斯奖，Yves Meyer，法国巴黎高等师范学校，以在数论、调和分析、小波分析等方面的基础贡献获奖。
那望林纳奖，Daniel Spielman，美国耶鲁大学应用数学家，以线性规划研究中的诸多贡献获奖
陈省身奖（首次颁发），Louis Nirenberg ，美国纽约大学柯朗研究所，以奠基现代非线性椭圆方程理论获奖。
值得一提的是，本次获奖名单与此前多数预测只有少数符合。例如菲尔兹奖，除了Bao Chau Ngo 外，其他3个都被认为不太热门，而很多热门人物都落选，如英国Ben Green，巴西Artur Avila，印度Manjul Bhargava（他有主场优势）等。其它3个成就奖更是早就被认为不可预测，因为符合条件的人太多了。
另外，法国和美国是最大赢家。法菲尔兹奖除Alon与法国没有渊源外，其它三个与法国都有很深的渊源，另外三个成就奖中，法国也占了1位，可见法国数学之强。当然，还是美国最强了！
ICM 2006－－Invited Speakers
ICM 2006－－Invited Speakers
1. Logic and Foundati*****
Model theory. Set theory and general topology. Recursion. Logics. Proof t
heory. Applicati*****.
INVITED SPEAKERS
Rod Downey
Victoria University, Wellington, New Zeeland
Itay Neeman
University of California, Los Angeles, USA
Michael Rathjen
The Ohio State University, Columbus, USA
Thomas Scanlon
University of California, Berkeley, USA
Simon Thomas
Rutgers University, New Brunswick, USA
2. Algebra
Finite groups and their representati*****. Infinite and topological groups (except as specified in section 7). Combinatorial group theory. Rings, algebra s and modules (except as specified in section 7). Algebraic K-theory. Category theory and homological algebra. Computational algebra.
INVITED SPEAKERS
William Crawley-Boevey
University of Leeds, Leeds, United Kingdom
Bernard Keller
Université Denis Diderot, Paris, France
Raphael Rouquier
Université Denis Diderot, Paris, France
Mark Sapir
Vanderbilt University, Nashville, USA
Akos Seress
The Ohio State University, Columbus, USA
Agata Smoktunowicz
Institute of Mathematics of the Polish Academy of Sciences, Warsaw, Poland
JOINT LECTURE
Marcus du Sautoy
University of Oxford, Oxford, United Kingdom
Fritz Grunewald
Heinrich-Heine-Universit?t Düsseldorf, Düsseldorf, Germany
3. Number Theory
Analytic number theory. Algebraic number theory. Local and global fields, thei
r Galois groups and representati***** of these groups. Zeta and L-functi***** and their special values. Diophantine equati*****. Arithmetic on algebraic varieties
. Diophantine approximation, transcendental number theory and geometry of numb ers. Arakelov theory. Modular forms and curves. p-adic analysis. p-adic repres entati***** of p-adic groups. Computational number theory.
INVITED SPEAKERS
Manjul Bhargava
Princeton University, Princeton, USA
Ching-Li Chai
University of Pennsylvania, Philadelphia, USA
Henri Darmon
McGill University, Montréal, Canada
Kazuhiro Fujiwara
Nagoya University, Nagoya, Japan
Ben J. Green
University of Bristol, Bristol, United Kingdom
Gérard Laumon
Université de Paris-Sud, Orsay, France
Philippe Michel
Université de Montpellier II, Montpellier, France
Wieslawa Niziol
University of Utah, Salt Lake City, USA
Vinayak Vatsal
University of British Columbia, Vancouver, Canada
JOINT LECTURE
Chris Skinner
University of Michigan, Ann Arbor, USA
Eric Urban
Columbia University, New York, USA
4. Algebraic and Complex Geometry
Algebraic varieties, their cycles, cohomologies and motives (including positiv e characteristics). Schemes. Commutative algebra. Low dimensional varieties. S ingularities and classification. Birational geometry. Moduli spaces. Abelian v arieties and p-divisible groups. Sheaves. Transcendental methods, topology of algebraic varieties. Complex differential geometry, Kahler manifolds and Hodge theory. Relati***** with mathematical physics and representation theory. Real a lgebraic and analytic sets. Rigid and p-adic analytic spaces. Non-commutative algebraic geometry.
INVITED SPEAKERS
Valery Alexeev
University of Georgia, Athens, USA
Jean-Beno?t Bost
Université Paris-Sud, Orsay, France
Tom Bridgeland
University of Sheffield, Sheffield, United Kingdom
Lawrence Ein
University of Illinois at Chicago, Chicago, USA
Tom Graber
University of California, Berkeley, USA
Jun-Muk Hwang
Korea Institute for Advanced Study, Seoul, Korea
Tomohide Terasoma
University of Tokyo, Tokyo, Japan
Yuri Tschinkel
Georg-August Universit?t G?ttingen, G?ttingen, Germany
Jaroslaw Wlodarczyk
Purdue University, West Lafayette, USA
5. Geometry
Local and global differential geometry. Applicati***** of PDE to geometric probl ems including harmonic maps, minimal submanifolds and flows on the space of me trics. Geometric structures on manifolds. Riemannian and metric geometry. Geom etric aspects of group theory. Symplectic and contact manifolds. Convex geomet ry. Discrete geometry. Geometric rigidity.
INVITED SPEAKERS
Simon A. Brendle
Princeton University, Princeton, USA
Ko Honda
University of Southern California, Los Angeles, USA
Michael Kapovich
University of California, Davis, USA
Bruce Kleiner
University of Michigan, Ann Arbor, USA
Fran?ois Lalonde
Université de Montréal, Montréal, Canada
Xiaobo Liu
University of Notre Dame, Notre Dame, USA
Toshiki Mabuchi
Osaka University, Osaka, Japan
Grigory Mikhalkin
University of Utah, Salt Lake City, USA
William P. Minicozzi
Johns Hopkins University, Baltimore, USA
Yong-Geun Oh
University of Wisc*****in, Madison, USA
Antonio Ros
Universidad de Granada, Granada, Spain
Chuu-Lian Terng
University of California, Irvine, USA
Burhard Wilking
Universit?t Münster, Münster, Germany
6. Topology
Algebraic, differential and geometric topology. 4-manifolds including connecti
***** with gauge theory. 3-manifolds including knot theory and connecti***** with Kleinian groups and Teichmuller theory. Topological quantum field th
eories.
INVITED SPEAKERS
Ian Agol
University of Illinois, Chicago, USA
Martin Bridson
Imperial College London, London, United Kingdom
Mikhail Khovanov
University of California, Davis, USA
Yair Minsky
Yale University, New Haven, USA
Fabien Morel
Universit?t München, München, Germany
Kaoru Ono
Hokkaido University, Sapporo, Japan
Karen Vogtmann
Cornell University, Ithaca, USA
JOINT LECTURE
Peter Ozsváth
Columbia University, New York, USA
Zoltán Szabó
Princeton University, Princeton, USA
7. Lie Groups and Lie Algebras
Algebraic and arithmetic groups. Structure, geometry and representati***** of Li e groups (including real, p-adic and finite of Lie type) and Lie algebras incl
uding infinite dimensional ones. Related geometric and algebraic objects, e.g. symmetric spaces, buildings, vertex operator algebras, Coxeter groups, quantu
m groups. Non-commutative harmonic analysis. Geometric methods in representati on theory. Automorphic forms over global fields, including Langlands program. Shimura varieties. Discrete subgroups of Lie groups. Lie groups and dynamics, including applicati***** to number theory.
INVITED SPEAKERS
Roman V. Bezrukavnikov
Northwestern University, Evanston, USA
A. Braverman
Brown University, Providence, USA
I. Grojnowski
University of Cambridge, Cambridge, United Kingdom
G. Henniart
Université Paris-Sud, Orsay, France
N. Monod
University of Chicago, Chicago, USA
Bao-Chau Ngo
Université de Paris-Sud, Orsay, France
E.M. Opdam
Universiteit van Amsterdam, Amsterdam, The Netherlands
P. Schneider
Universit?t Münster, Münster, Germany
Y. Shalom
Tel Aviv University, Tel Aviv, Israel
B. Speh
Cornell University, Ithaca, USA
D. Soudry
Tel Aviv University, Tel Aviv, Israel
T.A. Springer
Universiteit Utrecht, Utrecht, The Netherlands
8. Analysis
Classical analysis, harmonic analysis (including wavelets and computational as pects), complex analysis in one and several variables, potential theory, geome
tric function theory (including quasi-conformal mappings), geometric
measure theory.
INVITED SPEAKERS
Mario Bonk
University of Michigan, Ann Arbor, USA
Steven Hofmann
University of Missouri, Columbia, USA
Sergey Konyagin
Moscow State University, Moscow, Russia
Linda Rothschild
University of California, San Diego, USA
Stanislav Smirnov
Université de Genève, Genève, Switzerland
Emil Straube
Texas A&M University, College Station, USA
Vladimir Temlyakov
University of South Carolina, Columbia, USA
Xavier Tolsa
Universitat Autònoma de Barcelona, Bellaterra, Spain
9. Operator Algebras and Functional Analysis
Non-commutative geometry, random matrices and free probability, K-theory of C* -algebras, structure of factors and their automorphism groups, subfactors, ope rator-algebraic aspects of quantum field theory, linear and non-linear functio
nal analysis, geometry of Banach spaces, asymptotic geometric ana
7mlysis.
INVITED SPEAKERS
Franck Barthe
Université Paul Sabatier, Toulouse, France
Boáz Klartag
Institute for Advanced Study, Princeton, USA
Ozawa Narutaka
University of Tokyo, Tokyo, Japan
Mikael Rordam
University of Southern Denmark, Odense, Denmark
Stanislaw Szarek
Case Western Reserve University, Cleveland, USA
and
Université Pierre et Marie Curie, Paris, France
Guoliang Yu
Vanderbilt University, Nashville, USA
10. Ordinary Differential Equati***** and Dynamical Systems
Topological and formal dynamics. Geometric and qualitative theory of ODE and s mooth dynamical systems, bifurcati***** and singularities. Hamiltonian systems a nd dynamical systems of geometric origin, e.g. geodesic flows. One-dimensional and holomorphic dynamics. Billiards including rational billiards. Multidimens ional acti***** and rigidity in dynamics. Ergodic theory including applicati***** to combinatorics and combinatorial number theory.
INVITED SPEAKERS
Oleg N. Ageev
Max-Planck- Institut für Mathematik, Bonn, Germany
and
Moscow State Technical University, Moscow, Russia
Vitaly Bergelson
Ohio State University, Columbus, USA
Rafael de la Llave
The University of Texas at Austin, Austin, USA
Dmitry Dolgopyat
University of Maryland College Park, College Park, USA
Robert Ghrist
University of Illinois at Urbana-Champaign, Urbana, USA
Vadim Kaloshin
California Institute of Technology, Pasadena, USA
Bryna Kra
Northwestern University, Evanston, USA
Patrice le Calvez
Université Paris XIII, Villetaneuse, France
Elon Lindenstrauss
Princeton University, Princeton, USA
Michael Shub
University of Toronto, Toronto, Canada
Anton Zorich
Université de Rennes, Rennes, France
11. Partial Differential Equati*****
Solvability, regularity and stability of linear and non-linear equati***** and s ystems. Qualitative properties (singularities, symmetry, asymptotics, long tim
e behaviour). Spectral theory, scattering, inverse problems. Variational metho
ds and calculus of variati*****. Homogenization and multiscale problems. Relatio ns to continuous media and control.
INVITED SPEAKERS
Stefano Bianchini
SISSA-ISAS, Trieste, Italy
and
Istituto per le Applicazioni del Calcolo "M.Picone", Roma, Italy
Patrick Gérard
Université de Paris-Sud, Orsay, France
Fran?ois Golse
Université Pierre et Marie Curie, Paris, France
Matthew Gursky
University of Notre Dame, Notre Dame, USA
Hitoshi Ishii
Waseda University, Tokyo, Japan
Mario Pulvirenti
Università di Roma-La Sapienza, Roma, Italy
Ovidiu Savin
University of California, Berkeley, USA
Sylvia Serfaty
Courant Institute of Mathematical Sciences, New York University, New York, USA
Neil Trudinger
Australian National University, Camberra, Australia
Juan J.L. Velázquez
Universidad Complutense de Madrid, Madrid, Spain
Luis Vega
Euskal Herriko Unibertsitatea, Bilbao, Spain
12. Mathematical Physics
Quantum mechanics. Quantum field theory. General relativity. Statistical mecha nics and random media. Integrable systems. Electromagnetism. String
theory, condensed matter.
INVITED SPEAKERS
Alberto S. Cattaneo
Universit?t Zürich, Zürich, Switzerland
Bernard Derrida
école Normale Supérieure, Paris, France
Gian Michele Graf
ETH Zürich, Zürich, Switzerland
Jean-Michel Maillet
école Normale Supérieure de Lyon, Lyon, France
Marcos Marino
CERN, Genève, Switzerland
Igor Rodnianski
Princeton University, Princeton, USA
Hubert Saleur
Centre d' études Nucléaires de Saclay, Gif-sur-Yvette, France
Christoph Schweigert
Universit?t Hamburg, Hamburg, Germany
Avraham Soffer
Rutgers University, New Brunswick, USA
Cédric Villani
école Normale Supérieure de Lyon, Lyon, France
Paul Wiegmann
The University of Chicago, Chicago, USA
13. Probability and Statistics
Classical probability theory, limit theorems and large deviati*****. Combinatori al probability and stochastic geometry. Stochastic analysis. Random fields and multicomponent systems. Statistical inference, sequential methods a
nd spatial statistics. Applicati*****.
INVITED SPEAKERS
Anton Bovier
Weierstrass Institute for Applied Analysis and Stochastics, Berlin, Germany
Raphael Cerf
Université Paris-Sud, Orsay, France
Amir Dembo
Stanford University, Stanford, USA
Peter Donnelly
University of Oxford, Oxford, United Kingdom
David Elworthy
University of Warwick, Coventry, United Kingdom
Jianqing Fan
Princeton University, Princeton, USA
Alice Guionnet
école Normale Supérieure de Lyon, Lyon, France
Steven Lalley
University of Chicago, Chicago, USA
Yves Le Jan
Université Paris-Sud, Orsay, France
Peter McCullagh
University of Chicago, Chicago, USA
Andrei Okounkov
Princeton University, Princeton, USA
Dominique Picard
Université Paris 7, Paris, France
Wendelin Werner
Université Paris-Sud, Orsay, France
14. Combinatorics
Combinatorial structures. Enumeration: exact and asymptotic. Graph theory. Pro babilistic and extremal combinatorics. Designs and finite geometries. Relation
s with linear algebra, representation theory and commutative algebra. Topologi cal and analytical techniques in Combinatorics. Combinatorial geometry. Combin atorial number theory. Matroids. Polyhedral combinatorics and c
ombinatorial optimization.
INVITED SPEAKERS
Alexander Barvinok
University of Michigan, Ann Arbor, USA
Mireille Bousquet-Mélou
Université Bordeaux 1, Bordeaux, France
Bert Gerards
Centrum voor Wiskunde en Informatica, Amsterdam, The Netherlands
Mark Haiman
University of California, Berkeley, USA
Jeong Han Kim
Microsoft Corporation, Redmond, USA
Tomasz Luczak
Adam Mickiewicz University, Poznán, Poland
Imre Ruzsa
Hungarian Academy of Sciences, Budapest, Hungary
Francisco Santos
Universidad de Cantabria, Santander, Spain
Robin Thomas
Georgia Institute of Technology, Atlanta, USA
15. Mathematical Aspects of Computer Science
Complexity theory and efficient algorithms. Randomized, distributed, online an d approximation algorithms. Formal languages, computational learning and mathe matical machines. Cryptography. Semantics and verification of programs. Symbolic computation. Quantum computing. Computational geometry
, bioinformatics, computer vision.
INVITED SPEAKERS
Manindra Agarwal
Indian Institute of Technology Kanpur, Kanpur, India
Jon M. Kleinberg
Cornell University, Ithaca, USA
Omer Reingold
Weizmann Institute of Science, Rehovot, Israel
Tim Roughgarden
Stanford University, Stanford, USA
Ronitt Rubinfeld
Massachusetts Institute of Technology, Cambridge, USA
Alexander Semenovich Holevo
Steklov Mathematical Institute, Moscow, Russia
Luca Trevisan
University of California, Berkeley, USA
16. Numerical Analysis and Scientific Computing
Design of numerical algorithms and analysis of their accuracy, stability, and complexity. Numerical solution of algebraic, differential, and integral equati *****. Approximation theory. Mathematical aspects of scienti
fic computation.
INVITED SPEAKERS
Zhiming Chen
Chinese Academy of Sciences, Beijing, China
Ricardo Durán
Universidad de Buenos Aires, Buenos Aires, Argentina
Nira Dyn
Tel Aviv University, Tel Aviv, Israel
Max Gunzburger
Florida State University, Tallahassee, USA
Randall J. LeVeque
University of Washington, Seattle, USA
Yvon Maday
Université Pierre et Marie Curie, Paris, France
Endre Suli
University of Oxford, Oxford, United Kingdom
17. Control Theory and Optimization
Minimization problems. Controllability, observability, stability. Robotics. St ochastic systems and control. Optimal control. Optimal design. Linea
r, non-linear and integer programming. Applicati*****.
INVITED SPEAKERS
Vivek Borkar
Tata Institute of Fundamental Research, Mumbai, India
Stephen Boyd
Stanford University, Stanford, USA
Oleg Yu. Emanouvilov
Iowa State University, Ames, USA
Martin Groetschel
Konrad-Zuse-Zentrum für Informati*****technik Berlin, Berlin, Germany
Olof Staffans
?bo Akademi University, ?bo, Finland
Aryan van der Schaft
University of Twente, Enschede, The Netherlands
Enrique Zuazua
Universidad Autónoma de Madrid, Madrid, Spain
18. Applicati***** of Mathematics in the Sciences
Mathematics applied to the physical sciences, life sciences, social sciences, and technology. Mathematics in interdisciplinary research. The interplay of ma thematical modeling and mathematical analysis and its impact on the under standing of scientific phenomena.
INVITED SPEAKERS
Russ Caflisch
University of California, Los Angeles, USA
Emmanuel Candes
California Institute of Technology, Pasadena, USA
Vicent Caselles
Universitat Pompeu Fabra, Barcelona, Spain
Michael Griebel
Institut für Numerische Simulation, Bonn, Germany
Claude Le Bris
école Nationale des Ponts et Chaussées, Marne la V allée, France
David Levermore
University of Maryland, College Park, USA
Martin A. Nowak
Harvard University, Cambridge, USA
David Nualart
Universitat de Barcelona, Barcelona, Spain
and
The University of Kansas, Lawrence, USA
Anders Szepessy
Royal Institute of Technology, Stockholm, Sweden
19. Mathematics Education and Popularization of Mathematics
All aspects of mathematics education, from elementary school to higher ed ucation. Mathematical literacy and popularization of mathematics.
PANEL A: Controversial questi***** in K-12 education: a debate
Moderator: Michèle Artigue
Université Paris 7, Paris, France
Panelists : Ehud de Shalit
The Hebrew University of Jerusalem, Jerusalem, Israel
Anthony Ralston
SUNY, Buffalo, USA
PANEL B: What are PISA and TIMSS? What do they tell us?
Moderator: Pengyee Lee
National Institute of Education of Singapore, Singapore, Panelists: Jan de Lange
Freudenthal Institute, University of Utrecht, Utrecht, The
Netherlands
William Schmidt
Michigan State University, East Lansing, USA
PANEL C: The role of mathematicians in K-12 mathematics education
Moderator: Father Ben Nebres
Ateneo de Manila University, Quezon City, Philippines
Panelists : Shiu-Yuen Cheng
Hong Kong University of Science and Tecnology, Hong Kong, China Konrad Osterwalder
ETH Zürich, Zürich, Switzerland
Hung-Hsi Wu