t*******r
发帖数: 22634 | 1 【 以下文字转载自 Mathematics 讨论区 】
发信人: inflation (zigzag), 信区: Mathematics
标 题: 陶哲轩又中大奖了
发信站: BBS 未名空间站 (Tue Jun 24 01:16:49 2014, 美东)
首届数学突破奖，5人，每人300万美元
https://breakthroughprize.org/?controller=Page&action=news&news_id=18
Simon Donaldson, Stony Brook University and Imperial College London, for the
new revolutionary invariants of 4-dimensional manifolds and for the study
of the relation between stability in algebraic geometry and in global
differential geometry, both for bundles and for Fano variet... 阅读全帖 |
|
t******l
发帖数: 10908 | 2 画线段解是标准的把那种 algebra time/clock problem 转换成 geometry
measurement problem 的解法，其背后的依据是 geometry measurement 和 time
measurement 都遵守 "congruent figure has same area/length" 以及
axiom of union 那两条 axiom。
但这个 mapping 的 formal operation 超过小学四年级要求。。。实际上小学四年级
还不能把 AMC 10 的 geometry word problem 把 word 画成图 (其背后是把 rule /
operation 给 decoding 成 objects)，更不可能把 time problem 给 decoding 成
geometry problem 了。。。如果有这个 formal operation 能力的话，那用
kinematics 解球
面上 "每一圈升高一米" 就不会是个问题，因为那个是把 geometric measurement
problem ... 阅读全帖 |
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t******l
发帖数: 10908 | 3 其实小学四年级 decode 了也不一定解得出 geometry puzzle problem，因为要发现
solution path。。。而这种 solution path 的背后是 order of operation in
geometry 那些 axiom/perceptual 。
另一方面，我觉得 Piaget 老先生的不要过分拔苗助长的观点是对的。。。因为如果
formal operation 不能掌握，但娃又要为了吃饭一定要出货的话，容易过早形成
schema 而过早固化在 concrete operation。。。个人看法。
：画线段解是标准的把那种 algebra time/clock problem 转换成 geometry
：measurement problem 的解法，其背后的依据是 geometry measurement 和 time |
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t******l
发帖数: 10908 | 4 从另一方面说，画线段的解法，在学完 algebra 1, 2 和 analytic geometry 就不是
个问题。。。说白了就是 baby analytic geometry 解 algebra 题。。。
但话说回来，analytic geometry 的基本概念，对娃而言，真是个坎。。。equation
of straight line 的基本概念搞了很久。。。
：其实小学四年级 decode 了也不一定解得出 geometry puzzle problem，因为要发现
：solution path。。。而这种 solution path 的背后是 order of operation in |
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发帖数: 1 | 5 Tarski proved that Euclidean geometry is consistent, complete, and decidable
.
See his article "What is Elementary Geometry?" The Axiomatic Method, with S
pecial Reference to Geometry and Physics (1959): 16-29, at Page on Corelab
https://www.quora.com/Is-Euclidean-geometry-inconsistent
东西
德尔 |
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b****n
发帖数: 84 | 6 帮人贴的招生广告
Geometric Imaging Program in the Mathematical Sciences Center of
Tsinghua University.
The Mathematical Science Center (MSC) of Tsinghua
Universityhttp://msc.tsinghua.edu.cn
is founded in December 2009. Its augural director is Professor
Shing-Tung Yau
http://en.wikipedia.org/wiki/Shing-Tung_Yau.
Geometric imaging is one of the major fields that the Center is
dedicated to develop.
Geometric imaging is to develop the theory in discrete geometry,
combinatorial geometry
and computational... 阅读全帖 |
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l*****g
发帖数: 49 | 7
Two more books in CG:
1. "Algorithms in Combinatorial Geometry" by H. Edelsbrunner;
This is an old and outdated book, but it still has something that you
cannot find in the two books you mentioned.
BTW: don't buy it, it is not worth that. just read it in library;
2. "Lectures on Discrete Geometry" by Jiri Matousek;
This is not in computational geometry but in combinatorial geometry, but
if you are interested in CG you might be interested in this book too.
It is relatively new |
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r*****3
发帖数: 143 | 8 中文名: PostGIS 实战
原名: PostGIS in Action
作者: Regina O. Obe
Leo S. Hsu
图书分类: 软件
资源格式: PDF
版本: 英文文字版/更新源代码
出版社: Manning
书号: 9781935182269
发行时间: 2011年
地区: 美国
语言: 英文
简介:
内容介绍：
PostGIS is an open source spatial database extender for PostgreSQL. It
equals or surpasses proprietary alternatives, allowing you to create
location-aware queries with just a few lines of SQL code, and provides a
back-end for mapping applications with minimal effort.
PostGIS in Action teaches readers of all levels to write spatia... 阅读全帖 |
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D******y
发帖数: 32 | 9 我用latex来画图。给这张图的label假如是\label{geometry}，这张图的标号在图的下方
显现出的号是2.5（表明是第二章的第5个图）。但是当我在文中引用这张图时\ref{
geometry},给出的标号却是2.2.4.这个2.2.4的标号是我在第二章第二节第4小节的文中引
用这张图的标号。这是怎么回事呀？
by the way, 我是用miktex,推荐使用。它的font很让人满意。
【TeXnician】
If you had put \label{geometry} before \caption{...}, try putting \label{...}
after \caption{...}. When \label{...} appears before \caption{...}, it cannot
see the correct counter increment executed by the internal macros of
\caption{...}.
【Dirtysky】
我是把\label{geometry}放在\caption{... |
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j***y
发帖数: 2074 | 10 haha, let me reply myself:
in the file ".openwin-init", write as follows:
exec xterm -geometry 80x24+15+5 &
exec xterm -geometry 80x24+515+5 &
exec xterm -geometry 80x24+15+365 &
exec xterm -geometry 80x24+515+365 &
thank microbe for his hints.
：
多 |
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l*****g
发帖数: 49 | 11
For computational geometry:
1. De Berg, van Kreveld, Overmars and Schwarzkopf,
"Computational Geometry, Algorithms and Applications" (1997);
second edition (2000)
(the most recent textbook)
2. Preparata and Shamos,
Computational Geometry, An Introduction (1985)
(the first textbook on the subject, somewhat outdated)
3. Edelsbrunner,
Algorithms in Combinatorial Geometry (1987)
(another old and slightly more advanced textbook) |
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b*****t
发帖数: 1700 | 12 Coding Theory: Abstract Algebra是基础
Communications/Signal Processing: 离开Matrix Analysis是不行的。。
Coding Theory: Algebraic Geometry
Communications: Stochastic Geometry
Information Theory: Information Geometry
CV/PR/IP/CG等领域用到的Geometry也很多，当然这些算是和CS的交叉领域
Stochastics不说了，Communications/Signal Processing就是建立在这个基础之上的
按前苏联Kolmogorov的看法，Information Theory直接就是Probability Theory的一个
分支，和Ergodic Theory也关系紧密，Entropy是Ergodic Theory中的一个基本量
你说说CS的吧，呵呵 |
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S***p
发帖数: 19902 | 13 一些建议
首先要从基础开始，数学都是从基础概念逐步建立起来的，
不可能上来就学functional analysis, Remainnien geometry, alegraic geometry 的
如果线性代数微积分还可以的话
我建议
第一阶段
先看 Rudin的数学分析，这是分析方面的
同时看一下 Dummite $ Foote 的 abstract algebra 这是代数方面的，试着做些练习题
看了这两本书后，大致算是入门了，应该对数学思维有感觉了
第二阶段
可以看 Foland 的 real analysis，
Gamelin 的 complex analysis
Munkres 的 topology， 只看点集合拓扑部分就可以
这是分析方面
代数方面，可以继续 Dummite $ Foote 的 abstract algebra
第三阶段
分析方面：Conway 的functional analysis
几何反面：随便找个讲manifold的就可以，我学这个是从广义
相对论里学的，
还有Remainnien geometry
Gallot, S.... 阅读全帖 |
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G********n
发帖数: 615 | 14 http://www.ams.org/news?news_id=1166
这俩人一个20岁拿到博士一个23岁拿到博士
Christodoulou and Hamilton Receive 2011 Shaw Prize
Demetrios Christodoulou of the ETH-Zurich and Richard Hamilton of Columbia
University have jointly been awarded the Shaw Prize of US$1 million "for
their highly innovative works on nonlinear partial differential equations in
Lorentzian and Riemannian geometry and their applications to general
relativity and topology." The work of the two prizewinners exemplifies the
power of geometric me... 阅读全帖 |
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x********i
发帖数: 905 | 15 Section 1: Logic and Foundations
1. Zoé Chatzidakis, Université Paris Diderot-Paris 7, France
2. Ilijas Farah, York University, Canada
3. Byunghan Kim, Yonsei University, Korea
4. François Loeser, Université Pierre et Marie Curie-Paris 6, France
* Joint Speaker with Section 4. Algebraic and Complex Geometry
5. Antonio Montalbán, University of California, Berkeley, USA
6. Slawomir Solecki, University of Illinois at Urbana-Champaign, USA
Section 2: Algebra
1. Nicolás Andruskiewitsch, Univer... 阅读全帖 |
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i*******n
发帖数: 166 | 16 首届数学突破奖，5人，每人300万美元
https://breakthroughprize.org/?controller=Page&action=news&news_id=18
Simon Donaldson, Stony Brook University and Imperial College London, for the
new revolutionary invariants of 4-dimensional manifolds and for the study
of the relation between stability in algebraic geometry and in global
differential geometry, both for bundles and for Fano varieties.
Maxim Kontsevich, Institut des Hautes Études Scientifiques, for work
making a deep impact in a vast variety of mathemati... 阅读全帖 |
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t********w
发帖数: 347 | 17 The Breakthrough Prize in Mathematics is an award announced in 2013, and
funded by Yuri Milner and Mark Zuckerberg.
The first awards of the Prize, worth $3 million to each recipient, were made
in 2014:
Simon Donaldson – "For the new revolutionary invariants of 4-dimensional
manifolds and for the study of the relation between stability in algebraic
geometry and in global differential geometry, both for bundles and for Fano
varieties.
Maxim Kontsevich – "For work making a deep impact in a vast var... 阅读全帖 |
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x********i
发帖数: 905 | 18 http://www.caltech.edu/news/prime-numbers-quantum-fields-and-do
Prime Numbers, Quantum Fields, and Donuts: An Interview with Xinwen Zhu
In 1994, British mathematician Andrew Wiles successfully developed a proof
for Fermat's last theorem—a proof that was once partially scribbled in a
book margin by 17th-century mathematician Pierre de Fermat but subsequently
eluded even the best minds for more than 300 years. Wiles's hard-won success
came after digging into a vast web of mathematical conjectures ... 阅读全帖 |
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x********i
发帖数: 905 | 19 The Shaw Prize in Mathematical Sciences 2015 is awarded to Gerd Faltings,
Managing Director at Max Planck Institute for Mathematics in Bonn, Germany,
and Henryk Iwaniec, New Jersey Professor of Mathematics at Rutgers
University, USA, for their introduction and development of fundamental tools
in number theory, allowing them as well as others to resolve some
longstanding classical problems.
Number theory concerns whole numbers, prime numbers, and polynomial
equations involving them. The central p... 阅读全帖 |
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x********i
发帖数: 905 | 20 2016 Breakthrough Prize in Mathematics
The Breakthrough Prize in Mathematics honors the world’s best
mathematicians who have contributed to major advances in the field.
Ian Agol, University of California at Berkeley and Institute for Advanced
Study: for spectacular contributions to low dimensional topology and
geometric group theory, including work on the solutions of the tameness,
virtual Haken and virtual fibering conjectures.
2016 New Horizons in Mathematics Prize
The New Horizons in Mathemat... 阅读全帖 |
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s*****r
发帖数: 34 | 21 Yue Yu have been awarded Clay Research Fellowships
Simion Filip and Tony Yue Yu have been awarded Clay Research Fellowships.
Simion and Tony were selected for their research achievements and their
potential to become leaders in research mathematics. Each has been
appointed for a term of five years.
Tony Yue Yu received his PhD in 2016 from Université Paris Diderot under
the supervision of Maxim Kontsevich and Antoine Chambert-Loir. He works on
non-archimedean geometry, tropical geometry and mi... 阅读全帖 |
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x********i
发帖数: 905 | 22 http://iccm.mcm.ac.cn/dct/page/1
Plenary Lectures
Group 1
Wei Zhang: RTF and L-functions
Kai-Wen Lan: Cohomology of automorphic bundles
Xinyi Yuan: On Faltings heights of CM abelian varieties
Jing Yu: On Linear Independence of Logarithms
Xuhua He: Cocenter of Hecke algebras
Jiu-Kang Yu: A GAGA theorem for p-adic groups
Jianya Liu: Manin's conjecture for a class of singular cubic
hypersurfaces
Lei Fu: Rigidity of $ell$-adic Sheaves
Si Li: Open-closed topologica... 阅读全帖 |
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x********i
发帖数: 905 | 23 http://iccm.mcm.ac.cn/dct/page/1
Invited Lectures
Group 1
Fan Qin: Cluster algebras and monoidal categorification
Fang Li: Positivity of acyclic sign-skew-symmetric cluster algebras via
unfolding method and some related topics
Cheng-Chiang Tsai: An attempt for affine Springer theory
Li Cai: The Gross-Zagier formula: arithmetic applications
Ming-Hsuan Kang: Geometric zeta functions on reductive groups over non-
archimedean local fields
Huanchen Bao: Canonical bases arising... 阅读全帖 |
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m********e
发帖数: 1156 | 24 我还算有知的，无论深度还是广度，奈何世界上的知识太多。
有人贴出老爱的几百篇论文，我一看大多数是德文，不知道，无法判断。
您瞅一眼，看看有多少是真正的科研论文？
1913 Einige Argumente für die Annahme einer molekular Agitation beim
absoluten Nullpunkt Annalen der Physik(ser. 4), 40, 551–560, link
Some Arguments for the Assumption of Molecular Agitation at Absolute
Zero
1913 Déduction thermodynamique de la loi de l'équivalence
photochimique Journal de physique (ser. 5), 3, 277–282
Thermodynamic Deduction of the Law of Photoche... 阅读全帖 |
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h*l
发帖数: 19 | 25 It's more like a "advanced geometry" problem. It
may be cumbersome (though maybe clever) to solve it
by pure Euclid method. Two brochures can be used to
look up. One is
Chen Long's "Techniques in Analytical Geometry"
(MO traning series, arround 1989-1990),
another is
Feng KeQing's "Introduction to Projection Geometry"
, (High school students library series, late 80's)
They both lead to beautiful advanced geometry
theorems like Desargue (?), Pascal , duel, finite
group... which maybe on |
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l***y
发帖数: 1166 | 26 不是。弦论具体也许是有问题的，但是十一维（或者十维）是毫无疑问的。
这是外星人说的。
The Earth OEMII thinks of Space as a " scalar continuum " in all directions.
From this image of space, you worked out (initiated by Euclid) a whole
geometry based on abstractions such as the point, the line, and the plane.
You finished by accepting that POINT, LINE and PLANE really represent the
true components of the WAAM, although using a mental abstraction.
This original vice, not yet corrected, is costing you a considerable delay
in the comprehensio... 阅读全帖 |
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a*******a
发帖数: 1240 | 27 Before embarking on a metaphysical critique of the famed "theory of general
relativity" (GR) amidst the fanfare of the recent observation by LIGO of
gravitational wave, an explorative discussion of mathematics is both helpful
and necessary.
In any theoretical investigations, mathematics plays a pivotal role. The
natural question arising herein is then, what is mathematics? And what kind
of roles can we possibly expect of mathematics in any theoretical enquiries
(i.e., by deductions) or in a prac... 阅读全帖 |
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发帖数: 1 | 28 2020 Breakthrough Prize in Fundamental Physics
The Event Horizon Telescope Collaboration
Collaboration Director Shep Doeleman of the Harvard-Smithsonian Center for
Astrophysics will accept on behalf the collaboration. The $3 million prize
will be shared equally with 347 scientists co-authoring any of the six
papers published by the EHT on April 10, 2019.
Citation: For the first image of a supermassive black hole, taken by means
of an Earth-sized alliance of telescopes.
2020 Breakthrough Prize in... 阅读全帖 |
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f******D
发帖数: 332 | 30 北加州 Windsor 公司支持h1b 绿卡 new grad， entry level welcome
1. Mechanical Engineer Machine Design and Automation
JOB SITE: WINDSOR, California
Job Summary
Responsible for Automation and Machine design.
Tasks may include but are not limited to:
Design precision mechanisms and structures for accuracy, performance, and
manufacturability
Design with integration of cameras, lighting, and 3D sensors for measurement
Design robotics and machines for automation and integration
Design custom automation solutions... 阅读全帖 |
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f******D
发帖数: 332 | 31 北加州 Windsor 公司支持h1b 绿卡 new grad， entry level welcome
1. Mechanical Engineer Machine Design and Automation
JOB SITE: WINDSOR, California
Job Summary
Responsible for Automation and Machine design.
Tasks may include but are not limited to:
Design precision mechanisms and structures for accuracy, performance, and
manufacturability
Design with integration of cameras, lighting, and 3D sensors for measurement
Design robotics and machines for automation and integration
Design custom automation solutions... 阅读全帖 |
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t******l
发帖数: 10908 | 32 回到前浪推荐的这本书本身。。。撇去该书里面艰深的内容，我摘抄一段该书的理念：
（声明一下不是说我要推荐读这本书，其实我也就是看看就完事了，并不死扣某一本
书。我只是说说不同的书的看法。）
P.258
8.2 Survival Geometry I
When you attempt Problems 8.1.1 - 8.1.3, you may wonder just what you may
assume and what you must prove. As you know, Euclidean geometry is based on
a very small set of undefined objects (including "points" and "lines") and
postulates or axioms (theorems that are assumed to be true, that lie "above"
proof) . In the interest of time, we will play fast and loose with this,
a... 阅读全帖 |
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t******l
发帖数: 10908 | 33 另一方面，我觉得 “美式构建式数学教育”，在 代数/前代数/Formal-Operation 阶
段最大的问题，两个：
其一：是在 Formal Operation 阶段，没有考虑 Formal Operation 阶段的特点，照抄
小学阶段 Concrete Operation 的 spiral 教学法。这带来 (a) 教学进度太慢，教授
的基础知识太少，花太多时间在不必要的 spiral 上，(b) 在 Formal Operation 的
spiral 的循序渐进层面，也有问题。
这个原因是 Formal Operation 是有明显的阶段性和结构性的，而 spiral 的时候很难
越过阶段性和结构性的边界。举个例子就是：
Algebra 1 和 "linear" geometry / "linear" analytic geometry，比如 solve
linear equation, solve system equations, complete a square, solve quadratic
equation, equation of line, slope of ... 阅读全帖 |
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发帖数: 1 | 34 橡树岭国家实验室散裂中子源诚招有物理和计算背景的博后。
课题为运用高性能计算增强非弹性散射中子谱仪的分辨率。年薪约$65k。
https://recruiting.ornl.gov/sap/bc/webdynpro/sap/zornl_hrrcf_c_post_doc?sap-
language=EN&sap-client=010#
Job Posting Title
Postdoctoral Research Associate in Super-Resolution Inelastic Neutron
Scattering
Purpose
The Neutron Sciences Directorate (NScD) at Oak Ridge National Laboratory (
ORNL) operates the High Flux Isotope Reactor (HFIR), the United States'
highest flux reactor based neutron source, and the Spallation Neutron Source
(... 阅读全帖 |
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l*******e
发帖数: 309 | 35 我买的就是comfort geometry,现在后悔了。club里骑的快的都是race geometry，还说
我的车timid。
comfort geometry照样骑得腰酸背疼，不过现在已经习惯了。 |
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Z*****l
发帖数: 14069 | 36 感恩节前的优惠价只给gold会员。刚才买了halo master chief collection $30, 不过
没想到xbox live买游戏居然还收税，人psn就不收。
另外这个list好像不太全，我自己还发现有Forza & Gears Twin Pack - 64.99这样的
deal，所以自己想要的游戏即使不在上面也可以去搜搜看。
slickdeals的网页有链接，点起来方便。
http://slickdeals.net/f/8276613-xbox-live-black-friday-sale-lis
Xbox One:
DLC:
Evolve Hunting Season 1 [xbox.com] - 7.50 (Save 50%)
Forza Horizon 2 Car Pass [xbox.com] - 12.50 (Save 50%)
Killer Instinct: Season 2 Combo Breaker [xbox.com] - 10.00 (Save 50%)
Middle-Earth: Shadow Of Mordor - Season Pass [... 阅读全帖 |
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p******s
发帖数: 938 | 37 Sting给杀手里昂配的片尾曲，词曲精彩深刻不说，那原声吉它的演
奏实在是精彩之极。在网上找到几个版本大家看看：
Shape Of My Heart - transcribed by Luis Ferreira
This is NOT the way Dominic Miller plays it. I've got Sting's concert in Oslo
(1994) in videocassette and it is definitely harder than this. Dominic Miller
uses an electric-shaped acoustic guitar, which makes it easier to play in the
high frets as he does. The names of the chords might not be correct, too.
( If you want to play with the record, then use a capo on the 2nd fret )
Intro:
... 阅读全帖 |
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t******l
发帖数: 10908 | 38 上面是基于 transformation geometry 思想的证明。
我们当年的小学数学思想，受欧几里德的毒害太深，transformation geometry 的思想
不够。
当然，美帝这边把 transformation geometry 的思想乱教，可能还不如不教。平均水
平的师资问题。 |
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s*******u
发帖数: 1855 | 39 Below are my understandings. Some come from all the inductive school
(Russel, etc), some could be totally wrong.
There are two approaches to know the world: induction and deduction.
Logic is above all. It is neither induction nor deduction. Logic (like
syllogism) gives the rules/laws to do deduction. There are surely
classifications of logic, like proposition logic, predicate logic, etc. But
in general, Logic does not KNOW the world directly, but gives us tools to
know the world.
Math = Axioms +... 阅读全帖 |
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a****a
发帖数: 5763 | 40 http://bbs.weiphone.com/read-htm-tid-527192.html
OpenCL
截至到现在，我们在《Snow Leopard：宝刀已铸成 关二爷请砍人(连载8/23)》
中探讨了程序开发者们究竟该如何充分利用现有的硬件资源来进一步提升计算机整体性
能，在《Snow Leopard充满活力的心脏——LLVM和Clang(连载9/23)》中了解了更为新
颖与现代的编译构建，在《持续完善，构建编程友好型环境(连载10/23)》中谈到了
Snow Leopard中新添加的编程语言扩展功能，并且在《Grand Central Dispatch：迎接
挑战(连载12/23)》中认识了基于这些新编译器的更强大更务实的并行API。所有这些都
意在帮助开发者和操作系统本身最大限度地利用已有硬件资源。
然而CPU却不是唯一镶满晶体管的元件。当涉及独立计算引擎时，每一台Mac中
都有另一块硅片无疑是更为显要的，那就是GPU。
引用
图形处理单元(graphics processing unit,GPU)：是一种专门进行图形处理的
处理... 阅读全帖 |
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y*****d
发帖数: 415 | 41 菜鸟问一个C++的问题
请看code:
PreporBox p; //preporcessor for box-shaped domains
p.geometryBox().scan(geometry) //initialize the geometry
我的问题是，那个p是个PreporBox class 的object,对吧？p.geometryBox()这个
funcition怎么后面还可以跟一个funciton scan(geometry)呢？这种格式用到的是C++
哪部分知识啊？
多谢各位赐教！ |
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g****t
发帖数: 31659 | 42 My point:
At the beginning Albert Einstein wanted to develop a software.
That software will output the Gravity based on some input.
However, he found that he cannot even input the data and do some calculation
based on these data.
There is no good library and open source package for his purpose.
Looks like the Riemann geometry is the most relevant package.
But Einstein does not know if there is some unknown KENG.
So he asked help from Hilbert and several others. The information leaked out
quickly... 阅读全帖 |
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N*******1
发帖数: 44 | 43 Please contact Katrine Winer , if you would like to
apply for this position.
We need a Civil Engineer Project Manager with Federal, State, and Local
project experience.
Recruiter notes - Search For: Civil Engineering, design, layout, geometry,
grading, stormwater
management, sediment and erosion control, utilities (water, sewer, storm
drains).
Position Title Project Manager - Civil Engineer - MD #1819
Salary Range Based On Qualifications (at least $40... 阅读全帖 |
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m****n
发帖数: 142 | 44
老大，不要来这些虚的，还是没有回答问题嘛，俺再问一遍－－－到底derived
algebraic geometry 是已经解决了一些长久以来用别的方法都解决不了的问题呢？如
果是，请列举是什么问题。
还是目前只是期待它解决。
当年老毛子VLADIMIR VOEVODSKY 的东西也极度抽象，但是解决了 Milnor conjecture,
现在derived algebraic geometry 解决了这种级别的问题没有？这个才是要问的问题。
不要把参考资料告诉我们，就你来回答，回答得具体一点：derived algebraic
geometry 解决了什么别的方法解决不了的问题？ |
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h******d
发帖数: 81 | 45 I thought there are two Gromov Witten invariants in symplectic geometry and
in algebraic geometry. However, some people say"counts holomorphic map from
riemann surface to smooth algebraic variety over C". I think if you refer to
smooth algebraic variety over C, you should mean in algebraic geometry, but
then it should be "count the MORPHISM rather than HOLOMORPHIC MAP", because
morphism is polynomial map.Is it righ?
MAPs
of |
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l****7
发帖数: 62 | 46 如果我修ＭＡＴＨMASTER 的课， 我需要写电脑程序吗？我打算修下列课：
MA523. Probability and Statistics I, II
MA540. Projective Geometry
MA544. Numerical Analysis.
MA545. Linear Algebra and Matrices.
MA546. Advanced Calculus I,II
MA550. Differential Equations II
MA560. Research Methods of Mathematics.
MA580. Experimental Design and Analysis of Variance
MA623. Statistical Analysis for Forensic Science
MA630. Basic Concepts of Modern Mathematics
MA632. Foundations of Geometry
MA633. Differential Geometry
MA643. Number Theory
MA6 |
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l********e
发帖数: 3632 | 47 Rienanian geometry contains the so called noneuclidean geometry.
Minkovski and Finsler geometry are different types though. |
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s*****V
发帖数: 21731 | 48 http://site.douban.com/130104/widget/notes/5389697/note/1820952
2011-11-03 23:35:00
我想谈谈过去五十年和我预测未来一百年的代数几何,我将一次次分开讨论,如果有兴趣
请支持:
1940-1965
代数几何在1900年以前,已经有了代数曲面的部分理论和代数曲线上的Riemann-Roch定
理,但是语言和概念处于一个混乱的状态.在1950到1965年间出现了三个巨大的革命.奠
定了代数几何的秩序描述了重要的问题,提供了未来发展的方向.她们是Hodge(加一堆人
)开创复几何, Kodaira的三大工作和Grothendieck的抽象语言及新定义(问题):
让我先讲第一项工作.
Hodge+Lefschetz+Kaehler考虑了复流形的定义和一般的性质,Kaehler引入了Kaehler度
量,Hodge利用了分析中着名的Elliptic regularity对Kaehler流形的上同调群作了至今
仍然神秘的Hodge分解,并且提出着名的Hodge猜想,Lefschetz证明了Hodge猜想的非常特
殊情形... 阅读全帖 |
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x********i
发帖数: 905 | 49 Sun-Yung Alice Chang and Paul Chien-Ping Yang, Non-linear Partial
Differential Equations in Conformal Geometry.
Yum-Tong Siu, Some Recent Transcendental Techniques in Algebraic and Complex
Geometry.
Gang Tian, Geometry and Nonlinear Analysis. |
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x********i
发帖数: 905 | 50 http://w3.math.sinica.edu.tw/math_media/d274/27402.pdf
有朋自远方来一一专访 Gerd Faltings教授
策划 :于靖、刘太平
校正 :李林楠
访谈 :陈燕美、王姿月
时间 :民国九十年十二月十八日
整理 :余屹正
地点 :圆山大饭店
Faltings教授於1978年,时年 24岁时取得德国慕尼黑大学的博士学位。之后在美国哈佛
大学从事一年的博士后研究。1979获聘为UniversityofWuppertal教授,1985年任教美国
Princeton大学 , 1986年获颁数学年轻学者的最高荣誉–Fields奖。受访时为德国
Max Planck数学所所长。
王姿月(以下简称“王”):您何时开始对数学产生兴趣的?
Faltings(以下简称“F”):大概是在10至12岁的时候。我首先是对物理感兴趣,但是后
来觉得数学比物理有趣,於是乎就开始念数学了。
王:当你10岁时,哪一类的物理问题让您特別感兴趣的呢？
F:喔!我真的已经不记得了。大概是重力之类的问题。
陈燕美 (以下简称“陈”):是否有什么特殊的原因或是特別的人物引导你进... 阅读全帖 |
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