R******e
发帖数: 623 | 1 Jacobian Conjecture就像是九阴真经一样，一堆假证明，外加江湖恩怨。现在到底解
决到啥样了？wiki说，次数为2的已经让一王姓还是汪姓数学家解决，其他高于2次的，
都可以归约到3次的情况，另外那个孔采维奇还证明了跟另外一个猜想等价。
看了看，觉得也是一个很中心的猜想。想知道有无重大的结果或者那些结果以Jacobian
Conjecture为前提的？
巧了，刚才看到Prof.Tao提到一文献 ohio.edu/people/lopez/center/formanek1.pdf
最后引的是张益唐证明的一条定理，说是极大地改进了一个bound。 |
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b******y
发帖数: 139 | 2 Thanks for pointing out the misktake, I found one error in my proof.
You misunderstood one thing in my previous mail, that is the assumption you
mentioned. If such an assumption is made, I wouldn't call it a proof, it
just uses one conjecture to prove another conjecture.
I changed a little in my previous proof and include more details here, |
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m****n
发帖数: 45 | 3 Some guy named "QingHui Chen" from Madison, WI claimed
he solved the Goldbach conjecture.
And he just gave a talk in the International Conference in
Approximation theory this month.
Although I didn't go to his talk, I received his paper.
It is 31 pages long. |
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m***c
发帖数: 1177 | 4 一个不能完全算民科的人发的，有数学的PHD，不过不是数论方向的。
Have you come across any of the following conjectures?
P1 primes of the kind 4k+1 5,13,17,29, ... 193,197, ...
P3 primes of the kind 4k+3 3,7,11,19, ... 163,167, ...
C1 composites with all factors from P1 25,65,85,125, ... 481,485, ...
C3 composites with all factors from P3 9,21,27,33, ... 207,209, ...
1. If N is a number then there is an n > N so that both n and n+4 are in P1.
2. If N is a number then there is an n > N so that both n and n+4 are in P3.
3... 阅读全帖 |
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i****g
发帖数: 3896 | 6 http://blog.sina.com.cn/s/blog_c24597bf0101b871.html
致谢：I would like to thank Prof. Shing-Tung Yau for suggesting the title of
this article, Prof. William Dunham for information on the history of the
Twin Prime Conjecture, Prof. Liming Ge for biographic information about
Yitang Zhang, Prof. Shiu-Yuen Cheng for pointing out the paper of
Soundararajan cited in this article, Prof. Lo Yang for information about
Chengbiao Pan quoted below, and Prof. Yuan Wang for detailed information on
result... 阅读全帖 |
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h*h
发帖数: 27852 | 7 Zhang, Yitang’s life at Purdue
(Jan. 1985-Dec, 1991)
T.T.Moh1
Dr. Zhang Yitang made a major advancement to the twin prime conjecture
as verified by Prof. H. Iwaniec, a famous number theorist. This is a
historic result. I congratulate Dr. Zhang, Yitang.
The concept of prime nummbers started with Greek mathematics. Euclid
shown that there were infinitly many primes. We may view the integers as
houses built on the integer spots on the real line, and put a light in every
prime number houses. Then in... 阅读全帖 |
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h*h
发帖数: 27852 | 8 【 以下文字转载自 Military 讨论区 】
发信人: hsh (nidaye), 信区: Military
标 题: 莫宗坚谈张益唐：张没有找莫要推荐信
发信站: BBS 未名空间站 (Thu Jun 2 15:59:38 2016, 美东)
Zhang, Yitang’s life at Purdue
(Jan. 1985-Dec, 1991)
T.T.Moh1
Dr. Zhang Yitang made a major advancement to the twin prime conjecture
as verified by Prof. H. Iwaniec, a famous number theorist. This is a
historic result. I congratulate Dr. Zhang, Yitang.
The concept of prime nummbers started with Greek mathematics. Euclid
shown that there were infinitly many primes. We may... 阅读全帖 |
|
m****t
发帖数: 570 | 9 http://nautil.us/issue/5/fame/the-twin-prime-hero
The Twin Prime Hero
–Rags, riches, and fame in mathematics
MICHAEL SEGAL
Yitang “Tom” Zhang spent the seven years following the completion of his
Ph.D. in mathematics floating between Kentucky and Queens, working for a
chain of Subway restaurants, and doing odd accounting work. Now he is on a
lecture tour that includes stops at Harvard, Columbia, Caltech, and
Princeton, is fielding multiple professorship offers, and spends two hours a
day d... 阅读全帖 |
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p**********n
发帖数: 1470 | 10 1. Pierre Deligne 证明 Weil conjecture. 1973. 获得 1978 Fields.
路线: Grothendieck program，但绕过证明整个standard conjecture的困难。
拓展：Deligne 随后又对standard conjecture前进了几步，但尚未攻克整个
conjecture. 张益唐的证明里也用了这个工作，但T. Tao发现其实并不是一定需要。
2. 丘成桐 证明 Calabi conjecture. 1978. 获得 1982 Fields.
意义：此后 Calabi-Yau manifold 在数学和物理界处处稠密。
3. Gerd Faltings 证明 Modell conjecture. 1983. 获得 1986 Fields.
意义：这同时也是 Wiles 之前对 Fermat conjecture 最深的工作。
4. Andrew Wiles 证明 Fermat conjecture. 1994. 获得 1998 ICM 特别奖.
路线：证明Tani... 阅读全帖 |
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d*******g
发帖数: 1265 | 11 以下是摘自Perelman的Wikipedia条目中关于庞加莱猜想验证过程的介绍。第二部分是
朱熹平的工作。我个人猜测Perelman隐退数学界的动机之一是这个事件：他觉得数学界
的人太不纯粹了。
Verification
Since 2003, Perelman's program has attracted increasing attention from the
mathematical community. In April 2003, he accepted an invitation to visit
the Massachusetts Institute of Technology, Princeton University, Stony Brook
University, Columbia University and New York University, where he gave a
series of talks on his work.[18]
Three independent groups of scholars have verified that ... 阅读全帖 |
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l***o
发帖数: 7937 | 12 (1)
Rumors swept through the mathematics community that a great advance had been
made by a researcher no one seemed to know — someone whose talents had
been so overlooked after he earned his doctorate in 1992 that he had found
it difficult to get an academic job, working for several years as an
accountant and even in a Subway sandwich shop.
“Basically, no one knows him,” said Andrew Granville, a number theorist at
the Université de Montréal. “Now, suddenly, he has proved one of the
great results... 阅读全帖 |
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v**********m
发帖数: 5516 | 13 Sir Karl Raimund Popper, CH FRS[1] FBA (28 July 1902 – 17 September 1994)
was an Austro-British[2] philosopher and a professor at the London School of
Economics.[3] He is regarded as one of the greatest philosophers of science
of the 20th century;[4][5] he also wrote extensively on social and
political philosophy.
Popper is known for his attempt to repudiate the classical observationalist
/ inductivist form of scientific method in favour of empirical falsification
. He is also known for his oppo... 阅读全帖 |
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k******0
发帖数: 1073 | 14 Zhang, Yitang’s life at Purdue
(Jan. 1985-Dec, 1991)
T.T.Moh
1
Dr. Zhang Yitang made a major advancement to the twin prime conjec-ture as
verified by Prof. H. Iwaniec, a famous number theorist. Some people are
curious about Yitang’s life as a graduate student at Purdue University.As
the thesis adviser of Dr. Zhang, I will share my memories of
him.
1 China to USA
By the recommendations of Prof. Ding, Shihsun (an algebrais
t, Presi-dent of Peking University) and Prof. Deng, D.G. (Chairman of
Depar... 阅读全帖 |
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P*****t
发帖数: 4978 | 15 【 以下文字转载自 Mathematics 讨论区 】
发信人: endoscopy (暂时没有), 信区: Mathematics
标 题: 数学界的重大突破，据说Annals已经接受啦
关键字: 素数
发信站: BBS 未名空间站 (Tue May 14 05:58:29 2013, 美东)
没有人八卦这个吗？
今天的Nature已经刊登了新闻。
如果最终是对的话，我觉得是近50年来数学的重大结果
可能没有FLT对数学的促进大，但是不比费尔马大定里的影响小
对搞数学的来说 证明相差为70000000的素数有无穷多对和证明相差为2的素数有无穷多
对。并没有实质性的差别。意义是一样的。
http://www.nature.com/news/first-proof-that-infinitely-many-pri
First proof that infinitely many prime numbers come in pairs
Mathematician claims breakthrough towards solving centuries-old problem.
Magg... 阅读全帖 |
|
m*********a
发帖数: 2000 | 16 【 以下文字转载自 Mathematics 讨论区 】
发信人: endoscopy (暂时没有), 信区: Mathematics
标 题: 数学界的重大突破，据说Annals已经接受啦
关键字: 素数
发信站: BBS 未名空间站 (Tue May 14 05:58:29 2013, 美东)
没有人八卦这个吗？
今天的Nature已经刊登了新闻。
如果最终是对的话，我觉得是近50年来数学的重大结果
可能没有FLT对数学的促进大，但是不比费尔马大定里的影响小
对搞数学的来说 证明相差为70000000的素数有无穷多对和证明相差为2的素数有无穷多
对。并没有实质性的差别。意义是一样的。
http://www.nature.com/news/first-proof-that-infinitely-many-pri
First proof that infinitely many prime numbers come in pairs
Mathematician claims breakthrough towards solving centuries-old problem.
Magg... 阅读全帖 |
|
f***e
发帖数: 332 | 17 WEI ZHANG TO RECEIVE 2010 SASTRA RAMANUJAN PRIZE
http://www.math.ufl.edu/sastra-prize/2010.html
The 2010 SASTRA Ramanujan Prize will be awarded to Wei Zhang, who is now a
Benjamin Pierce Instructor at the Department of Mathematics, Harvard
University,
USA. This annual prize which was established in 2005, is for outstanding
contributions by very young mathematicians to areas influenced by the genius
Srinivasa Ramanujan. The age limit for the prize has been set at 32 because
Ramanujan achieved so ... 阅读全帖 |
|
i****g
发帖数: 3896 | 18 【 以下文字转载自 Mathematics 讨论区 】
发信人: endoscopy (暂时没有), 信区: Mathematics
标 题: 数学界的重大突破，据说Annals已经接受啦
关键字: 素数
发信站: BBS 未名空间站 (Tue May 14 05:58:29 2013, 美东)
没有人八卦这个吗？
今天的Nature已经刊登了新闻。
如果最终是对的话，我觉得是近50年来数学的重大结果
可能没有FLT对数学的促进大，但是不比费尔马大定里的影响小
对搞数学的来说 证明相差为70000000的素数有无穷多对和证明相差为2的素数有无穷多
对。并没有实质性的差别。意义是一样的。
http://www.nature.com/news/first-proof-that-infinitely-many-pri
First proof that infinitely many prime numbers come in pairs
Mathematician claims breakthrough towards solving centuries-old problem.
Magg... 阅读全帖 |
|
t********e
发帖数: 90 | 19 (1) Neither Conjecture A or B is related to Bertrand's Postulate, which
states there is a prime between (n,2n-2) for all n>3.
Bertland Postulate is basically saying G(n)
(2) I did mention Opperman conjecture in my original post: there is always a
prime in the intervals (n^2,(n+1)^2).
However, a stonger conjecture there is always a prime in the intervals (n,n+
n^{1/2}) and Opperman conjecture is not equivalent to the two conjectures I
proposed here.
Simply put, Conjecture A and Conjecture B ass |
|
n*********y
发帖数: 54 | 20 WEI ZHANG TO RECEIVE 2010 SASTRA RAMANUJAN PRIZE
http://www.math.ufl.edu/sastra-prize/2010.html
The 2010 SASTRA Ramanujan Prize will be awarded to Wei Zhang, who is now a
Benjamin Pierce Instructor at the Department of Mathematics, Harvard
University, USA. This annual prize which was established in 2005, is for
outstanding contributions by very young mathematicians to areas influenced
by the genius Srinivasa Ramanujan. The age limit for the prize has been set
at 32 because Ramanujan achieved so ... 阅读全帖 |
|
e*******y
发帖数: 73 | 21 没有人八卦这个吗？
今天的Nature已经刊登了新闻。
如果最终是对的话，我觉得是近50年来数学的重大结果
可能没有FLT对数学的促进大，但是不比费尔马大定里的影响小
对搞数学的来说 证明相差为70000000的素数有无穷多对和证明相差为2的素数有无穷多
对。并没有实质性的差别。意义是一样的。
http://www.nature.com/news/first-proof-that-infinitely-many-pri
First proof that infinitely many prime numbers come in pairs
Mathematician claims breakthrough towards solving centuries-old problem.
Maggie McKee 14 May 2013
Cambridge, Massachusetts
Mathematician Yitang Zhang has outlined a proof of a 'weak' version of the
conjecture on twin prime numb... 阅读全帖 |
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i****g
发帖数: 3896 | 22 能不能不要只盯着这些无聊的生活细节啊？他的学生对他评价都很高，绝对是一位优秀
的老师：
This man taught me calculus. A wonderful gentleman and a phenomenal
instructor.
[+]Temorse 282 points283 points284 points 12 hours ago (11 children)
[–]Temorse 282 points283 points284 points 12 hours ago
I was also lucky enough to have him as my calc professor, twice. The first
thing he would tell us at the beginning of each term was, "My name is Yitang
Zhang, but in China, you would call me Zhang Yitang." Then he would erase
both names off the white ... 阅读全帖 |
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f*u
发帖数: 5923 | 23 要说不热门，为什么影视小说都要说哥德巴赫猜想呢？连悬赏都有。
To generate publicity for the novel Uncle Petros and Goldbach's
Conjecture by Apostolos Doxiadis, British publisher Tony Faber offered a $1,
000,000 prize if a proof was submitted before April 2002. The prize was not
claimed.
The television drama Lewis featured a mathematics professor who had won
the Fields medal for his work on Goldbach's conjecture.
Isaac Asimov's short story "Sixty Million Trillion Combinations"
featured a mathematician who suspected... 阅读全帖 |
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w****n
发帖数: 113 | 24 They are not equivalent. Shimura-Taniyama Conjecture (actually a special
case suffices), however, along with other existing results yields FLT.
A non-trivial solution to a Fermat equation x^p+y^p=z^p (*) corresponds to a
rational point (of infinite order) on an elliptic curve E that corresponds
to (*). Thus, to show that (*) has no non-trivial solutions, it suffices to
show that the curve E has (algebraic) rank 0 (ie. has no rational points of
infinite order). To an elliptic curve, there are tw... 阅读全帖 |
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t********e
发帖数: 90 | 25 If we consider for "sufficient large N", both conjecture are somehow the
variants of Opperman's conjecture , which is little bit stronger than Andrica's
conjecture. However we are considering ALL nutural numbers here instead.
To put it more precisely, both conjectures A and B are more like Legendre's
conjecture, proposed by Adrien-Marie Legendre, states that there is a prime
number between n^2 and (n + 1)^2 for every positive integer n.
Legendre's conjecture is little bit weaker than Andrica's c |
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l***o
发帖数: 7937 | 26 http://www.scmp.com/lifestyle/technology/article/1256542/zhang-
No mathematician should ever allow himself to forget that mathematics, more
than any art or science, is a young man's game," the British mathematician G
.H. Hardy wrote in A Mathematician's Apology. But the older guys are now
catching up.
Since Hardy wrote those lines in 1940, it has been conventional wisdom that
mathematical breakthroughs are most often made in a moment of brilliance by
a born genius at a young age, rather than an ... 阅读全帖 |
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M****o
发帖数: 4860 | 27 December 02, 2013 9:53 AM
Press release
DURHAM — Yitang “Tom” Zhang, a lecturer in mathematics at the University
of New Hampshire, will receive the 2014 Frank Nelson Cole Prize in Number
Theory from the American Mathematical Society (AMS) and the 2013 Ostrowski
Prize.
Presented every three years, the Cole Prize recognizes an outstanding
research paper in number theory that has appeared in the preceding six years
. The prize will be awarded on Thursday, Jan. 16, 2014, at the AMS's Joint
Mathemati... 阅读全帖 |
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M****o
发帖数: 4860 | 28 After Prime Proof, an Unlikely Star Rises
Two years ago, Yitang Zhang was virtually unknown. Now his surprise solution
to a major problem in number theory has catapulted him to mathematical
stardom. Where does he go from here?
https://www.quantamagazine.org/20150402-prime-proof-zhang-interview/
By: Thomas Lin
April 2, 2015
As a boy in Shanghai, China, Yitang Zhang believed he would someday solve a
great problem in mathematics. In 1964, at around the age of nine, he found a
proof of the Pythagore... 阅读全帖 |
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x********i
发帖数: 905 | 29 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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g****t
发帖数: 31659 | 30 【 以下文字转载自 EE 讨论区 】
发信人: guvest (我爱你老婆Anna), 信区: EE
标 题: NYT: Solving a Riddle of Primes
发信站: BBS 未名空间站 (Mon May 20 22:48:57 2013, 美东)
分享下中国人的骄傲.
发信人: dionysus (悲剧的诞生), 信区: Mathematics
标 题: NYT: Solving a Riddle of Primes
发信站: BBS 未名空间站 (Mon May 20 21:27:36 2013, 美东)
http://www.nytimes.com/2013/05/21/science/solving-a-riddle-of-p
Solving a Riddle of Primes
By KENNETH CHANG
Published: May 20, 2013
Three and five are prime numbers — that is, they are divisible only by 1
and by themselves. So are ... 阅读全帖 |
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d******s
发帖数: 180 | 31 http://www.nytimes.com/2013/05/21/science/solving-a-riddle-of-p
Solving a Riddle of Primes
By KENNETH CHANG
Published: May 20, 2013
Three and five are prime numbers — that is, they are divisible only by 1
and by themselves. So are 5 and 7. And 11 and 13. And for each of these
pairs of prime numbers, the difference is 2.
Mathematicians have long believed that there are an infinite number of such
pairs, called twin primes, meaning that there will always be a larger pair
than the largest one found.... 阅读全帖 |
|
d******s
发帖数: 180 | 32 http://aimath.org/news/primegaps70m/
第一段就很有料，四月后期投稿，五月中旬便接受，对于一篇55页的paper来说速度惊
人。
Zhang's Theorem on Bounded Gaps Between Primes
by Dan Goldston
In late April 2013 Yitang Zhang of the University of New Hampshire submitted
a paper to the Annals of Mathematics proving that there are infinitely many
pairs of primes that differ by less than 70 million. The proof of this
amazing result was verified with high confidence by several experts in the
field and accepted for publication. A public slightly re... 阅读全帖 |
|
D*****r
发帖数: 6791 | 33 http://golem.ph.utexas.edu/category/2013/05/bounded_gaps_betwee
Guest post by Emily Riehl
Whether we grow up to become category theorists or applied mathematicians,
one thing that I suspect unites us all is that we were once enchanted by
prime numbers. It comes as no surprise then that a seminar given yesterday
afternoon at Harvard by Yitang Zhang of the University of New Hampshire
reporting on his new paper “Bounded gaps between primes” attracted a
diverse audience. I don’t believe the paper is... 阅读全帖 |
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o*********r
发帖数: 168 | 34 看起来很有可能的事，要在数学上证明它就完全是另外一回事了。对数论研究说来尤其
如此。很多名题变得家喻户晓，就是因为它们的阐述简单。但这正是它迷惑人的地方。
一些狂人们看了一眼之后会说，这有什么难的。只要听到这样说话的人，除非对方是高
斯，以后可以放心大胆地失去对这个人的学术信任了。
我们这一代人中许多人--不知道张先生是不是其中的一个--对数论的了解是从陈景润证
明1+2开始的。这以后中国大地出了不少不哥猜家，他们的热情和天真，对这个经典难
题以及费马大定理等等名题构成了一种让人尴尬的讽刺。
我以前有过一个数学非常好的朋友。他曾是南方某“数学大省”77级的高考状元。我问
他，数学系里面什么课程最难，他连想也没有想就回答我：数论。在那个行当里的人知
道数论研究有多难。据说流体力学大师，钱学森的老师冯。卡门说过：上帝懂得量子力
学，但是上帝不懂湍流(我在网上没有找到这句话，是读书时听老师闲聊的时候说的)。
数学大师Erdos说：上帝也许不掷骰子，但素数却有些怪。他就差说上帝不懂素数了。
在什么地方成名的人知道什么地方的难处和艰辛。实际上在数论研究上的贡献，构成了
一个度量纯粹数学家名望的尺... 阅读全帖 |
|
c*****r
发帖数: 529 | 35 this comment is very 公道：
anonymous says:
November 20, 2013 at 2:30 pm
When there are possibly a million approaches towards solving a problem, and
the feasibility of each approach is verifiable in polynomial time, this
problem is called NP-HARD. When a prophet tells you that one particular
approach is doable, then everybody can solve this problem in polynomial time.
When there are a million conjectures, and the provability of each conjecture
requires indefinite time to know, this family of conjec... 阅读全帖 |
|
|
x*******i
发帖数: 59 | 37 Please read the novel first. Not only for understanding the dark forest
conjecture, but also for enjoying the nice story.
The dark forest conjecture tries to answer a question "if there are a lot of
civilizations in the space, why we haven't received any type of
communication signal". The dark forest conjecture says it is because the
civilizations are afraid of doing so.Why? because there will be a very high
probability that the civilization will be terminated if it tries to
broadcast signal.
Th... 阅读全帖 |
|
s*******e
发帖数: 1389 | 38 对我们做生物研究的人，尤其在“wet lab”中的人来说是一本很有意思及引发思考的
好书。
The Science of Conjecture
——Evidence and Probability before Pascal
https://jhupbooks.press.jhu.edu/content/science-conjecture
James Franklin
How did we make reliable predictions before Pascal and Fermat's discovery of
the mathematics of probability in 1654? What methods in law, science,
commerce, philosophy, and logic helped us to get at the truth in cases where
certainty was not attainable? In The Science of Conjecture, James Franklin
examines how j... 阅读全帖 |
|
t**********m
发帖数: 205 | 39 The Structuring Force of Galaxies （3rd Version)
http://rxiv.org/pdf/1103.0110v3.pdf
The concept of rational structure was suggested in 2000. A flat material
distribution is called the rational structure if there exists a special net
of orthogonal curves on the plane, and the ratio of mass density at one side
of a curve (from the net) to the one at the other side is constant along
the curve. Such curve is called a proportion curve. Such net of curves is
called an orthogonal net of proportion curv... 阅读全帖 |
|
|
t**********m
发帖数: 205 | 41 The Structuring Force of Galaxies （3rd Version)
http://rxiv.org/pdf/1103.0110v3.pdf
The concept of rational structure was suggested in 2000. A flat material
distribution is called the rational structure if there exists a special net
of orthogonal curves on the plane, and the ratio of mass density at one side
of a curve (from the net) to the one at the other side is constant along
the curve. Such curve is called a proportion curve. Such net of curves is
called an orthogonal net of proportion curv... 阅读全帖 |
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c****o
发帖数: 248 | 42 来自主题: Mathematics版 - 张是幸运的 老张证明了有无数个素数之差小于 12,000。
但是，2 到 12,000 是有限的，所以，老张证明了有无数个素数之差等于 2 到 12,000
中的某一个数。(This results indicates that Twin Prime Conjecture is very
likely to be true).
如果这个数是 2 ， 就是 Twin Prime Conjecture。
当然，这个证明(Twin Prime Conjecture)是异常难的，我们这辈子也不一定可以看到。
谁能证明 Twin Prime Conjecture， 谁就是最伟大的数学家了。 |
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t***k
发帖数: 144 | 43 强弱孪生素数猜想等价：《数学年鉴》是否会接受？
Re: Find number theory : Goldbach's conjecture and generalized twin primes
conjecture is equivalent
The sender:"annals"
Time:11/12/2013 15:21 AM
Addressee:***
Copy to:"annals"
Dear Dr. ***,
We have received your submission,
"Goldbach's conjecture and generalized twin primes conjecture is equivalent"
to the Annals of Mathematics and have forwarded it to the editors.
We will contact you when we have any further inform... 阅读全帖 |
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i***0
发帖数: 8469 | 44 World records
Current records
This table lists the current best upper bounds on Hm - the least quantity
for which it is the case that there are infinitely many intervals n, n+1,
ldots, n+H_m which contain m + 1 consecutive primes - both on the assumption
of the Elliott-Halberstam conjecture, without this assumption, and without
EH or the use of Deligne's theorems. The boldface entry - the bound on H1
without assuming Elliott-Halberstam, but assuming the use of Deligne's
theorems - is the quantit... 阅读全帖 |
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L*m
发帖数: 235 | 45 最近十年在annals of mathematics上发表或合作发表文章的华人全统计（不包括
terrence tao和一位mit本科毕业的abc华人），单位统计以现在作者单位为准
annals
2015年
A proof of Demailly’s strong openness conjecture
关启安（北京大学） 周向宇（中科院）
A solution of an L2 extension problem with an optimal estimate and
applications
关启安（北京大学） 周向宇（中科院）
Finsler metrics and Kobayashi hyperbolicity of the moduli spaces of
canonically polarized manifolds
杨世琪（普渡大学） Wing-Keung To（新加坡国立大学）
Construction of Cauchy data of vacuum Einstein field equations evolving to
black holes
黎俊彬（中山大学）... 阅读全帖 |
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L*m
发帖数: 235 | 46 统计了近十余年来中国大陆高校在四大刊物上的发文，有些是挂名的，但不管如何，还
是都统计了。全名单如下
Annals of Mathematics
A proof of Demailly’s strong openness conjecture
Qi'an Guan（关启安 北京大学） Xiangyu Zhou（周向宇 中科院）
A solution of an L2 extension problem with an optimal estimate and
applications
Qi'an Guan（关启安 北京大学） Xiangyu Zhou（周向宇 中科院）
Construction of Cauchy data of vacuum Einstein field equations evolving to
black holes
Junbin Li（黎俊彬 中山大学） Pin Yu（于品 清华大学）
Special test configuration and K-stability of Fano varieties
Chi Li(李驰 普林斯顿大学 现stony broo... 阅读全帖 |
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A***e
发帖数: 130 | 47 Tao's original post https://galoisrepresentations.wordpress.com/2017/12/17/
the-abc-conjecture-has-still-not-been-proved/):
Thanks for this. I do not have the expertise to have an informed first-hand
opinion on Mochizuki’s work, but on comparing this story with the work of
Perelman and Yitang Zhang you mentioned that I am much more familiar with,
one striking difference to me has been the presence of short “proof of
concept” statements in the latter but not in the former, by which I mean
ways i... 阅读全帖 |
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t**********m
发帖数: 205 | 48 The Structuring Force of Galaxies （3rd Version)
http://rxiv.org/pdf/1103.0110v3.pdf
The concept of rational structure was suggested in 2000. A flat material
distribution is called the rational structure if there exists a special net
of orthogonal curves on the plane, and the ratio of mass density at one side
of a curve (from the net) to the one at the other side is constant along
the curve. Such curve is called a proportion curve. Such net of curves is
called an orthogonal net of proportion curv... 阅读全帖 |
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k***g
发帖数: 7244 | 49 这书去年就出版了，当时因为 Economist 给了书评所以刚出来就看了，记得我在什么
地方也写过书评，记不得是不是在历史版了。这儿主要说说他那个“ social
development ”的数据。趁午饭这段时间，写不完以后再补充
【1】 纯粹从统计的角度讲，他的那两幅画其实说明不了什么问题，但凡 estimate，
必须要给 confidence interval / confidence band, 他的那个数据已经不是
estimate 而是 guesstimate （记得这是他书中反复出现的词），他的置信区间可以扔
进去一辆卡车，所以从他的数据里，你肯本无法说两条曲线是显著的相互区别的，尽管
记得他在书中强调过，在某些点，他的误差在 正负 5% 也可能是正负 10% 但是不到
正负 20% —— 但是其实他这里有些混淆概念（pointwise confidence band v.s.
simultaneous confidence band），也许有些数据点可能比较精确，特别是离现在越近
的数据点，准确度越高，但是早期的猜测准确性太差了。
这点其实作者也意识到了，记得他先搬出来... 阅读全帖 |
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