On major content update "mirror symmetry (string theory)" in the English version of Wikipedia

Japanese version

Since the beginning of this month, the contents of the article "mirror symmetry (string theory)" in Wikipedia's English version has been significantly updated. I think that its perspective is turned to the "mathematical" at all. The contents was different from the previous "mirror symmetry (string theory)" from the "physical" viewpoint.

I think that this article's not that bad and it is better to to change the title of the article (for example, "mirror symmetry (mathematics)" so on).

Already, I have been translated this new article into Japanese. In addition, the article from the point of view "physical" earlier remains as a "Appendix". You know immediately if you can see Japanese version.

Fortunately, behind the Japanese version, the English version of the article "Physical" earlier remains still now, so just is commented out, it is possible to revive without difficulty. Firstly, I will revive the former version as Appendix of English new version and after obtaining the consensus of the community I want to change the title of the new article.

I agree completely Mr. Polytope24, who update broadly this article. and I have revived the 1st Aug 2013 version on note in English version, as Appendix in Japanese version. Everybody might update the previous article.

14 Sep. 2013 I have moved the 1st Aug. 2013 version from "Appendix" to the "note" and have translated the whole of current article into Japanese.

I have comment this opinion on the notes column of the article both of Japanese version and English version. The URL of the article is the following.

Mirror symmetry (string theory)(in English)

Mirror symmetry (string theory)(in Japanese)

A Proof of the Full Shimura- Taniyama-Weil Conjecture Is Announced

Japanese version before half　Japanese version later half

Until read this article on AMS journal, Quadratic reciprocity law is of algebraic number theory, while Shimura Taniyama conjecture is of the number theory of automorphic forms, I think,,, As soon as I read it, found that Quadratic Rediprocity law is an example of Shimura Taniyama conjecture. There might be a lot of the same description on the other books. Although a little old, I think this article is very important and translated into Japanese．

The original URL by Henri Darmon：
A Proof of the Full Shimura- Taniyama-Weil Conjecture Is Announced

A translation into Japanese:
A Proof of the Full Shimura- Taniyama-Weil Conjecture Is Announced (In Japanese) before half
A Proof of the Full Shimura- Taniyama-Weil Conjecture Is Announced (In Japanese) later half

The Geometric Langlands Program with Edward Frenkel

Japanese version

Fields Medal Symposium will be held this October. Professor E. Frenkel's view to Langlands program is posted on the BLOG for the general public. He says that the origin of Number Theory is how many solutions algebraic equation has and Langlands program is harmonic analysis. I think this is very important and translate into Japanese．

The original URL：
The Geometric Langlands Program with Edward Frenkel

A translation into Japanese:
The Geometric Langlands Program with Edward Frenkel (In Japanese)

What is a symplectic manifold, really?

Japanese version

I have translated "What is a symplectic manifold, really?" into Japanese and posted on my BLOG. Because the article on ja.wiki about "Symplectic Manifold" is just only the mathematical definition and no its histories, no its future and no motives of researches. Such fact happens in Japan. Perhaps it is a wrong Japanese culture.

The original article:
What is a symplectic manifold, really? (in English)

A translation into Japanese:
What is a symplectic manifold, really? (in Japanese)

The cradle of arthmetic topology

Japanese version

Recently, on B. Mazur's home page, an article tilted "Remarks on the Alexander Polynomial" he presents that Alexander polynomials (modules) directly are related to Iwasawa theory, and that the origin of this idea comes from D. Mumford's idea. I was impressed by the paper is the introduction of Dr. Lieven "cradle of arithmetic topology."

The original preprint：
Remarks on the Alexander Polynomial

On Higgs field from the mathematical point of view

Japanese version

Higgs field is also important in Mathematics. Essays have been published in the Notices of the AMS Sep 2007. In Physics the Higgs field is a scalar field, while in mathematics 1-form. It appears in the application to number theory.

The original article:
What is a Higgs bundle? (in English)

A translation into Japanese:
What is a Higgs bundle? (in Japanese)

Reflection on arithmetic physics

Japanese version I Japanese version II Japanese version III

I translate into Japanese the main part of the essay "Reflection on arithmetic physics" in 1989 of Professor Manin. Posted on the blog in three divided doses. Unfortunately, the electronic media does not exist, can not be posted a link and cannot link to it.

The original document: Yu. I. Manin, "Reflections on Arithmetical Physics," in Conformal Invariance and String theory (Academic, Boston 1989), pp.293-303; Selected papers of Yu. I. Manin (World Sci, Singapore, 1996), pp. 518-528

Today is the day of discovery of the Higgs. What comes next?

Japanese version
Today, 4 Jul. 2012,is the day of discovery of the Higgs particle. And I post the related BLOG, which does not contain the official sites.


The Higgs particle

my list of wikipedia

Japanese version none
Here is my list of some articles that I have already corrected and created.


my list of wikipedia

On Alexander polynomial

Japanese version
In order to explain the analogy between Alexander polynomials (modules) and Iwasawa theory I will translate into Japanese the article titled "Alexander Polynomial" on en.wiki. The article titled so on Japanese version doesn't contain any explanation of Alexander modules.

The original is the following:

Alexander polynomial

a translation into Japanese:

Alexander polynomial (in Japanese)

More on 3D gravity by Witten

Japanese version

On "Quantum Gravity in Flatland" there are the topic on Witten and Maloney. There is a sensational described as "they has been suggested in the simplest version of the two-dimensional gravity, and does not seem to correctly predict the holographic principle. Since the original preprint is difficult, which is a little old. On the Japanese version I have been written on my notebook for the BLOG by Mr. Scott about it and post it with some comments.

Scott's BLOG：
Witten: More on 3D gravity

The preprint by Witten and Maloney：
Quantum Gravity Partition Functions In Three Dimensions

More on 3D gravity by Witten (in Japanese)

On "Quantum Gravity in Flatland"

Japanese version

On Scientific American April 2012 (and NIKKEI SCIENCE July (its Japanese translation)) Prof. Carlip had written an article titled "Quantum Gravity in Flatland." It is very interesting for me and I post its points and my questions on my BLOG. (There are likely to revision.)

On Quantum Gravity in Flatland (in English)

On Quantum Gravity in Flatland (in Japanese)

(2+1)dimensional gravity theory

Japanese version
1, the translations of some article on BLOGs.

P. Woit's "Witten on 2+1 dimensional gravity"
Witten on 2+1 Dimensional Gravity

2, L. Motl's "Monstrous symmetry of black holes: beauty and the beast"
Witten on 2+1 Dimensional Gravity II

3, Points and my impression for the article by Dr. Carlip on SCIENTIFIC AMERICAN July
On Quantum Gravity in Flatland

4, On the second item from the end of my article above:
More on 3D gravity by Witten

Mahler’s measure, hyperbolic geometry and the dilogarithm

Japanse version
Dr. David Boyd was a professor of Number Theory at British Columbia UNIV. for a long time. I had recently known his retirement. About 9 years ago I read his article on a journal and write it 1page as "shakyoh," which means copying the bible of Buddhism in Japan. After his retirement I knew the article remained on the net. And, the full text was able to be acquired. There is Nunber Theory to run freely about three fields of mathematics of algebra, geometry, and the analysis. I translated into the full text Japanese and to post it on my BLOG. It is fortunate if becoming a part of the motive of a young person.

The original articles are on p3,p4,p26,p27,p28 of the following journal:

Mahler's measure, hyperbolic geometry and the dilogarithm

and p15,p16 of the following journal:

Explicit formulas for Mahler measure

Its translation is decomposed to two parts.

The before half:
Mahler's measure, hyperbolic geometry and the dilogarithm I (in Japanese)

The after half:
Mahler's measure, hyperbolic geometry and the dilogarithm II (in Japanese)

Mahler's measure, hyperbolic geometry and the dilogarithm III (in Japanese only, my comments and explanations)

Mahler's measure, hyperbolic geometry and the dilogarithm IV (in Japanese) translate from "Explicit formulas for Mahler measure"

Mahler's measure, hyperbolic geometry and the dilogarithm V (in Japanese only, my comments and explanations)

Page of Dr. Boyd. There are some summaries of the conferennse at BIRS. In particular, the summary in 2003 titled "The Many Aspects of Mahler's Measure" is very suitable to explain the posted articles about Dr. Boyd. Then I will translated it, separating to 3 parts.

The original document:

The Many Aspects of Mahler's Measure

and Dr. Boyd's Home Page:

David W. Boyd

The first part of the translation:

Mahler’s measure, hyperbolic geometry and the dilogarithm VI (in Japanese)

Mahler’s measure, hyperbolic geometry and the dilogarithm VII (in Japanese)

Mahler’s measure, hyperbolic geometry and the dilogarithm VIII (in Japanese)

I will add some little comments so the Japanese versions are tentative.

Some Stories by Prof. Lieven le Bruyn on Arithmetic Topology

Japanese version
Recently, Professor Lieven le Bryun is describing about Arithmetic Toplogy on his BLOG, progressing now. The articles I'm interested in are listed as follows. I would like to translate them into Japanese with other topics.
I add the preprint "Remarks on the Alexander Polynomials" by B. Mazur. I translated into Japanese only the introduction of it.

An episode of arithmetic topology My original

Mumford's treasure map
　　　　　　Japanese version

Manin's geometric axis
　　　　　　Japanese version

Mazur's knotty dictionary
　　　　　　Japanese version

Gukov on Arithmetic Topology and Gauge Theory (extra)
　　　　　　Japanese version

Grothendieck's functor of points
　　　　　　Japanese version

What is the knot associated to a prime?
　　　　　　Japanese version

Remarks on the Alexander Polynomials by Barry Mazur

Who dreamed up the primes=knots analogy?
　　　　　　Japanese version

the birthday of the primes=knots analogy
　　　　　　Japanese version

Manin’s three-space-2000
　　　　　　Japanese version

On mathematical physics seminer

Japanese version
The fourth mathematical physics seminar was held on April the 1st. 4 times of the old contents are arranged and it is made a list. Regrettably, I cannot translate all of the contents into English. But I had already posted my explanation at the second time seminer into English.

The 1st time:
On the convergence of generating prime number on "purple circle" (Japanese only) by Mr. Konishi.

The 2nd time:
Zeta Function and Statistical Dynamics (in English) by Yokoyama.

The 3rd time:
Partition Function and Correlation Function (Japanese only) by Mr. Kohmoto.

The 4-th time:
Value, Money and Price (Japanese only) by Mr. Kondo.

An episode of arithmetic topology

Japanese version
Now, although this article does not relate to arithmetic topology, the beginning of Dr. Lieven's blog is the work of Dr. David Mumford, and he talked about the textbook of the algebra geometry. I was very astonishing because the figure on it are the ones that I studied in my youth from some pirate edition(?) of Mumford's textbook, which might be of mimeographed type and I post the following article.

An episode of arithmetic topology

two translations from en.wiki

Japanese version of Langlands Program
Japanese version of Local Langlands Conjecture

Because in Japanese wikipedia there are no items about Langlands program I translated them.

the original articles：

Langlands program

Local Langlands conjectures

The opportunity of geometric Langlands

Japanese version
About the opportunity which comes to write Mr. Kapustin, and "electricity and magnetism and geometric Langlands", E. Witten told in a lecture "Gauge Theory and the Geometric Langlands Program" at StonyBrook on August 10, 2005. The following report is based on notes by Ram Sriharsha.

The report:
Gauge Theory and the Geometric Langlands Program

I translate the part of it, which contains that Dr. Witten listened Ben-zvi's lecture, and I posted my Japanese BLOG restricted to the opportunity of geometric Langlands.

Quantropy Part3

Japanese version before half
Japanese version after half

Now, "Quantropy (Part3)," the series by Dr. John Baez and I translated them into Japanese.

the before half of Part3 (in Japanese)

the after half of Part3 (in Japanese)

The original article:

Quantropy (Part 3)