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.