Saturday, December 31, 2011

Arthur's brief history of the trace formula (translation)

Japanese version 1 Japanese version 2 Japanese version appendix
I have translated Arthur's "A (very brief) History of the Trace Formula" into Japanese. It describes the history of Selberg trace formula and after of it.
Arthur's origial article is:
A (very brief) History of the Trace Formula

Japanese translations:
A brief history of the trace formula 1
A brief history of the trace formula 2
A brief history of the trace formula (appendix)
(appendix) contains two articles in en.wikipedia titled by "the foundamental lemma" and "Springer correspondence."

Thursday, December 29, 2011

Knots and Quantum Theory

Japanese version
In October 28, 2011 E.Witten gave the lecture for general "Knot and Quantum Theory" and I translate this description on slide into Japanese and add some remarks. Because at last month I post the argument on Woit's BLOG about Number Theory and Physics after Witten's talk and it becomes the most familiar article on my BLOG in this month.

Knots and Quantum Theory Edward Witten (in Japanese only)

The original Witten's lecture:
Knots and Quantum Theory

Saturday, December 24, 2011

A talk at Phys. Tokyo UNIV:Agenda

Japanese version
On December 11 at the department of Physics of Tokyo UNIV. I gave a little talk about "Zeta Function and Correlation Function." Although this seminar is informal, I was allowed to perform a talk about 3 hours and introduce to young students some references. Eight persons heard my talk including two of my friends. Since young student were main partners, I said my opinion "algebra geometry and arithmetic geometry are important for physics (mathematical physics)."
Although the contents thought "the Zeta function and statistical mechanics" on October 23, since they were unlikely to suit the very younger students even if it did "muscle training of physics and mathematics," on the previous day, I decide that I would talk about references on Math. and Phys. for introduction, and created agenda hurriedly at the beginning.
("The muscle training of physical mathematics" has referred to the introduction of a Jordan canonical form, arithmetic functions, and analytic number theory, classical statistical mechanics, quantum statistical mechanics, and random walk, which I had said in the seminar "the Zeta function and statistical mechanics".)

Zeta Function and Correlation Function

Monday, December 19, 2011

A Japanese translation of F.Tanedo's BLOG articles on Quantum Diaries

Japanese version

As same as the last year, I have translated USLHC Mr. F.Tanedo's BLOG articles into Japanese and posted on my BLOG.A link is stuck on the head of a table of contents and each chapter, and the links of referring to English Wikipedia are stuck as links on Japanese version (If only there is Japanese version of it), and I have carried out it to the Web book style.

From USLHC BLOG articles II (ver 1.0)

One in the last year:
From USLHC BLOG articles I (ver 2.0)

Excuse, both of them are only Japanese!

Sunday, December 18, 2011

Zeta Function and Statistical Dynamics (seminar)

Japanese version

In 23 Oct 2011 I gave a talk about "Zeta function and statistic dynamics", which reports are posted below.
Zeta Function and Statistical Dynamics 1, Distribution of prime numbers

Zeta Function and Statistical Dynamics II 2,The origin of connection between Phys. and NT.

Zeta Function and Statistical Dynamics III 3,Various zeta functions

Zeta Function and Statistical Dynamics IV 4,Statistical Dynamics and Zeta Functions A

Zeta Function and Statistical Dynamics V 4,Statistical Dynamics and Zeta Functions B

Zeta Function and Statistical Dynamics VI appendix

The Japanese version of the appendix in "Planck's law" is more detail than the English version and I translate it into English.

The appendix of "Planck's Law"(in English)

The English version of the appendix in "Boltzmann's law" is more detail than the Japanese version and I translate it into Japanese.

The appendix of "Stefan Boltzmann law" (in Japanese)

The above two articles explain the way of the calculation of some integrals appearing in the thermo-statistical dynamics using the special value of Riemann zeta function.