We thank the speakers and the audiences who attended the workshop NORTh 4 . I have enjoyed every lecture, and the series of lectures given by Professors Manivel and Sommers were just wonderful. Prof. Manivel introduced
Vogel's idea of universal Lie algebra,
which seems wild (and at the same time very attractive) to me. There are three lines in the projective plane; on one of which sl_n lives, on another one sp_n and so_n live. On the other line, all the exceptional Lie algebras including so_8 and sl_3 live. Their intersections are sl_2=sp_1 , so_8 and sl_3! Also, between E_7 and E_8, there lives E7(1/2) he told.We are planning NORTh 6 in September 2004 at Fuji-Sakura-So (a hotel near Mt. Fuji). The chief organizer is Jiro Sekiguchi (Tokyo University of Agriculture & Technology).
[Thu Mar 4 14:13:00 JST 2004]
The newest issue of Ramanujan Journal is
Rankin Memorial Issues.
Many experts of the theory of automorphic forms contribute the issue.[Thu Oct 30 09:06:43 JST 2003]
Susumu Ariki (RIMS) won the 2003 Autumn Prize of Japanese Mathematical Society.
Congratulation!
Also, Minoru Ito (Kyoto Univ.) won Takebe prize.
[Mon Sep 29 18:14:37 JST 2003]
Prof. Armand Borel died last August (2003/8). May his soul rest in peace.
There are many terms which are crowned by his name; Borel-Moore cohomology, Baily-Borel-Satake copactification, Borel-de Siebenthal chamber... Among them, Borel subgroup is probably most famous (and most elementary).
[Mon Sep 29 18:11:18 JST 2003]
Seven math departments get a big grant named COE (=Centers of Excellence) from Japanese government. Math Departments of Hokkaido, Tokyo, Nagoya, Kyoto, Osaka-City, Kyushu, Keio have won it. The grant lasts 5 years.
Among them, Kashiwara, Masaki (RIMS, Kyoto) and Uzawa, Tohru (Nagoya) are Project Leaders in their departments. The theme of the project in Nagoya Univ. is on Langlands program!
[Tue Jul 29 18:02:00 JST 2003]
The proceedings of the RIMS Workshop:
"Automorphic forms and reprsentations of algebraic groups over local fields"
(January 20-24, 2003 at RIMS) is now available online. This workshop was organized by Hiroshi Saito (Kyoto Univ.) and Tetsuya Takahashi (Osaka Prefecture Univ.).[Mon Apr 7 11:38:58 JST 2003]
Prof. Peter Slodowy died last November (2002/11). May his soul rest in peace.
[Tue Mar 18 16:31:41 JST 2003]
2001 MSJ Awards of Algebra went to
Tamotsu Ikeda (Kyoto Univ.) and Toshiaki Shoji (Science Univ. Tokyo).
Congratulations!! Yasuyuki Kawahigashi won the first award of operator algebra also.[Tue Apr 3 14:37:30 JST 2001]
Li-Paul-Tan-Zhu have determined the theta correspondence for Sp(p, q) and O^{*}(2 n) explicitly by Langlands parameter (for p + q <= n ). This is the end of the similar works for type I dual pairs (by Moeglin, Adamas, Barbasch, and Paul) for "equal rank case".
Although the description is quite complicated, these works seem to settle the problem of describing explicit theta correspondence considerably.
[Fri Dec 8 18:13:47 JST 2000]
There is an internatinal conference in honor of Prof. Schiffmann in January, 2001, in Strassbourg. It seems that it will be a very interesting conference, and many Japanese mathematicians will attend it.
[Sat Dec 9 22:02:33 JST 2000]
Prof. Mukai (Nagoya Univ.) has written two books on moduli theory (or geometric invariant theory) in Japanese. And now it is being translated into English. The contents are full of examples and very fascinating. There is no introductory textbook in geometric invariant theory other than Mumford-Forgaty-Kirwin (if one can call it a textbook). A book for beginners in this field is expected for a long time, to my impression, and now it will soon be available!!
[Sat Dec 9 21:55:52 JST 2000]
Encyclopedia of Mathematics (edited by MSJ) will be revised (4th edition) in next 4 or 5 years. It will become more comprehensive (^^;;) and the contents will be upgraded to certain extent.
[Sat Dec 9 21:48:01 JST 2000]
P. J. Sally (Chicago Univ.) won the prize of Distiguished Public Service (in AMS?). Congratulation!!
[Fri May 12 14:08:15 JST 2000]
This year (2000), we will have many textbooks of representation theory in Japanese. Mitsuo Sugiura and Takeshi Kawazoe have published books already;
- M. Sugiura, Theory of Lie groups (Mainly structure theory).
- T. Kawazoe, Harmonic analysis on Lie groups (Fourier analysis, Plancherel formula, including wavelets).
[Fri May 12 14:14:59 JST 2000]
Next year is a centenary of Oka Kiyoshi's birth. For the memorial of Oka Kiyoshi's work, there opened Oka Kiyoshi library on the Web supported by the library of Nara Women's University.
Next year, there will be a memorial workshop on the theory of functions of several variables.
[Mon Apr 24 18:33:20 JST 2000]
Hiraku Nakajima (Kyoto University) won the prize of Mathematical Society of Japan (Spring Medal).
[Mon Apr 24 18:36:50 JST 2000]
Prof. Takeshi Hirai will retire from Kyoto Univeristy this spring. He will give a memorial lecture on March 8, 2000. After that, there will be a party celebrating his new start.
Hirai's mathematical work is vast and beyond my narrow scope. However, I am convinced that he is one of pioneers of the study of global characters on semisimple Lie groups. In his earliest work, he determined the irreducible unitary representations of $ SO(n, 1) $ using character theory; and then his famous patching condition for characters was obtained.
Nowadays, his interest goes toward the representation theory of infinite dimensional groups, such as inductive limits of finite dimensional Lie groups or group of diffeomorphisms on a manifold.
[Fri Dec 24 16:16:31 JST 1999]
Sad news.
Prof. Shingo Murakami died of cancer on December 3, 1999.
He is famous for Matsushima-Murakami's formula, which gives the relation between the dimension of the cohomology of arithmetic quotients and the multiplicity of automorphic representations.
[Fri Dec 24 16:06:49 JST 1999]
When I talked with Goodman on his thick red book, he told me that there are many misprints and he gave me corrections to the book . On the first page of the corrections, he wrote
Love truth, but forgive error (Chinese proverb).
I agree with him.[Thu Aug 5 11:43:51 JST 1999]
I have visited Singapore for three weeks. It was pleasant surprise for me to find there, Prof. R. Goodman and J.-S. Li. This year, R. Howe and A. Paul visited Singapore already, and also Kobayashi will visit in December. I strongly feel that
Singapore is now becoming one of important center of representation theory.
I enjoyed many discussions with Jian-Shu, who is currently teaching in Hong Kong University of Science and Technology.[Thu Aug 5 11:33:38 JST 1999]
There is an international conference on fundamental sciences in Singapore next year. However, you should note that many mathematicians
including specialists of representation theory
will give plenary talks. For example, R. Howe, D. Vogan, Sarnack, J.-S. Li will give talks.[Thu Aug 5 11:30:03 JST 1999]
Sad news of Rota's death: obituary.
[Thu Apr 22 14:19:23 JST 1999]
The 1999 Spring Award of Mathematical Society Japan is won by
Toshiyuki Kobayashi (Tokyo Univ.)
The award is given to his excellent works on discrete decomposition of unitary representations of semisimple Lie groups.
In 1998, Hideko Sekiguchi (Kobe Univ.) also won the Takebe-Kenko Award under the title of "Representation theoretic approach to the system of differential equations arising from Penrose transformations". Congratulation to Hieko and Toshi!
[Mon Mar 29 18:20:12 JST 1999]
Here are lecturers of Lie group and Lie algebra session of ICM '98 . Invited speakers are: Arthur, Bernstein, Cherednik, Wakimoto, ... In plenary talk , Miwa and Macdonald will give lectures. (1998/6/6)
In this spring, several Japanese mathematicians working in representation theory change their university. According to my own information:
- K. Taniguchi (graduated University of Tokyo) gets job in Aoyama Gakuin University.
- H. Ochiai moves to Kyushu University from Rikkyo.
- T. Uzawa moves to Rikkyo University from Tohoku.
- A. Gyoja moves to Nagoya University from Kyoto.
- Ikeda (graduated Tohoku University) gets job in Okayama Science University.
Once I said "dual reductive pair" in my lecture, which Prof. R. Howe (his thesis advisor) attended. He immediately commented asI am not so sure which I used in my lectures. Please correct your memory and replace all "dual reductive pair" to "reductive dual pair".Please call it reductive dual pair.
Prof. H. Rubenthaler visited Kyoto this week. Now it becomes to be known that he has a Japanese name in Chinese characters. Here is his stamp in Chinese characters. (^^;; ('96/11/8)
Springer Tokyo will publish Prof. Hironaka's book on the resolution of singularities (in Japanese). Another titles are books on algebraic geometries to be written by Shihoko Ishii, and Isao Naruki; number theory to be written by Kazuya Kato. Also translation of Klein's book on the icosahedron, by Jiro Sekiguchi (translator), will appear soon. ('96/10/31)
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