Tetsushi Ito's webpage

.

Tetsushi Ito
Associate Professor
Department of Mathematics, Faculty of Science,
Kyoto University, Kyoto 606-8502, Japan
TEL : +81-75-753-3700, FAX : +81-75-753-3711 (Math. Dept.)
E-mail :
Picture of Ito (Hucho perryi)

• The Joint Number Theory Seminar at Kyoto Univ (informal webpage, in Japanese)

• What's New
• Seminars
• Announcement
• About lectures
• Workshop
• Publication
• About me

What's New

• I wrote an expository article in sugaku seminar. "The Riemann hypothesis for congruence zeta functions and its development and influence", Sugaku seminar, November, 2009 (to appear).
• I wrote a (short) article in sugaku seminar. "News flash: Finally, The Sato-Tate conjecture is completely proved(?!)", Sugaku seminar, pp. 34-35, September, 2009.

Note : The following is just a personal list of workshops. It is not complete at all. I will be an organizer or speaker of some of them, but I am not concerned with most of them. The information of workshops which I will not participate in or am not planning to do so is also included. For details, please look at the official webpage of each workshop.

• November 21(Sat) - 23(Mon), 2009 : The seventh Takagi Lectures, Graduate School of Mathematical Sciences, The University of Tokyo, Tokyo, Japan --- This times the Takagi lecture is given to commemorate the 50th anniversary of the death of Teiji Takagi, the creator of the Class Field Theory and the father of modern mathematical research in Japan. It is larger than usual (5 invited speakers including 3 number theorists).

• November 24(Tue) - 27(Fri), 2009 : Workshop on Arithmetic Geometry in Kanazawa, Ishikawa prefecture bunkyo hall, Kanazawa, Japan [Note : We changed the schedule in order to avoid an overlap with "Takagi Lecture".] --- Registration is required because the number of seats in the lecture room is strictly limited. I made a Japanese version of the webpage. (Last update: Sun, September 20, 2009).

• February 5-14, 2010 : Fundamental Lemma and Hitchin Fibration, Kurashiki seaside hotel, Japan.
• July 24-30 (?), 2010 : Summer school on GL(n), Kurashiki(?), Japan.
• November 22-26, 2010 : Workshop on mod p & p-adic Langlands Functoriality (for Young Researchers) ?? , ???

Seminars

• My schedule of the seminars (2009, winter) (in Japanese)
• The Joint Number Theory Seminar at Kyoto Univ (informal webpage, in Japanese) It is organized by Math Dept and RIMS. I am one of the organizers of the seminar. The seminars will be held at 13:30--14:30 on Fridays. For the precise information, see, for example, the bulletin board of math dept.
• 2009 Winter Semester : Seminar series "Shimura curves and p-adic L-functions" (6 lectures) (in Japanese), graduate course level, Dept of Math, Kyoto Univ., Speaker : Masataka Chida (Kyoto Univ), Date: Oct 6(Tue), 13(Tue), 20(Tue), Nov 3(Tue), 10(Tue), 17(Tue), 13:00-15:00 (Exception: No seminar in the week of Oct 27(Tue)) [The schedule was changed.]
• 2009 Winter Semester (Oct-Feb) : Lecture series - "Automorphic representations of GL(n)" (graduate course level), Dept of Math, Kyoto Univ. [Details are not yet fixed??]

Announcement

"Kono teiri ga utsukushii" (These are beautiful theorems) is now published (in Japanese) by Sugakushobo. Many introductory articles on beautiful theorems are included in this book. I am one of the 20 authors. I wrote an introductory article on "Hasse's theorem" on the number of rational points on elliptic curves over finite fields.

Sugakushobo (publisher)

Sugaku-no-Tanoshimi (Have Fun with Mathematics) 2008 is now published (in Japanese). Many articles concerning the Sato-Tate conjecture are included in this volume. I wrote articles on elliptic curves, outline of the proof of the Sato-Tate conjecture, and Galois deformation theory.

Kame-shobo (editor)
Nippon-Hyoron-Sha Co., Ltd. (publisher)
Search with amazon.co.jp

About lectures

Kyoto University, Department of Mathematics, 2009

• Full-year : "Linear Algebra A & B", for students in the Faculty of Science,
• Summer semester (first half) : "Development from Basic Mathematics A", for students in the Faculty of Science, --- I plan to explain the arithmetic of elliptic curves.
• Full-year : "Algebra Seminar for 4th year students (Daisu-gaku Kokyu)", textbook : A. Weil, "Basic Number Theory", (Springer Classics in Mathematics), Springer-Verlag, 1995.

Kyoto University, Department of Mathematics, 2010

• Full-year : "Linear Algebra A & B", for students in the Faculty of Science,
• Fall semester : "Number Theory I", for fourth-year & graduate students --- I don't yet decide what I will teach. Probably I will talk on some topics from arithmetic geometry (e.g. etale cohomology, Shimura varieties...).

Kyoto University, Department of Mathematics, 2008

• Fall semester : "Algebra Seminar for 3rd year students (Daisu-gaku Engi II)", Textbook : J. Neukirch, "Algebraic Number Theory", (Grundlehren Der Mathematischen Wissenschaften), Springer-Verlag, 1999 (English version).
• Fall semester : "Number Theory I", for fourth-year & graduate students --- I explained basics on non-abelian class field theory (e.g. Galois representations, Langlands correspondences, etc.)．

For details, see the Webpage of Lectures (in Japanese).

Workshop

in the past

• Mini-workshop on Automorphic Representations and Shimura Varieties (in English), May 30 - May 31, 2007, Location : Department of Mathematics, Kyoto Universit (Room : 552).
• Workshop on the Sato-Tate conjecture (in Japanese), January 24 - 26, 2007, Tokyo Institue of Technology, Lecture notes : See Sugaku-no-Tanoshimi 2008.
• Workshop on Shimura Varieties, Automorphic Representations and Related Topics (in English), Department of Mathematics, Kyoto University, November 25 (Tue) - 28 (Fri), 2008, Organizers : Kazuya Kato (Kyoto), Tetsushi Ito (Kyoto). (Program (PDF version, in Japanese))
• Ehime Number Theory Workshop (in English), Department of Mathematics, Faculty of Science, Ehime University, February 17(Tue) - 20(Fri), 2009. Room : 303 (17th), The large conference room (18th-20th), Organizers : Tetsushi Ito (Kyoto), Takashi Taniguchi (Kobe), Miki Hirano (Ehime) (Program (PDF version, in Japanese))

• March 26, 2009 : I will give a lecture on the "Solution of the Sato-Tate Conjecture and Beyond --- Recent Developments in Non-abelian Class Field Theory ---" at the annual meeting of the Mathematical Society of Japan held in the University of Tokyo(Finished). Here is an abstract of my lecture : PDF (in Japanese, 15 pages). Here is the PDF file of the slides of my lecture : PDF (in Japanese, 38 pages). For details, see the webpage of the annual meeting of MSJ (2009, March) (in Japanese) and the webpage of MSJ (in English). (p.s. Later, the streaming video of the lecture will be availale on the webpage of MSJ.)

• April 2 (Thu), 2009 : Mini-workshop on Iwasawa Theory (in English), Department of Mathematics, Kyoto University, April 2 (Thu), 2009, Organizer : Tetsushi Ito (Kyoto). (Program (PDF version, in Japanese)) (Finished)

• May 20 (Wed) - 23 (Sat), 2009 : Geometric Methods in Representation Theory and Applications (Study meeting on the representation theory of affine Hecke algebras), Kyushu University, Faculty of Mathematics, Speaker : Noriyuki Abe (Tokyo), Yoichi Mieda (Kyushu), Tetsushi Ito (Kyoto, organizer). [The details will be fixed later. Please ask me if you are interested.] (Finished)
• June 17 (Wed) - 20 (Sat), 2009 : Geometric Methods in Representation Theory and Applications (Study meeting on the representation theory of affine Hecke algebras) Part 2, Kyoto University, Department of Mathematics, Speaker : Noriyuki Abe (Tokyo), Yoichi Mieda (Kyushu), Tetsushi Ito (Kyoto, organizer). [The details will be fixed later. Please ask me if you are interested.](Finished)

• July 6-10, 2009 : Journees de Geometrie Arithmetique de Rennes 2009,Rennes, France.
• July 13-17, 2009 : p-adic Hodge theory, p-adic modular forms and applications, Roscoff, France --- I will give a talk there.
• July 21-24, 2009 : Workshop on Automorphic Representations, Geometry, and Arithmetic, National Taiwan University, Taipei --- I will give a talk there.

• July 28-31, 2009 : I and Masataka Chida will organize a workshop on "p-adic Automorphic Forms and Arithmetic Geometry" at Kesennuma-Oshima, Miyagi, Japan.(Finished)
• August 3(Mon) - 6(Thu) : The 54th Algebra Symposium (in Japanese), Meiji Univ.
• August 10(Mon) - 13(Thu) : Study Work Shop 2009 - "Towards ramification theory of automorphic representations: explicit calculation of ε-factors" (in Japanese), Dept of Math, Kyoto Univ.

• September 2 (Wed) - 4 (Fri), 2009 : Algebraic Geometry and Related Fields, Room 3-309, Faculty of Science Building #3, Hokkaido University (Organizer: Daisuke Matsushita (Hokkaido University), Takuro Abe (Kyoto University)) --- I will give a talk there.(Finished)
• September 7(Mon) - 11(Fri) : The 12nd Hakuba Number Theory Autumn workshop, Hakuba village, Nagano pref, Hakuba High Mount Hotel --- I will participate in it.(Finished)

Publication

Mathematical Writings in Japanese

• (PDF) Cohomology theory and Motives, lecture note based on the author's lectures (Sep 4-7, 2006), Summer school on Number theory in Sapporo, August-September 2006, Hokkaido Univ.
• (PDF) Number theoretic front : "Arithmetic Geometry of Elliptic curves" --- Fermat's Last Theorem, Taniyama-Shimura conjecture, Sato-Tate conjecture, and..., slides of the talk at the "Galois festival" (Dept. Math., Kyoto Univ., May 25, 2007)
• (PDF) On the bad reduction of Shimura varieties, The 51st symposium on algebra, August 2006, Univ. of Tokyo.
• (PDF) Hasse invariants for some unitary Shimura varieties and applications, RIMS workshop "Automorphic representations, L-functions, and Periods", January 2006, RIMS, Kyoto Univ.

Mathematical Writings in English

• (PDF) On motives and l-adic Galois representations associated to automorphic representations of GSp(4), The 9th Autumn Workshop on Number Theory, November 6-10, 2006, Hakuba Highmount Hotel, Hakuba, Nagano, Japan.

Refereed Papers

1. Ito, T., On the Manin-Mumford conjecture for abelian varieties with a prime of supersingular reduction, Proc. Amer. Math. Soc. 134 (2006), 2857-2860.
2. Ito, T., Weight-monodromy conjecture over equal characteristic local fields, Amer. J. Math. 127 (2005), no. 3, 647--658.
3. Ito, T., Weight-monodromy conjecture for p-adically uniformized varieties., Invent. Math. 159 (2005), no. 3, 607--656.
4. Ito, T., Stringy Hodge numbers and p-adic Hodge theory, Compos. Math. 140 (2004), no. 6, 1499--1517.
5. Ito, T., Weight-monodromy conjecture for certain threefolds in mixed characteristic, Int. Math. Res. Not. 2004, no. 2, 69--87.
6. Ito, T., Birational smooth minimal models have equal Hodge numbers in all dimensions, Calabi-Yau varieties and mirror symmetry (Toronto, ON, 2001), 183--194, Fields Inst. Commun., 38, Amer. Math. Soc., Providence, RI, 2003.

About me