Date: 19(Mon)-22(Thu)/Dec/2005

Place: Room 052, Graduate School of Mathematics, University of Tokyo, Komaba, Meguro-ku, Tokyo, Japan,

Organizer:

T. Geisser (USC), S. Kimura (Hiroshima University), G. Yamashita (University of Tokyo)

Financial support: JSPS (B)#17340008 "数論的多様体の$p$進的手法による研究"(representative:Nobuo Tsuzuki),

Speakers:

H. Furusho (Nagoya University)

T. Geisser (USC)

K. Hagihara (University of Tokyo)

M. Hanamura (Tohoku University)

L. Hesselholt (MIT)

S. Kimura (Hiroshima University)

S. Mochizuki (University of Tokyo)

S. Saito (University of Tokyo)

K. Sato (Nagoya University)

A. Shiho (University of Tokyo)

N. Takahashi (Hiroshima University)

G. Yamashita (University of Tokyo)

T.Yamazaki (Tsukuba University)

T. Yasuda (RIMS)

Schedule:

19(Mon)/Dec

9:30-10:30: S. Kimura (Hiroshima Univ.) Mumfordの反例, Bloch予想, Bloch-Beilinson予想.

11:00-12:00: G. Yamashita (Univ. of Tokyo) Introduction to Voevodsky's category of mixed motives 1.

13:30-14:30: N. Takahashi (Hiroshima Univ.) Motivic Zeta の紹介.

15:00-16:00: K. Sato (Nagoya Univ.) Bloch-Kato conjecture and Beilinson-Lichtenbaum conjecture.

16:30-17:30: S. Saito (Univ. of Tokyo) Overview on finiteness results for motivic cohomology.

20(Tue)/Dec

9:30-10:30: T. Geisser (USC) Motivic cohomology and special values of zeta-functions.

11:00-12:00: K. Hagihara (Univ. of Tokyo) Introduction to Voevodsky's category of mixed motives 2.

13:30-14:30: T. Yasuda (RIMS) モティヴィック積分概論.

15:00-16:00: A. Shiho (Univ. of Tokyo) On (Hodge realization of) polylogarithm.

16:30-17:30: S. Mochizuki (Univ. of Tokyo) The category of mixed Tate motives.

21(Wed)/Dec

9:30-10:30: S. Kimura (Hiroshima Univ.) Chow homology, Chow cohomology.

11:00-12:00: K. Hagihara (Univ. of Tokyo) Introduction to Voevodsky's category of mixed motives 3.

13:30-14:30: L. Hesselholt (MIT/Nagoya Univ.) An introduction to model categories.

15:00-16:00: G. Yamashita (Univ. of Tokyo) The category of mixed Tate motives over the ring of integers.

16:30-17:30: T. Yamazaki (Tsukuba Univ.) Chow motive of a product of curves and Milnor $K$-groups.

22(Thu)/Dec

9:30-10:30: T. Geisser (USC) TBA.

11:00-12:00: K. Hagihara (Univ. of Tokyo) Introduction to Voevodsky's category of mixed motives 4.

13:30-14:30: H. Furusho (Nagoya Univ.) Grothendieck-Teichmuller group.

15:00-16:00: M. Hanamura (Tohoku Univ.) Comparison of motivic theories.

The main theme of this workshop is to understand the theory of mixed motives due to Voevodsky.

This workshop is the first time of series of workshops, so lectures are introductory.

Researchers on other areas and undergraduate students are heartily welcomed.