Workshop on Motives--the 1-st
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Date: 19(Mon)-22(Thu)/Dec/2005
Place: Room 052, Graduate School of Mathematics, University of Tokyo, Komaba, Meguro-ku, Tokyo, Japan,
With financial supports of JSPS (B)#17340008 "数論的多様体の$p$進的手法による研究"(representative:Nobuo Tsuzuki),
we will hold a workshop as follows.
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)
Lecture Notes: Motives-1st-LectureNotes-All.pdf
Schedule:
19(Mon)/Dec
9:30-10:30: S. Kimura (Hiroshima Univ.) Mumfordの反例, Bloch予想, Bloch-Beilinson予想.
Motives-1st-LectureNotes-Kimura-1.pdf
11:00-12:00: G. Yamashita (Univ. of Tokyo) Introduction to Voevodsky's category of mixed motives 1.
Motives-1st-LectureNotes-Yamashita-1.pdf
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.
Motives-1st-LectureNotes-Sato.pdf
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.
Motives-1st-LectureNotes-Geisser-1.pdf
11:00-12:00: K. Hagihara (Univ. of Tokyo) Introduction to Voevodsky's category of mixed motives 2.
Motives-1st-LectureNotes-Hagihara-1.pdf
13:30-14:30: T. Yasuda (RIMS) モティヴィック積分概論.
Motives-1st-LectureNotes-Yasuda.pdf
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.
Motives-1st-LectureNotes-Mochizuki.pdf
Reception
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.
Motives-1st-LectureNotes-Hagihara-2.pdf
13:30-14:30: L. Hesselholt (MIT/Nagoya Univ.) An introduction to model categories.
Motives-1st-LectureNotes-Hesselholt.pdf
15:00-16:00: G. Yamashita (Univ. of Tokyo) The category of mixed Tate motives over the ring of integers.
Motives-1st-LectureNotes-Yamashita-2.pdf
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.
Motives-1st-LectureNotes-Geisser-2.pdf
11:00-12:00: K. Hagihara (Univ. of Tokyo) Introduction to Voevodsky's category of mixed motives 4.
Motives-1st-LectureNotes-Hagihara-3.pdf
13:30-14:30: H. Furusho (Nagoya Univ.) Grothendieck-Teichmuller group.
15:00-16:00: M. Hanamura (Tohoku Univ.) Comparison of motivic theories.
Motives-1st-LectureNotes-Hanamura.pdf
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.
Organizer:
T. Geisser (USC), S. Kimura (Hiroshima University) 
,
G. Yamashita (University of Tokyo) 
,