Workshop on Motives--the 2-nd
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Date: 25(Mon)-29(Fri)/Sep/2006
Place: Graduate School of Mathematics, University of Tokyo, Komaba, Meguro-ku, Tokyo, Japan,
Speakers:
M. Asakura (Kyushu University), K. Hagihara (University of Tokyo),
Y. Hashimoto (Osaka City University), A. Ikeda (Osaka University),
K. Kimura (Tsukuba University), S. Kimura (Hiroshima University),
K. Kurano (Meiji University), N. Minami (Nagoya Institute of Technology),
S. Mochizuki (University of Tokyo), A. Pal (IHES), J. Riou (Jussieu),
K. Sato (Nagoya University), T. Terasoma (University of Tokyo),
N. Yagita (Ibaraki University), G. Yamashita (RIMS), T. Yasuda (RIMS)
This workshop is supported by JSPS Core-to-Core Program "New Developments of Arithmetic Geometry, Motive, Galois Theory, and Their Practical Applications" (Coordinator Makoto Matsumoto) and JSPS (B)#17340008 "数論的多様体の$p$進的手法による研究" (representative Nobuo Tsuzuki).
Lecture Notes: Motives-2nd-LectureNotes-All.pdf
Schedule:
25(Mon)/Sept
10:00-11:00 G. Yamashita (RIMS) Review and Overview.
Motives-2nd-LectureNotes-Yamashita-1.pdf
11:15-12:15 K. Sato (Nagoya Univ.) Motivic cohomology groups with finite coefficients 1.
Motives-2nd-LectureNotes-Sato-1.pdf
13:30-14:30 Y. Hashimoto (Osaka City Univ.) Introduction to algebraic topology 1--Eilenberg-MacLane space, Steenrod algebra, Adams spectral sequence.
14:45-15:45 M. Asakura (Kyushu Univ.) Introduction to regulator.
Motives-2nd-LectureNotes-Asakura.pdf
16:00-17:00 A. Pal (IHES) The torsion of Drinfeld modules of rank two.
Motives-2nd-LectureNotes-Pal.pdf
26(Tue)/Sept
10:00-11:00 K. Sato (Nagoya Univ.) Motivic cohomology groups with finite coefficients 2.
Motives-2nd-LectureNotes-Sato-2.pdf
11:15-12:15 S. Mochizuki (Univ. of Tokyo) Reading Morel-Voevodsky 1.
Motives-2nd-LectureNotes-Mochizuki-1.pdf
13:30-14:30 Y. Hashimoto (Osaka City Univ.) Introduction to algebraic topology 2--generalized cohomology, spectrum, infinite loop space.
14:45-15:45 N. Minami (Nagoya Institute of Tech.) Symmetric Spectra (following Hovey-Shipley-Smith).
16:00-17:00 J. Riou (Jussieu) Spanier-Whitehead duality in algebraic geometry.
Motives-2nd-LectureNotes-Riou-1.pdf
27(Wed)/Sept
10:00-11:00 S. Mochizuki (Univ. of Tokyo) Reading Morel-Voevodsky 2.
Motives-2nd-LectureNotes-Mochizuki-2.pdf
11:15-12:15 G. Yamashita (RIMS) Reduced Power Operations 1.
Motives-2nd-LectureNotes-Yamashita-2.pdf
13:30-14:30 N. Yagita (Ibaraki Univ.) Milnor's primitive operations Q_i.
Motives-2nd-LectureNotes-Yagita.pdf
14:45-15:45 T. Yasuda (RIMS) motivic integrals and homological McKay correspondences.
Motives-2nd-LectureNotes-Yasuda.pdf
16:00-17:00 J. Riou (Jussieu) Operation on algebraic K-theory and regulators via the homotopy theory of schemes.
Motives-2nd-LectureNotes-Riou-2.pdf
Party
28(Thu)/Sept
10:00-11:00 G. Yamashita (RIMS) Reduced Power Operations 2.
Motives-2nd-LectureNotes-Yamashita-3.pdf
11:15-12:15 K. Hagihara (Univ. of Tokyo) related topics of Milnor-Bloch-Kato conjecture.
Motives-2nd-LectureNotes-Hagihara-1.pdf
13:30-14:30 A. Ikeda (Osaka Univ.) Algebraic cycles and differential forms.
Motives-2nd-LectureNotes-Ikeda.pdf
14:45-15:45 S. Kimura (Hiroshima Univ.) Introduction to finite dimensional motives.
Motives-2nd-LectureNotes-KimuraS.pdf
16:00-17:00 K. Kimura (Tsukuba Univ.) Nori's category of motives.
Motives-2nd-LectureNotes-KimuraK.pdf
29(Fri)/Sept
10:00-11:00 K. Hagihara (Univ.of Tokyo) proof of Milnor conjecture (1).
Motives-2nd-LectureNotes-Hagihara-2.pdf
11:15-12:15 K. Hagihara (Univ.of Tokyo) proof of Milnor conjecture (2).
Motives-2nd-LectureNotes-Hagihara-3.pdf
13:30-14:30 K. Kurano (Meiji Univ.) About the algebraic description of intersection multiplicity due to Serre.
14:45-15:45 T. Terasoma (Univ. of Tokyo) Bar construction and its application.
Motives-2nd-LectureNotes-Terasoma.pdf
In the morning session of this workshop, K. Hagihara, S. Mochizuki, K. Sato, and G. Yamashita give series lectures on Voevodsky's proof of the Milnor conjecture. In the afternoon session, experts in their areas give introductory talks for beginners. Joe"l Riou's two talks are research talks, but the half of each talk is introductory for beginners. And, Y. Hasimoto, and N. Minami give talks of introduction to homotopy theory for the theory of motives in the view of the algebraic topology. Everyone is welcome.
Organizers:
S. Kimura (Hiroshima University) 
,
A. Shiho (University of Tokyo), G. Yamashita (RIMS)
,