Workshop on Motives--the 3-rd

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Date: 2(Mon)-6(Fri)/July/2007
Place: Graduate School of Mathematics, University of Tokyo, Komaba, Meguro-ku, Tokyo, Japan,


Speakers:
T. Geisser (USC), K. Hagihara (University of Tokyo), R. Hazrat (Queen's University),
Y. Hoshi (RIMS), T. Ito (Kyoto University), S.-J. Kang (Purdue University),
S. Kimura (Hiroshima University), S. Lichtenbaum (Brown University),
N. Otsubo (Chiba University), A. Pal (Imperial College),
K. Sato (Nagoya University), Y. Takeda (Kyushu University),
A. Rosenschon (University of Alberta), T. Torii (Okayama University),
A. Tsuchiya (Nagoya University), G. Yamashita (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), JSPS (A)#19204002 "数論・幾何の新展開:数論的トポロジー、圏論的数論幾何、アルゴリズム" (representative 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).

Poster

Schedule:

2(Mon)/July
10:00-11:00 S. Kimura(Hiroshima Univ.), Hodge Conjecture: rudimentary introduction
11:30-12:30 T. Geisser(USC), Homotopy theory of schemes I
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14:00-15:00 K. Sato(Nagoya Univ.), On special values of Hasse-Weil zeta functions over finite fields
15:30-16:30 N. Otsubo(Chiba Univ.), On the motivic logarithmic sheaves

3(Tue)/July
10:00-11:00 T. Ito(Kyoto Univ.), Introduction to Tate's conjecture I
11:15-12:15 G. Yamashita(RIMS), An introduction to Kimura-O'Sullivan's finite dimensionality of pure motives I
13:30-14:30 A. Tsuchiya(Nagoya Univ.), from Complex Cobordism to Morava K theory before Quillen
14:45-15:45 T. Torii(Okayama Univ.), from Complex Cobordism to Morava K theory after Quillen-I
16:00-17:00 T. Torii(Okayama Univ.), from Complex Cobordism to Morava K theory after Quillen-II

4(Wed)/July
10:00-11:00 T. Geisser(USC), Homotopy theory of schemes II
11:15-12:15 T. Ito(Kyoto Univ.), Introduction to Tate's conjecture II
13:30-14:30 S.-J. Kang(Purdue Univ.), On the Generalized Hodge conjecture
14:45-15:45 R. Hazrat(Queen's Univ.), K-theory of Azumaya algebras
16:00-17:00 A. Pal(Imperial College), A p-adic Langlands correspondence in characteristic p
Reception

5(Thu)/July
10:00-11:00 K. Hagihara(Univ. of Tokyo), A^1-algebraic topology I
11:15-12:15 S. Kimura(Hiroshima Univ.), Motives and Hodge Conjecture
13:30-14:30 Y. Takeda(Kyushu Univ.), Zagier conjecture and explicit regulator maps I
14:45-15:45 Y. Takeda(Kyushu Univ.), Zagier conjecture and explicit regulator maps II
16:00-17:00 A. Rosenschon(Univ. of Alberta), TBA

6(Fri)/July
10:00-11:00 G. Yamashita(RIMS), An introduction to Kimura-O'Sullivan's finite dimensionality of pure motives II
11:30-12:30 K. Hahigara(Univ. of Tokyo), A^1-algebraic topology II
14:00-15:00 Y. Hoshi(RIMS), Cuspidalizations of fundamental groups of configuration spaces
15:30-16:30 S. Lichtenbaum(Brown Univ.), TBA

Organizers:
T. Geisser (USC), S. Kimura (Hiroshima University) ,
A. Shiho (University of Tokyo), G. Yamashita (RIMS),