Workshop on Motives 2008

Date: 15(Mon)-19(Fri)/December/2008
Place: Graduate School of Mathematics, University of Tokyo, Komaba, Meguro-ku, Tokyo, Japan,

Organizing Committee:
T. Geisser (USC), S. Kimura (Hiroshima University) ,
K. Sato (Nagoya University), A. Shiho (University of Tokyo), G. Yamashita (Nottingham)

Speakers:
Paul Balmer(UCLA),
Eric Friedlander(USC),
Christian Haesemayer(UCLA),
Kei Hagihara(University of Tokyo),
Lars Hesselholt(Nagoya Univ.),
Moritz Kerz(Universitat Regensburg),
Satoshi Kondo(IPMU),
Fabien Morel(Universitat Munchen),
Andreas Rosenschon(Universitat Munchen),
Alexander Vishik(University of Nottingham),
Charles Weibel(Rutgers University)

This workshop is supported by

JSPS GCOE "The research and training center for new development in mathematics" (Leader Yujiro Kawamata),
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).

Schedule(tentative):

15(Mon)/Dec
10:00-11:00 Fabien Morel(Univ. Munchen) "Introduction to $\pi_0(\A^1)$ and $\pi_1^{A^1}$, basic examples"
11:30-12:30 Kei Hagihara(Univ. of Tokyo) "Motivic cohomology and the category DM (after Voevodsky)"
14:00-15:00 Charles Weibel(Rutgers Univ.) "The proof of Bloch-Kato conjecture"
15:30-16:30 Paul Balmer(UCLA) "Tensor triangular geometry"
16:45-17:45 Satoshi Kondo(IPMU) "Computing two motivic cohomology groups of a scheme over a finite field"

16(Tue)/Dec
10:00-11:00 Fabien Morel(Univ. Munchen) "$\pi_0^{A^1}$, cohomology invariants and Galois cohomology"
11:30-12:30 Charles Weibel(Rutgers Univ.) "The proof of Bloch-Kato conjecture"
14:00-15:00 Christian Haesemeyer(UCLA) "On the K-theory of singular varieties"
15:30-16:30 Andreas Rosenschon(Univ. Munchen) "K_1 of curves"
16:45-17:45 Eric Friedlander(USC) "Algebraic cocycle spaces"
Party

17(Wed)/Dec
10:00-11:00 Paul Balmer(UCLA) "Tensor triangular geometry"
11:30-12:30 Charles Weibel(Rutgers Univ.) "The proof of Bloch-Kato conjecture"

18(Thu)/Dec
10:00-11:00 Fabien Morel(Univ. Munchen) "$\pi_1^{A^1}$, $A^1$-h-cobordism and smooth varieties up to $A^1$-homotopy"
11:30-12:30 Charles Weibel(Rutgers Univ.) "The proof of Bloch-Kato conjecture"
14:00-15:00 Christian Haesemeyer(UCLA) "On the K-theory of singular varieties"
15:30-16:30 Moritz Kerz(Univ. Regensburg) "Kato's Hasse principle revisited"
16:45-17:45 Alexander Vishik(Univ. of Nottingham) "Operations in Algebraic Cobordism I"

19(Fri)/Dec
10:00-11:00 Paul Balmer(UCLA) "Tensor triangular geometry"
11:30-12:30 Charles Weibel(Rutgers Univ.) "The proof of Bloch-Kato conjecture"
14:00-15:00 Christian Haesemeyer(UCLA)"On the K-theory of singular varieties"
15:30-16:30 Alexander Vishik(Univ. of Nottingham) "Operations in Algebraic Cobordism II"
16:45-17:45 Lars Hesselholt(Nagoya Univ.) "The vanishing of negative K-groups in positive characteristic"