THEMATIC PROGRAMS

December 23, 2024

Thematic Program on Geometric Applications of Homotopy Theory

March 19 - 23, 2007
Motives and Algebraic Cycles, A Conference Dedicated to the Mathematical Heritage of Spencer J. Bloch

Organizers: Rob de Jeu (Amsterdam), James D. Lewis (Alberta)
Co-organized by the Clay Mathematics Institute, David Ellwood (CMI)
Supported by

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OVERVIEW

Spencer J. Bloch has had a substantial impact on, in particular, algebraic K-theory, algebraic cycles and motives. This conference will serve as a tribute to part of his work, concentrating on motives and algebraic cycles. Some of the speakers will discuss Bloch's work in those areas, most will talk about recent developments in those or related fields.

SPEAKERS:
Abstracts

Alexander A. Beilinson (University of Chicago) Kazuya Kato (Kyoto University)
Spencer Bloch (University of Chicago) Marc Levine (Northeastern University)
Hélène Esnault (Universität Duisburg-Essen) Stephen Lichtenbaum (Brown University)
Eric M. Friedlander (Northwestern University) Arthur Ogus (University of California, Berkeley)
Henri Gillet (University of Illinois at Chicago) Wayne Raskind (U.S.C.)
Alexander Goncharov (Brown University) Takeshi Saito (University of Tokyo)
Luc Illusie (Universite Paris-Sud) Chad Schoen (Duke University)
Uwe Jannsen (Universitat Regensburg) Tony Scholl (University of Cambridge)
Bruno Kahn (Université Paris 7) Vasudevan Srinivas (Tata Institute of Fundamental Research)

SCHEDULE:

Monday, March 19
9:30 - 10:30 Eric M. Friedlander
Musings about algebraic cycles modulo algebraic equivalence
10:30 - 11:00 Coffee
11:00 - 12:00 Arthur Ogus
Functoriality of the Cartier transform
12:00 - 1:30 Lunch
1:30 - 2:30 Spencer Bloch
Mixed Hodge structures and motives in physics
2:30 - 3:00 Coffee
3:00 - 4:00 Alexander Goncharov
Motivic fundamental groups of curves and Feynman integrals
Tuesday, March 20
9:30 - 10:30 Hélène Esnault
Remarks and questions on coniveau
10:30 - 11:00 Coffee
11:00 - 12:00 Uwe Jannsen
Finiteness of motivic cohomology and resolution of singularities
12:00 - 1:30 Lunch
1:30 - 2:30 Chad Schoen
Some surfaces of general type in abelian varieties
2:30 - 3:00 Coffee
3:00 - 4:00

Vasudevan Srinivas
Oriented intersection multiplicities

6 p.m. Reception and Dinner @ UofT Faculty Club
On Tuesday, March 20, there will be a banquet in honour of Spencer J. Bloch at the University of Toronto Faculty Club.
Reception 6-7 p.m (cash bar)
Dinner: 7 p.m.
Please contact homotopy@fields.utoronto.ca or 416 3489710 ext. 3016 to reserve a ticket @$60 each. Please indicate if you require a vegetarian meal when reserving. **All tickets must be picked up and paid for at Fields by Monday March 19.**
Wednesday, March 21
9:30 - 10:30 Marc Levine
Motivic Postnikov towers
10:30 - 11:00 Coffee
11:00 - 12:00 Alexander A. Beilinson
Towards a motivic descent
Free afternoon  
Thursday, March 22
9:30 - 10:30 Stephen Lichtenbaum
The conjecture of Birch and Swinnerton-Dyer is misleading
10:30 - 11:00 Coffee
11:00 - 12:00 Wayne Raskind
p-adic intermediate Jacobians
12:00 - 1:30 Lunch
1:30 - 2:30 Kazuya Kato
Non-commutative Iwasawa theory and Hilbert modular forms
2:30 - 3:00 Coffee
3:00 - 4:00 Tony Scholl
Some Eisenstein series
Friday, March 23
9:30 - 10:30 Henri Gillet
Arithmetic intersection theory on stacks
10:30 - 11:00 Coffee
11:00 - 12:00 Bruno Kahn
Questions on weights and Albanese varieties
12:00 - 1:30 Lunch
1:30 - 2:30 Luc Illusie
On Gabber's recent work in \'etale cohomology
2:30 - 3:00 Coffee
3:00 - 4:00 Takeshi Saito
Wild ramification and the characteristic cycle of an l-adic etale sheaf




Apply to the Program

All scientific events are open to the mathematical sciences community. Visitors who are interested in office space or funding are requested to apply by filling out the application form. Additional support is available (pending NSF funding) to support junior US visitors to this program.

Applications for such support from all qualified candidates, particularly women, aboriginal peoples, persons with disabilities and members of visible minorities are strongly encouraged, and can be made using the on-line form.

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