### A Newton Institute Workshop

### During the programme on Arithmetic Geometry (organizers
J-L Colliot-Thélène, J Nekovár, C Soulé) at
the Newton Institute (Cambridge, UK),

## Arithmetic of Algebraic Cycles and Motivic Cohomology

### 23 - 28 February 1998

*Organizers: JJ-L Colliot-Thélène and U Jannsen*

**Monday 23 February**

09.00-11.00 **Registration **

11.00-11.30 **Coffee **

11.30-12.30 **C Schoen ***(Duke) *

A variety for which the Chow group mod n is not finite

12.30-14.00 **Lunch **

15.30-16.30 **H Esnault ***(U. Essen) *

Chern-Simons classes and Riemann-Roch theorem for flat vector bundles

16.30-17.00 **Tea **

17.00-18.00** V Suresh ***(Tata Institute, Mumbai)*

Zero-cycles on quadric fibrations

18.00-19.00 **Wine Reception **

**Tuesday 24 February**

10.00-11.00 **B Kahn ***(CNRS, U. Paris 7)*

A spectral sequence for geometrically cellular varieties

11.00-11.30 **Coffee **

11.30-12.30 **A Collino ***(U. Torino)*

Indecomposable motivic cohomology classes on quartic surfaces and on cubic
fourfolds

12.30-14.00 **Lunch **

14.00-15.00 **V Voevodsky ***(Northwestern University, Chicago)*

Triangulated category of motives over Spec(z)

15.30-16.30 **R Sreekantan ***(U. Chicago)*

K$_1$ and abelian surfaces

16.30-17.00 **Tea **

17.00-18.00 **R Laterveer ***(CNRS, IRMA, Strasbourg)*

Codimension 2 algebraic cycles

18.00-19.00 **Pancake Party**

**Wednesday 25 February**

10.00-11.00 **T Geisser ***(U. Essen & U. Urbana-Champaign)*

The K-theory of fields in characteristic p

11.00-11.30 **Coffee **

11.30-12.30 **V Srinivas ***(Tata Institute, Mumbai)*

Zero-cycles on singular projective varieties

12.30-14.00 **Lunch **

18.00- **Reception at Cambridge University Press**

**Thursday 26 February**

10.00-11.00 **B Totaro ***(U. Chicago)*

Chow rings of classifying spaces

11.00-11.30 **Coffee **

11.30-12.30 **S Mueller-Stach*** (U. Bayreuth and GH Essen)*

Polylogarithmic identities in cubical higher chow groups

12.30-14.00 **Lunch **

14.00-15.00 **M Rost*** (U. Regensburg)*

Constructions of norm varieties

15.30-16.30 **M Hanamura ***(U. Kyushu)*

Intersection motivic cohomology

16.30-17.00 **Tea **

17.00-17.30** K Kimura** *(U. Tsukuba)*

Modified diagonal cycle and the special value of an L*-function*

17.45-18.15 **A Rosenschon*** (U. Maryland)*

Indecomposable elements in $K_1$ of a smooth projective variety

**Friday 27 February**

10.00-11.00 **W Raskind **(*USC, Los Angeles*)

*p-adic intermediate Jacobians *

11.00-11.30 **Coffee **

11.30-12.30 **N Otsubo ***(Graduate School of Math. Sci, U. Tokyo)*

Selmer groups and zero-cycles on the Fermat quartic surface

12.30-14.00 **Lunch **

14.00-15.00 **M Spiess*** **(U. Heidelberg)*

A construction of indecomposable elements of $K_1$ of a product of elliptic
curves

15.30-16.30 **H Gillet **(*UIC*)

*Comparison of filtrations on algebraic K-theory *

16.30-17.00 **Tea **

17.00-18.00 **S Saito **(*Tokyo Institute of Technology*)

* Filtration on Chow groups and generalized Abel-Jacobi map*