SMS scnews item created by John Enyang at Sat 11 May 2013 1255
Type: Seminar
Distribution: World
Expiry: 18 May 2013
Calendar1: 17 May 2013 1430-1520
CalLoc1: Carslaw 273
Auth: enyang@penyang.pc (assumed)

# The Beauville splitting of the Chow groups of the Jacobian of a general curve

### Hain

###### Speaker:

Dick Hain (Duke University)

###### Title:

The Beauville splitting of the Chow groups of the Jacobian of a general curve

###### Abstract:

Beauville showed that the Chow ring (tensored with the rationals) of an abelian variety splits into eigenspaces under multiplication by an integer $$m>1$$. It it not well understood how many of these eigenspaces can be non-zero. In this talk I will give a preliminary report on work whose goal is to show that almost all eigencomponents of the class of a general curve (of sufficiently high genus) in its Jacobian are non-zero. This work makes essential use of recent work of Church and Farb on the homology of Torelli groups.

---------------------------------------------------------------------------------------

We will take the speaker to lunch before the talk.

See the Algebra Seminar web page for information about other seminars in the series.

John Enyang John.Enyang@sydney.edu.au

If you are registered you may mark the scnews item as read.
School members may try to .