**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)

### Algebra Seminar

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

### Hain

###### Friday 17th May, 2:30-3:20pm, Carslaw 273

###### 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.

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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

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