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

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