University of Cambridge > Talks.cam > Algebraic Geometry Seminar > On the Chow group and the motive of a commutative algebraic group

  Browse A-Z

Log in

University Account External (via Google)

🔐 Log In

Information on

Subscribing to talksdetails Finding a talkdetails Adding a talkdetails Disseminating talksdetails Help and Documentationdetails

ℹ️ Information

On the Chow group and the motive of a commutative algebraic group

Download to your calendar using vCal

  • UserGiuseppe Ancona (Duisburg-Essen)
  • ClockWednesday 21 May 2014, 14:15-15:15
  • HouseMR 13, CMS.

If you have a question about this talk, please contact Dr. J Ross .

A classical result of Beauville shows that the action of the multiplication by n on the Chow group of an abelian variety is semisimple with finite explicit eigenvalues. This result was used by Deninger and Murre to show that the Chow motive of an abelian variety has a canonical Künneth decomposition. We will show that both results generalize to semiabelian varieties (or more generally to commutative algebraic groups). The method is different and the logical dependence changes: we will directly work with the motive and then deduce the result on the Chow group. In the talk we will recall generalities on Voevodsky’s motives, as well as several of their arithmetic and geometric applications. This is a joint work with Steven Enright-Ward and Annette Huber.

This talk is part of the Algebraic Geometry Seminar series.

This talk is included in these lists:

Note that ex-directory lists are not shown.

Other lists

Johnson Matthey Lecture Theatre, Department of Chemical Engineering & Biotechnology, Philippa Fawcett Drive, Cambridge CB3 0AS Cambridge University Engineering Department, constan Barclays Eagle Labs, Chesterton High Street

Other talks

Human monogamy in mammalian context Teams Announced Group Work Polar Oceans Seminar Talk Reproducibility In Astrophysical Simulations: The AGORA Initiative and a 14-Year Human Experiment (In Memory of Joel Primack) Rothschild Public Lecture | Forty years of causal inference: Report of a great-grandfather
 

© 2006-2025 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity