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Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Arithmetic Study Group: The Abel-Jacobi/regulator map for higher Chow groups

Presented by Matthew Kerr, Durham University

17 January 2008 14:15 in E102

We discuss an explicit formula for a map from the motivic cohomology of
an algebraic variety to its rational Deligne homology. This generalizes the
Abel-Jacobi map of Griffiths to (essentially) certain "relative algebraic
cycles" living over X. We will work out some simple (but interesting)
examples related to polylogarithms and hypergeometric integrals. While
arithmetic issues are necessarily involved, the flavor of the talk will
be primarily algebro-geometric (in characteristic 0).

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