Mahler Measure of K3-Hypersurfaces

Speaker: Professor Marie José Bertin (Université Pierre et Marie Curie, Paris)

Time: 4:00PM
Date: Wed 10th October 2007

Location: Mathematical Sciences Seminar Room

The Mahler measure of a multivariate polynomial has been introduced by Mahler in 1962 to measure the size of factors of polynomials. Later in 1996, Deninger guessed a link between the Mahler measure of a certain polynomial defining an elliptic curve and the L-series of the curve. I plan to show several examples which illustrate how this property extends to polynomials in 3 variables defining K3-hypersurfaces.

(This talk is part of the K-Theory, Quadratic Forms and Number Theory series.)