Quebec Mathematical Sciences Colloquium

February 4, 2011 from 16:00 to 18:00 (Montreal/Miami time) On location

Mahler measure as special values of $L$-functions

Colloquium presented by Matilde Lalin

The Mahler measure of an $n$-variable polynomial $P$ is the integral of $log|P|$ over the $n$-dimensional unit torus $T^n$ with respect to the Haar measure. Moreover, it is often connected to special values of $L$-functions. These conections can often be explained in terms of number theoretic statements that relate L-functions to periods (such as Beilinson's conjectures). We are going to explore examples of these relationships.


CRM, UdeM, Pav. André-Aisenstadt, 2920, ch. de la Tour, room 6214