Mahler Measure and Values of Regulators

SHORT TALKS BY POSTDOCTORAL MEMBERS
Topic:Mahler Measure and Values of Regulators
Speaker:Matilde Lalin
Affiliation:IAS
Date:Wednesday, October 5
Time/Room:2:00pm - 3:00pm/S-101

The Mahler measure of an n-variable polynomial P can be defined as the integral of log|P| over the n-dimensional unit torus T^n with the Haar measure. While the algebraic nature of the values of Mahler measure for the one-variable case is well understood, the knowledge of the several-variable case is reduced to a bunch of examples, some of which have been interpreted in terms of values of regulators.