Speaker: Wadim Zudilin
Affiliation: Nijmegen
Abstract
The Mahler measure of a (multi-variate) polynomial is a particular example of "height" in number theory - a way to measure the smallness of algebraic objects arithmetically. Originated from needs in transcendental number theory and preceded by Jensen's formula and Lehmer's question in the single-variable case, this height became a topic of its own in the 1960s after several contributions of Mahler showing its importance. Years later, the original scope of the Mahler measure was expanded significantly after the discovery of its deep links to algebraic geometry and K-theory, in particular to Beilinson's conjectures. These interrelations generated a body of challenging problems, some resolved but many remaining open. After a brief introduction to the topic, I will highlight such relationships and recent developments.
About Pure mathematics seminars
We present regular seminars on a range of pure mathematics interests. Students, staff and visitors to UQ are welcome to attend, and to suggest speakers and topics.
Seminars are usually held on Tuesdays from 2 to 3pm.
Talks comprise 45 minutes of speaking time plus five minutes for questions and discussion.
Information for speakers
Researchers in all pure mathematics fields attend our seminars, so please aim your presentation at a general mathematical audience.
Contact us
To volunteer to talk or to suggest a speaker, email Ole Warnaar or Ramiro Lafuente.
Venue
Room: 442