ON-LINE: Number Theory Seminar

See below for more organisational information.

Speaker: Riccardo Pengo (KU)

Title: "Mahler's measure: from small numbers to big conjectures"

Abstract: "The Mahler measure of a polynomial measures how close its zeros are to the unit torus. In this talk, we will explore the connections between this seemingly simple invariant and other quantities coming from analysis, geometry and number theory. We will focus in particular on the relation between Mahler's measure and special values of L-functions, which can be approached using Beilinson's (conjectural) description of these special values in terms of regulators. This description is known for elliptic curves with complex multiplication defined over the rational numbers, and we will see how to derive a link between Mahler's measure and special values from this."

Organisational information

Event: This is the first of a series of number theory seminars which will take place online, due to the current exceptional situation. Each of the new events will be organised as a Zoom meeting. Apart from the speaker, there will be a designated "host" of the event, whose job will be to moderate access, to collect the questions (that can be asked in the Zoom chat) and so on.

Participation: If you are not a member of the Algebra and Number Theory group of the University of Copenhagen or a previous participant of this online edition of the seminar, please send an email to the host. You will be added to the mailing list for this virtual seminar. Everyone in the mailing list will receive an email with the link to join the Zoom meeting one hour before the starting time of the talk.

Host: Luigi Pagano (KU). Email: luigi.pagano@math.ku.dk.

Date and time: 08/05/2020, from 14.00 to 15.00 (Copenhagen time).

Place: Zoom meeting