MM(P): Mahler Measures of Polynomials

An international conference on the occasions of Mahler's 120th birthday and 90 years of Lehmer's problem

Time and place: 24–27 October 2023 (Tuesday–Friday), room HG 00.303, Huygensgebouw, Radboud University Nijmegen

Some history
The first conference dedicated exclusively to the MM and titled "The Many Aspects of Mahler's Measure" was organised 20 years ago at BIRS (Canada). The report from the event is available online in pdf.
A few years later there was another successful workshop on the topic, "Variations on Mahler's Measure" at CIRM Luminy, see the archive copy; then another event "Mahler Measure in Mobile" – the programme of the conference as well as pictures from it are still accessible.
There were later several workshops featuring the MM as a subtheme; there was one MM summer school; there were attempts to make another MM conference.
It finally materialises: we are happy to measure progress of recent MM developments in Nijmegen.
Citing the last passage from the 2003 BIRS report, "It is to be hoped that the research inspired by such workshops will continue to unravel the mysteries of Mahler's marvelous measure."

Speakers include:
Marie José Bertin
François Brunault (keynote)
Gabriel Dill
Artūras Dubickas (keynote)
Philipp Habegger (keynote)
Jan-Willem van Ittersum
Matilde Lalín (keynote)
Youness Lamzouri
Hang Liu
Mahya Mehrabdollahei
Michael Mossinghoff
Siva Sankar Nair
Fabien Pazuki
Riccardo Pengo
Hourong Qin
Berend Ringeling
Subham Roy
Detchat Samart
Harry Schmidt
Chris Smyth
Lola Thompson
Thu Hà Trieu

Silent participants include:
Finn Bartsch
Frits Beukers
Sebastián Carrillo Santana
Gunther Cornelissen
Paulius Drungilas
Jan-Hendrik Evertse
Samira le Grand
Xuejun Guo
Harald Andrés Helfgott
David Hokken
Ariyan Javanpeykar
Rob de Jeu
Qingzhong Ji
Frans Keune
Jan Stienstra
Pavlo Yatsyna
Pengcheng Zhang
Wadim Zudilin

In case you want to take part in the meeting, please send an email with subject MM(P) to w dot zudilin at math dot ru dot nl.
Of course, in your message you need to clearly indicate your reasons for potential attending the event. As of 2 July 2023, no slots for further talks are left. As of 27 October 2023, the conference is over.

A programme of the event with abstracts is available here.

Tuesday 24 October 2023, room HG 00.303
09:50–10:50 François Brunault Mahler measures and modular forms
11:15–11:45 Mahya Mehrabdollahei The Mahler measure of certain exact polynomial families (slides)
11:50–12:20 Riccardo Pengo Mahler measures of successively exact polynomials (slides)
15:15–15:45 Marie José Bertin Mahler measure of polynomials defining singular K3 surfaces (slides)
15:50–16:20 Thu Hà Trieu The Mahler measure exact polynomials in three variables
16:40–17:10 Jan-Willem van Ittersum Hedgehogs in Lehmer's problem (slides)
17:15–17:45 Michael Mossinghoff The Lind–Mahler measure and integer group determinants
Wednesday 25 October 2023, room HG 00.303
09:15–09:45 Youness Lamzouri On the Mahler measure of Fekete polynomials (slides)
09:50–10:50 Artūras Dubickas Mahler measures, their quotients and differences (slides)
11:15–11:45 Berend Ringeling Analytic continuation of the zeta Mahler function
11:50–12:20 Harry Schmidt Lower bounds for the canonical height of polynomials with tame monodromy
Thursday 26 October 2023, room HG 00.303
09:15–09:45 Fabien Pazuki Explicit bounds on the coefficients of modular polynomials and the size of X0(N)
09:50–10:50 Matilde Lalín Evaluations of areal Mahler measure of multivariable polynomials (slides)
11:15–11:45 Detchat Samart Some recent results on Mahler measures of curves parametrized by modular units (slides)
11:50–12:20 Hourong Qin L-values of congruent number elliptic curves
15:15–15:45 Chris Smyth Thue sets
16:00–17:00 Philipp Habegger The transfinite diameter of finite trees and dynamical Schinzel–Zassenhaus bounds
Problem session
Friday 27 October 2023, room HG 00.303
09:15–09:45 Hang Liu Mahler measure of Q-curves
09:50–10:20 Siva Sankar Nair The Mahler measure of a family of polynomials with arbitrarily many variables (slides)
10:25–10:55 Subham Roy Generalized Mahler measure of Laurent polynomials
11:15–11:45 Lola Thompson Mahler Measure and Manifolds
11:50–12:20 Gabriel Dill On the frequency of height values

This event is sponsored by
the NWO–Dutch Research Council NWO (project OCENW.KLEIN.006)
the Institute for Mathematics, Astrophysics and Particle Physics RU

Last modified: 15 November 2023