=?Windows-1252?Q?Seminar_by_Dr._Thu-H=E0_Trieu_on_Wednesday, _October_29th?= , at 2:30 PM

[PERRONI FABIO]

UNIVERSITA’ DEGLI STUDI DI TRIESTE
DIPARTIMENTO DI MATEMATICA, INFORMATICA E GEOSCIENZE

SEMINAR ANNOUNCEMENT

Wednesday, October 29th, 2025, at 14:30.

Dr. Thu-Hà Trieu (Hanoi University of Science and Technology) will give a seminar.

Title: The Mahler measure of exact polynomials and special values of L-function of motives.
Abstract: The Mahler measure of polynomials was introduced by Mahler in 1962 as a tool to study transcendental number theory. Over time, numerous connections have been discovered between Mahler measure and special values of L-functions. In this talk, we express the Mahler measure of an exact polynomial in arbitrarily many variables in terms of Deligne–Beilinson cohomology, and study its relationship with Beilinson regulators. As an application, we show that under some conditions, the Mahler measure of three-variable polynomials can be expressed in terms of special values of the elliptic curve L-function and the Bloch–Wigner dilogarithm. In the four-variable case, the Mahler measure of certain polynomials can be written as a Q-linear combination of special values of the L-function of K3 surfaces and the Riemann zeta function.

Venue: Seminar Room of the Department (Sezione di Matematica, H2 building, Via Valerio 12/1, 3rd floor, room 334).
Everyone interested is welcome to attend.
Kind regards

--
Fabio Perroni
Professore | Professor
Università degli Studi di Trieste | University of Trieste
Dipartimento di Matematica, Informatica e Geoscienze
Via Valerio, 12/1 - 34127 Trieste (Italy)
fperroni at units.it<mailto:fperroni at units.it>
Tel.| Ph. +39 040 558 2639<tel:+390405582639>