BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Riccardo Pengo (École Normale Supérieure de Lyon) DTSTART:20210608T080000Z DTEND:20210608T083000Z DTSTAMP:20260423T010857Z UID:JENTE/33 DESCRIPTION:Title: M ahler measure of successively exact polynomials\nby Riccardo Pengo (É cole Normale Supérieure de Lyon) as part of Japan Europe Number Theory Ex change Seminar\n\n\nAbstract\nThe relation between Mahler measures of poly nomials and special values of L-functions has been widely explored since t he seminal works of Boyd\, Deninger and Rodriguez-Villegas in the late '90 s. Sometimes\, as in the earliest examples computed by Smyth\, these relat ions occur between Mahler measures of n-variable polynomials and special v alues associated to geometric objects of dimension strictly less than n-1. This phenomenon has found a first explanation in the notion of exactness\ , put forward by Maillot and Lalín. In this talk\, based on joint work in progress with François Brunault\, we will give a survey of these questio ns\, and explain how one can interpret them using new cohomological approa ches\, which provide a notion of successive exactness\, predicted by Lalí n\, that explains the observed drops in the dimension of the geometric obj ects used to construct the L-functions whose special values should be rela ted to the Mahler measure of the polynomial in question.\n LOCATION:https://researchseminars.org/talk/JENTE/33/ END:VEVENT END:VCALENDAR