BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//CERN//INDICO//EN
BEGIN:VEVENT
SUMMARY:The Carlitz module and a differential Ax-Lindemann-Weierstrass the
 orem for the Euler gamma function
DTSTART:20260410T130000Z
DTEND:20260410T143000Z
DTSTAMP:20260411T122700Z
UID:indico-event-16410@indico.math.cnrs.fr
CONTACT:gaiur@ihes.fr\;+33758543130
DESCRIPTION:Speakers: Lucia Di Vizio (Laboratoire de Mathématiques de Ver
 sailles)\n\nWe prove an Ax-Lindemann-Weierstrass differential transcendenc
 e result for Euler's gamma function\, namely that the functions Γ(ν-ζ1(
 ν))\,…\, Γ(ν-ζn(ν)) are differentially independent over the field o
 f rational functions in the variable ν\, with coefficients in the field k
  of 1-periodic meromorphic functions over the complex numbers\, as soon as
  ζ1\,…\, ζn determine a set of algebraic functions over k\, stable by 
 conjugation and pairwise distinct modulo the integers. \nTo prove this re
 sult we use both the Galois theory of difference equations and the theory 
 of a characteristic zero analog of the Carlitz module introduced by the se
 cond author in 2013. As an intermediate result we give an explicit descrip
 tion of the Picard-Vessiot rings and of the Galois groups associated to th
 e operators in the image of the Carlitz module\, using techniques inspired
  by the Carlitz-Hayes theory. This is a joint work with Federico Pellarin.
  \n\nhttps://indico.math.cnrs.fr/event/16410/
LOCATION:Salle Olga Ladyjenskaïa (IHP - Bâtiment Borel)
URL:https://indico.math.cnrs.fr/event/16410/
END:VEVENT
END:VCALENDAR