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UID:5680@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20230403T000000
DTEND;TZID=Europe/Paris:20230407T000000
DTSTAMP:20241120T200145Z
URL:https://www.i2m.univ-amu.fr/evenements/density-problems-in-arithmetic-
 morlet-chair-peter-stevenhagen/
SUMMARY:Workshop (CIRM\, Luminy\, Marseille): Density problems in Arithmeti
 c (Morlet Chair - Peter Stevenhagen )
DESCRIPTION:Workshop: \n\n\n\n\n\n\n  MAIN PAGE OF THE THEMATIC SEMESTER  \
 n\n\n\n\n\n\n\n\n   CIRM - Jean-Morlet Chair - WEBSITE (Peter Stevenhagen\
 , Samuele Anni)\n\n\n\n\n\n\n\n\n\n\n\n\n[su_spacer]\n\n\n\n\n\n\n\n\n\n\n
 \n\nWORKSHOP\n\n\n\n\nDensity problems in Arithmetic\nProblèmes de densit
 é en Arithmétique\n[su_spacer size="10"]\n3 – 7 April 2023\n[su_spacer
  size="10"]\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n[su_spa
 cer size="10"]\nScientific Committee\nComité scientifique\nChantal David
  (Concordia University)\nRonald van Luijk (Leiden University)\nFrancesco P
 appalardi (Università Roma Tre)\nAntonella Perucca (Université du Luxemb
 ourg)\nRené Schoof (Università di Roma « Tor Vergata »)[su_spacer size
 ="10"]\n\n\n\n\n\nOrganizing Committee\nComité d’organisation\nSamuele 
 Anni (Aix-Marseille Université)\nPeter Stevenhagen (Leiden University)\nJ
 an Vonk (Leiden University)\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n[su_spacer
  size="10"]\n\n\n\n\n\n  Time schedule  \n\n\n\n\n\n\n\n\n\n\n\n  Abstract
 s  \n\n\n\n\n\n\n\n\n\n\n\n  Participants  \n\n\n\n\n\n[su_spacer size="10
 "]\n\n\n\n\n\n\n\n\n\n\n\n\nln this workshop\, we will consider variants o
 f Artin’s primitive root conjecture leading to the study of the Galois g
 roups of various radical extensions. Beyond the case of the multiplicative
  group studied by Lenstra and others\, there are now also interesting resu
 lts for elliptic radicals\, and for division points in more general abelia
 n varieties. ln this context\, the elliptic analogue of Artin’s conjectu
 re is the Lang-Trotter conjecture\, which is still open after more than 40
  years.\nThe Galois representations associated to various division points 
 in abelian varieties are central to understanding the Galois groups of the
  radical extensions that one tries to explicitly describe in this context\
 , as they control the behaviour of the primes in the underlying problems. 
 Understanding these Galois representations\, and the entanglement between 
 the extensions generated by different prime-power radicals\, is essential 
 to progress in this area.\nln this circle of problems and questions\, one 
 encounters interesting restrictions to local-global principles that will b
 e addressed in this workshop\, not only in the context of radical extensio
 ns.\n\n\n\n\n\n\n\n\n\n\n\n\n\n[su_spacer size="10"]\n\n\n\n\n\n\n\n\n\n\n
 \n\nSPEAKERS\nFrancesco Campagna (Leibniz University Hannover)\nStephanie 
 Chan (University of Michigan)\nNathan Jones (University of Illinois at C
 hicago)\nEmmanuel Kowalski (ETH Zürich)\,\nPeter Koymans (Max Planck In
 stitute for Mathematics)\nEkin Ozman (Bogazici University)\,\nCarlo Pagan
 o (University of Glasgow)\,\nEugenia Rosu (University of California Berk
 eley)\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n[su_spacer si
 ze="10"]\nSPONSORS\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
 \n\n\n\n\n\n\n[su_spacer size="10"]
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 023/03/image_workshop-cirm-Density_problems_in_Arithmetic-Morlet_Chair-apr
 il_2023.jpg
CATEGORIES:Manifestation scientifique,Workshop
LOCATION:Luminy - CIRM\, 163 Avenue de Luminy\, Marseille\, 13009\, France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=163 Avenue de Luminy\, Mars
 eille\, 13009\, France;X-APPLE-RADIUS=100;X-TITLE=Luminy - CIRM:geo:0,0
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TZID:Europe/Paris
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DTSTART:20230326T030000
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