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SUMMARY:Francois Thilmany (UC Louvain)
DTSTART:20211101T080000Z
DTEND:20211101T090000Z
DTSTAMP:20260423T052836Z
UID:SiN/33
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SiN/33/">Uni
 form discreteness of arithmetic groups and the Lehmer conjecture</a>\nby F
 rancois Thilmany (UC Louvain) as part of Symmetry in Newcastle\n\n\nAbstra
 ct\nThe famous Lehmer problem asks whether there is a gap between 1 and th
 e Mahler measure of algebraic integers which are not roots of unity. Asked
  in 1933\, this deep question concerning number theory has since then been
  connected to several other subjects. After introducing the concepts invol
 ved\, we will briefly describe a few of these connections with the theory 
 of linear groups. Then\, we will discuss the equivalence of a weak form of
  the Lehmer conjecture and the "uniform discreteness" of cocompact lattice
 s in semisimple Lie groups (conjectured by Margulis).\n\nJoint work with L
 am Pham.\n
LOCATION:https://researchseminars.org/talk/SiN/33/
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