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SUMMARY:Two Applications of the Arithmetic Margulis Lemma
DTSTART:20261204T130000Z
DTEND:20261204T150000Z
DTSTAMP:20261110T173000Z
UID:indico-event-17632@indico.math.cnrs.fr
CONTACT:cecile@ihes.fr
DESCRIPTION:Speakers: Marc Burger (ETH Zürich)\n\nThis course has two par
 ts. In the first we will define a general notion of integer point in a hig
 her Teichmüller space and two invariants thereof\, the arithmetic dimensi
 on and the arithmetic height. The aim is to show finiteness\, modulo the m
 apping class group action\, of the number of integer points for which both
  invariants are bounded.\nIn the second part we will give the main steps l
 eading to the recent result of Frączyk\, Hurtado and Raimbault\, stating 
 that the topological complexity of an arithmetic locally symmetric space i
 s bounded by its volume.\nBoth parts rely on the arithmetic Margulis lemma
  proven by the same authors as a consequence of Breuillard's height gap th
 eorem.\n\nhttps://indico.math.cnrs.fr/event/17632/
LOCATION:Amphithéâtre Léon Motchane (IHES)
URL:https://indico.math.cnrs.fr/event/17632/
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