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SUMMARY:Juno Seong (UC San Diego)
DTSTART:20221006T161500Z
DTEND:20221006T173000Z
DTSTAMP:20260423T022006Z
UID:NEDNT/51
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NEDNT/51/">A
 n avoidance principle and Margulis functions for expanding translates of u
 nipotent orbits</a>\nby Juno Seong (UC San Diego) as part of New England D
 ynamics and Number Theory Seminar\n\nLecture held in Online.\n\nAbstract\n
 Avoidance principles — quantifying how much time trajectories avoid cert
 ain subsets of the ambient space — have been fruitful in the study of dy
 namical systems. We prove an avoidance principle for expanding translates 
 of unipotent orbits for some semisimple homogeneous spaces. In addition\, 
 we prove a quantitative isolation result of closed orbits and give an uppe
 r bound on the number of closed orbits of bounded volume. The proof of our
  results relies on the construction of a Margulis function and the theory 
 of finite dimensional representations of semisimple Lie groups. This is jo
 int work with Anthony Sanchez.\n
LOCATION:https://researchseminars.org/talk/NEDNT/51/
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