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SUMMARY:Lam Pham (Brandeis University)
DTSTART:20221020T161500Z
DTEND:20221020T173000Z
DTSTAMP:20260423T022036Z
UID:NEDNT/53
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NEDNT/53/">S
 hort closed geodesics in higher rank arithmetic locally symmetric spaces</
 a>\nby Lam Pham (Brandeis University) as part of New England Dynamics and 
 Number Theory Seminar\n\nLecture held in Online.\n\nAbstract\nA well-known
  conjecture of Margulis predicts that there is a uniform lower bound on th
 e systole of any irreducible arithmetic locally symmetric space. Recently\
 , in joint work with Mikolaj Fraczyk\, we show that for simple Lie groups 
 of higher rank\, this conjecture is equivalent to a well-known conjecture 
 in number theory: that Salem numbers are uniformly bounded away from 1. I 
 will discuss our proof and some tools used\, and some additional results w
 hich hold unconditionally and highlight the structure of the bottom of the
  length spectrum.\n
LOCATION:https://researchseminars.org/talk/NEDNT/53/
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