BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Sebastian Hurtado (University of Chicago)
DTSTART:20210930T161500Z
DTEND:20210930T173000Z
DTSTAMP:20260423T021859Z
UID:NEDNT/29
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NEDNT/29/">H
 eight Gap\, an Arithmetic Margulis Lemma and Almost Laws</a>\nby Sebastian
  Hurtado (University of Chicago) as part of New England Dynamics and Numbe
 r Theory Seminar\n\nLecture held in Online.\n\nAbstract\nWe provide a new 
 (more elementary) proof of a result of E. Breuillard\, which state that a 
 set of matrices with algebraic entries generating a non-virtually solvable
  group has a positive lower bound in its arithmetic height (we will explai
 n this notion)\, this is a non-abelian version of Lehmer’s problem. We a
 lso show that in arithmetic locally symmetric spaces\, short geodesics ten
 d to be far from each other if the degree of the trace field is large. Thi
 s lemma allows us to prove new results about growth of cohomology of seque
 nces of locally symmetric spaces and to give a proof of a conjecture of Ge
 lander. These results are works in progress with Joe Chen and Homin Lee\, 
 and with Mikolaj Fraczyk and Jean Raimbault.\n
LOCATION:https://researchseminars.org/talk/NEDNT/29/
END:VEVENT
END:VCALENDAR