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SUMMARY:Alex Betts (Harvard University)
DTSTART:20241008T203000Z
DTEND:20241008T213000Z
DTSTAMP:20260423T130021Z
UID:MITNT/99
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITNT/99/">L
 awrence--Venkatesh and the Section Conjecture</a>\nby Alex Betts (Harvard 
 University) as part of MIT number theory seminar\n\nLecture held in Room 2
 -449 in the Simons Building (building 2).\n\nAbstract\nGrothendieck's famo
 us Section Conjecture predicts that the set of rational points on a smooth
  projective curve $X$ of genus at least two should be equal to a certain "
 section set" defined purely in terms of the etale fundamental group of $X$
 . Despite several decades of interest\, this section set remains highly my
 sterious\, and we do not even know whether the section set is finite\, in 
 accordance with the Mordell Conjecture.\n\nIn this talk I will describe wo
 rk with Jakob Stix\, in which we applied the method of Lawrence--Venkatesh
  to this question and proved a certain shadow of this expected finiteness 
 result.\n
LOCATION:https://researchseminars.org/talk/MITNT/99/
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