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SUMMARY:Frank Lu (Harvard)
DTSTART:20250410T210000Z
DTEND:20250410T223000Z
DTSTAMP:20260422T220629Z
UID:STAGE/129
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/STAGE/129/">
 Abelian-by-finite families I</a>\nby Frank Lu (Harvard) as part of STAGE\n
 \nLecture held in Room 2-449 in the MIT Simons Building.\n\nAbstract\nIn t
 his talk\, we will begin the proof that there are only finitely many ratio
 nal points whose pre-images along the finite map have large Galois orbits\
 , introduced in the previous talk. The proof of this statement requires tw
 o lemmas: a generic simplicity statement\, and a finiteness statement if w
 e consider only the rational points corresponding to a given simple Galois
  representation. We will begin by presenting the proof\, assuming these tw
 o lemmas\, before proving the finiteness lemma. \n\nWe will follow part of
  <a href="https://link.springer.com/article/10.1007/s00222-020-00966-7">La
 wrence and Venkatesh\, Diophantine problems and $p$-adic period mappings</
 a>\, Section 6.\n
LOCATION:https://researchseminars.org/talk/STAGE/129/
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