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CATEGORIES:Conferences/Seminars/Lectures
DESCRIPTION:Vishal Arul (MIT)\n\nCriteria for finiteness of S-integral poin
 ts in higher dimension\n\nFirst\, we will give a survey of finiteness resul
 ts in arithmetic geometry of the form "the number of K-isomorphism classes 
 of objects defined over K that are unramified over S is finite." Here\, "ob
 jects" could be curves of a fixed genus at least 2 (Shafarevich's conjectur
 e)\, abelian varieties\, etc. Next\, we will state Theorem 10.1 of Lawrence
 -Venkatesh\, which provides a set of conditions that would imply this kind 
 of finiteness in higher dimension. We will sketch their application of this
  criteria to hypersurfaces. If time permits\, we will discuss some ideas in
 volved in the proof of Theorem 10.1.
DTEND:20181214T170000Z
DTSTAMP:20260314T124400Z
DTSTART:20181214T150000Z
LOCATION:2-139
SEQUENCE:0
SUMMARY:STAGE Seminar
UID:tag:localist.com\,2008:EventInstance_4160609
URL:https://calendar.mit.edu/event/stage_seminar_8364
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