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DTSTAMP:20260406T022540Z
UID:1634565600@ist.ac.at
DTSTART:20211018T160000
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DESCRIPTION:Speaker: Lillian Pierce\nhosted by Tim Browning\nAbstract: Many
  questions in number theory can be phrased as counting problems. How many 
 primes are there? How many elliptic curves are there? How many integral so
 lutions to this system of equations are there? How many number fields are 
 there? If the answer is “infinitely many\,” we want to understand the 
 order of growth for the “family" of objects we are counting. But in many
  settings we are also interested in finer-grained questions that zoom in t
 o focus on just one part of the family. For example: how many number field
 s are there\, with fixed degree and fixed discriminant? We know the answer
  is “finitely many\,” but it would have important consequences if we c
 ould show the answer is always “very few indeed.” In this talk\, we wi
 ll describe several “counting problems” that remain mysterious\, and e
 xplore how one way to prove finer-grained properties is by understanding t
 he behavior of infinite families of mathematical objects.
LOCATION:Online\, ISTA
ORGANIZER:isabella.riedler@ist.ac.at
SUMMARY:Lillian Pierce: Institute Colloquium: Lillian Pierce (Duke Universi
 ty)
URL:https://talks-calendar.ista.ac.at/events/3144
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