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SUMMARY:Counting integral points in thin sets
DTSTART:20250523T080000Z
DTEND:20250523T090000Z
DTSTAMP:20260415T103700Z
UID:indico-event-412@math-events.uni-bonn.de
DESCRIPTION:Speakers: Lilian B. Pierce (Duke University)\n\nMany problems 
 in number theory can be framed as questions about counting integral soluti
 ons to a Diophantine equation (say\, within a certain “box”). If there
  are very few\, or very many variables\, certain methods gain an advantage
 \, but sometimes there is extra structure that can be exploited as well. F
 or example: let f be a given polynomial with integer coefficients in n var
 iables. How many values of f are a perfect square? A perfect cube? These q
 uestions arise in a variety of specific applications\, and also in the con
 text of a general conjecture of Serre on counting points in thin sets. We 
 will survey recently developed sieve methods that can exploit this type of
  structure to bound the number of integral points in affine thin sets.\n\n
 https://math-events.uni-bonn.de/event/412/
LOCATION:Endenicher Allee 60/1-016 - Lipschitzsaal (Mathezentrum)
URL:https://math-events.uni-bonn.de/event/412/
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