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SUMMARY:Chebyshev’s bias for elliptic curves over function fields
DTSTART:20150409T141500
DTEND:20150409T151500
DTSTAMP:20260408T071216Z
UID:6b0710f19c5faab8a402922b9cda00be33ca82d35650f262785bd3f1
CATEGORIES:Conferences - Seminars
DESCRIPTION:Daniel Fiorilli - University of Ottawa\nSince Chebyshev's obse
 rvation that there seems to be more primes of the form 4n+3 than of the fo
 rm 4n+1\, many other types of ‘arithmetical biases’ have been found. A
 s was observed by Mazur\, such a bias appears in the count of points on re
 ductions of a fixed elliptic curve E\; this bias is mainly created by the 
 analytic rank. In this talk we will discuss the analogous question for ell
 iptic curves over function fields. We will first discuss the occurrence of
  extreme biases\, which originate from very different source than in the n
 umber field case. Secondly\, we will discuss what happens to a ‘typical 
 curve’\, and discuss results of linear independence of the zeros of the 
 associated L-functions. This is joint work with Byungchul Cha and Florent 
 Jouve.
LOCATION:GR A3 30 http://plan.epfl.ch/?lang=en&room=GR+A3+30
STATUS:CONFIRMED
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