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SUMMARY:Tung Nguyen (Western University)
DTSTART:20220215T213000Z
DTEND:20220215T220000Z
DTSTAMP:20260423T035750Z
UID:POINT/39
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/POINT/39/">F
 ekete polynomials\, quadratic residues\, and arithmetics</a>\nby Tung Nguy
 en (Western University) as part of POINT: New Developments in Number Theor
 y\n\n\nAbstract\nFekete polynomials play an important role in the study of
  special values of L-functions of quadratic fields. While their analytic p
 roperties are well-studied in the literature\, little is known about their
  arithmetics. In this talk\, we will discuss some surprising arithmetical 
 properties of these polynomials. In particular\, we will see that special 
 values of Fekete polynomials contain some rich information about the class
  numbers of quadratic fields.  Furthermore\, their Galois groups seem to f
 ollow a rather simple pattern.  Time permitting\, I will discuss some rece
 nt progress on generalized Fekete polynomials. This is based on joint work
  with Jan Minac and Nguyen Duy Tan.\n\nRegister for the next session of ND
 NT Round 5 on February 15 using the following links:\n\nhttps://uwmadison.
 zoom.us/meeting/register/tJMkc-2hqDojG9yua5n-EkWxonnHyGeeMJkJ\n
LOCATION:https://researchseminars.org/talk/POINT/39/
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