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SUMMARY:Jerson Caro (Boston University)
DTSTART:20240909T200000Z
DTEND:20240909T210000Z
DTSTAMP:20260423T022735Z
UID:NTBU/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NTBU/2/">Dio
 phantine properties for the special values of Dedekind zeta functions</a>\
 nby Jerson Caro (Boston University) as part of Boston University Number Th
 eory Seminar\n\nLecture held in CDS Room 365 in Boston University.\n\nAbst
 ract\nAccording to Nothcott's theorem\, any set of algebraic numbers of bo
 unded height and bounded degree is finite. Analogous finiteness properties
  are also satisfied by many other heights\, such as the Faltings height. G
 iven the many conjectural links between heights and special values of L-fu
 nctions (with the BSD conjecture as the most remarkable example)\, it is n
 atural to ask whether special values of L-functions satisfy a similar Nort
 hcott property. In this talk\, we will outline joint work in progress with
  Fabien Pazuki and Riccardo Pengo that shows the Northcott property does n
 ot hold for the Dedekind zeta function at 1/2.\n
LOCATION:https://researchseminars.org/talk/NTBU/2/
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