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SUMMARY:John Cullinan (Bard College)
DTSTART:20250916T200000Z
DTEND:20250916T210000Z
DTSTAMP:20260824T073643Z
UID:FCNTS/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/FCNTS/1/">Ex
 plicit Arithmetic in Isogeny-Torsion Graphs</a>\nby John Cullinan (Bard Co
 llege) as part of Pioneer Valley Number Theory Seminar\n\nLecture held in 
 Seeley Mudd 207 @Amherst College.\n\nAbstract\nLet E and E’ be isogenous
  elliptic curves defined over Q. Then their associated L-functions are equ
 al\; in particular\, their leading Taylor coefficients are equal. However 
 (assuming the conjecture of Birch and Swinnerton-Dyer)\, the individual ar
 ithmetic invariants that comprise the leading terms may not be. In this ta
 lk we explore how the individual BSD terms change under a prime-degree iso
 geny and how to quantify the “likelihood” that such changes occur. Thi
 s is joint work with Alexander Barrios.\n
LOCATION:https://researchseminars.org/talk/FCNTS/1/
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