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SUMMARY:John Cullinan (Bard College)
DTSTART:20250916T200000Z
DTEND:20250916T210000Z
DTSTAMP:20260422T173734Z
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 Five College Number Theory Seminar\n\nLecture held in Se
 eley Mudd 207 @Amherst College.\n\nAbstract\nLet E and E’ be isogenous e
 lliptic curves defined over Q. Then their associated L-functions are equal
 \; in particular\, their leading Taylor coefficients are equal. However (a
 ssuming the conjecture of Birch and Swinnerton-Dyer)\, the individual arit
 hmetic invariants that comprise the leading terms may not be. In this talk
  we explore how the individual BSD terms change under a prime-degree isoge
 ny and how to quantify the “likelihood” that such changes occur. This 
 is joint work with Alexander Barrios.\n
LOCATION:https://researchseminars.org/talk/FCNTS/1/
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