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SUMMARY:Eray Karabiyik (HIMIS)
DTSTART:20261021T160000Z
DTEND:20261021T170000Z
DTSTAMP:20261022T114519Z
UID:FGC-IPM/72
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/FGC-IPM/72/"
 >Classifying 5-adic and 7-adic Galois Representations of Elliptic Curves</
 a>\nby Eray Karabiyik (HIMIS) as part of FGC-HRI-IPM Number Theory Webinar
 s\n\n\nAbstract\nWe classify rational points on two curves: the modular cu
 rve $X_{E_3}(7)$\, associated with $E_3:y^2=x^3-x^2-16x+29$\, and the mod
 ular curve X_ns^{+}(25). Both classifications use quadratic Chabauty in th
 e framework of Besser-Müller-Srinivasan's "p-adic adelic metrics and Quad
 ratic Chabuty". These two results complete the classification 5-adic and 
 7-adic Galois representations attached to elliptic curves. We further disc
 uss applying the same techniques for other curves of interest.\n
LOCATION:https://researchseminars.org/talk/FGC-IPM/72/
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