[Turkmath:7600] FGC-HRI-IPM Number Theory Seminars/ Eray Karabiyik / Oct 21, 2026 at 19:00

[kazimilhan.ikeda]

Değerli matematikçiler,

Çarşamba günü saat 19:00'da çevrimiçi yapılan FGC-HRI-IPM Sayılar 
Teorisi Semineri konuşmasının detayları aşağıda yer almaktadır.

Saygılarımla,
İlhan İkeda

-------- Original Message --------
Subject: FGC-HRI-IPM Seminars/ Eray Karabiyik / Oct 21
Date: 2026-10-19 10:53
 From: FGC-HRI-IPM  Number Theory Seminars 
<fgc-hri-ipm-numbertheory at googlegroups.com>
To: FGC-HRI-IPM  Number Theory Seminars 
<fgc-hri-ipm-numbertheory at googlegroups.com>

Dear all,

Our next talk is on October 21. Please find the details below.

Date: Wednesday, October 21, 2026
Time: 19:00 (Istanbul LT), 19:30 (Tehran LT), 21:30 (Allahabad LT)
Speaker: Eray Karabıyık (Hetao Institute of Mathematics and 
Interdisciplinary Sciences, China)

Title: Classifying 5-adic and 7-adic Galois Representations of Elliptic 
Curves

Abstract:
We classify rational points on two curves: the modular curve 
$X_{E_3}(7)$, associated with $E_3:y^2=x^3-x^2-16x+29$, and the modular 
curve X_ns^{+}(25). Both classifications use quadratic Chabauty in the 
framework of Besser-Müller-Srinivasan’s “p-adic adelic metrics and 
Quadratic Chabauty”. These two results complete the classification of 
5-adic and 7-adic Galois representations attached to elliptic curves. We 
further discuss applying the same techniques for other curves of 
interest.

Zoom details:
Zoom link: https://kocun.zoom.us/j/99715471656
Meeting ID: 997 1547 1656
Passcode: 848084
ICS file: https://researchseminars.org/seminar/FGC-IPM/ics

---