[Turkmath:7215] October 03, 2025 at 15:00-16:00:: FGC-HRI-IPM Number Theory Seminar-Kazım Büyükboduk

[kazimilhan.ikeda]

Değerli matemetikçiler,

Ekim 03 2025 günü Feza Gürsey Fizik ve Matematik UygAr Merkezi 
tarafından tertiplenen seminerin konuşma detayları aşağıdadır.

ilhan ikeda

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Dear friends,

We will start our 2025-26 FGC-HRI-IPM Number Theory Seminars (local 
event) with Kazım Büyükboduk from the University College-Dublin. The 
details of Kazım's talk is as follows:

Date and time: October 03, 2025 at 15:00.
Location: TB - 130 (Boğaziçi Univ. South Campus)

Title: Rational points on elliptic curves and their p-adic analytic 
construction

Abstract:
The negative answer to Hilbert's 10th problem tells us that determining 
whether or not an algebraic variety should carry any rational points is 
(literally!) impossibly hard. The same problem, even for curves, is 
difficult: For elliptic curves, this is the subject of the celebrated 
Birch and Swinnerton-Dyer conjecture. I will survey recent results on 
this problem, and explain briefly an explicit p-adic analytic 
construction of rational points of infinite order on elliptic curves of 
analytic rank one (resolving a conjecture of Perrin-Riou). These final 
bits of the talk will be a report on joint works with Rob Pollack & Shu 
Sasaki, and with Denis Benois.

NOTE - After Kazım's talk, Shinichi Kobayashi from Kyushu University 
will deliver a talk at 16:30.
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