[Turkmath:8802] Mimar Sinan Üniversitesi'nde Matematik Semineri

[Ayhan Gunaydin]

Değerli liste üyeleri,
Mimar Sinan Güzel Sanatlar Üniversitesi'ndeki, Matematik Semineri'nde bu hafta Kazım Büyükboduk konuşuyor. Detaylar aşağıda.
İyi çalışmalar,ayhan 



Konuşmacı: Kazım Büyükboduk (Koç Üniversitesi)
Başlık: On a conjecture of Mazur, Tate and Teitelbaum
Özet: In order to formulate a p-adic Birch and Swinnerton conjecture (BSD for short) for an elliptic curve E, Mazur, Tate and Teitelbaum (MTT) constructed a p-adic L-function attached to E. To understand its compatibility with the usual BSD, one needs to compare the order of vanishing of the p-adic L-function at s=1 to that of the Hasse-Weil L-function (where the latter is called the analytic rank of E). When E has split multiplicative reduction mod p, MTT observed that the p-adic L-function always vanishes at s=1 and they conjectured that its order of zero is exactly one more than the analytic rank of E. In 1992, Greenberg and Stevens proved this conjecture when the analytic rank is zero. In this talk, a large portion of which will be a survey of the topic, I will explain a method that I am in the process of developing to prove the MTT conjecture when the analytic rank is one. Statistically speaking, this will complete the proof of MTT conjecture in almost all cases.
Yer: MSGSÜ, Bomonti Kampüsü (Harita), Matematik Bölümü Seminer Odası.
Zaman: 22 Şubat 2013, Cuma, 16:00

http://math.msgsu.edu.tr/~ayhan/Seminars
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