Etkinlik Detay
Mathematics MS Defense by Berke Noyan Karagöz
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KOÇ UNIVERSITY
GRADUATE SCHOOL OF SCIENCES & ENGINEERING
MATHEMATICS
MS THESIS DEFENSE BY BERKE NOYAN KARAGÖZ
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Title: p-adic L-functions & Overconvergent Modular Symbols
Speaker: Berke Noyan Karagöz
Time: August 14, 2017, 13:00
Place: ENG 127
Koç University
Rumeli Feneri Yolu
Sariyer, Istanbul
Thesis Committee Members:
Assoc. Prof. Kâzım Büyükboduk (Advisor, Koç University)
Prof. Varga K. Kalantarov (Koç University)
Prof. K. Ilhan Ikeda (Yeditepe University)
Abstract:
We study the p-adic L-function of Amice & Velu and Vishik associated to an eigenform f, give an explicit construction of the underlying h-admissible distribution and discuss in detail the analyticity and interpolation properties the L-function satisfies. We then study Stevens’ space of overconvergent modular symbols and link the two discussions together via a theorem.