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.