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タイトル The Beilinson conjectures for CM elliptic curves via hypergeometric functions 2017年1月16日 16:30-17:30 伊東良純 氏 （千葉大学） 慶應義塾大学・理工学部（矢上キャンパス） 14棟631A 教室 In this talk, we consider certain CM elliptic curves which are related to Fermat curves, and express the values of $L$-functions at $s=2$ in terms of special values of generalized hypergeometric functions. We compare them and a similar result of Rogers-Zudilin with Otsubo's regulator formulas, and give a new proof of the Beilinson conjectures originally due to Bloch.