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タイトル Stark points and p-adic iterated integrals attached to modular forms of weight one
開催日時 2015年11月2日 16:30-17:30
主催者
講演者 Alan G. B. Lauder 氏 (University of Oxford)
場所 慶應義塾大学・理工学部(矢上キャンパス) 12棟206教室
内容 Given an elliptic curve over Q the only well-understood construction of global points is that of "Heegner points", which are definedover ring class fields of imaginary quadratic fields and are non-torsion only in rank one settings. I will present some new constructions and explicit formulae, in situations of rank one and two,of global points over ring class fields of real or imaginary quadratic fields, cyclotomic fields, and extensions of Q with Galois group A_4, S_4 or A_5. Our constructions and formulae are proven in certain cases - when they can be related to Heegner points - and conjectural, but supported by experimental evidence, otherwise. This is joint work with Henri Darmon and Victor Rotger.
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