Stark points and p-adic iterated integrals attached to modular forms of weight one

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• Alan Lauder (University of Oxford)
• Tuesday 27 January 2015, 16:15-17:15
• MR13.

If you have a question about this talk, please contact Jack Thorne.

This is joint work with Henri Darmon and Victor Rotger. I will discuss some new “canonical points” on elliptic curves defined via weight one modular forms. Our constructions are in part conjectural, supported by theoretical and experimental evidence, and give a unifying perspective on the two known constructions of global points (Heegner points and Stark-Heegner points). I may also briefly discuss an adaptation of these methods, replacing Mordell Weil groups with groups of p-units to recover Gross-Stark p-units, and a recent related theorem which touches on Hilbert’s 12th problem (Kronecker’s dream of youth) for real quadratic fields.

This talk is part of the Number Theory Seminar series.

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