Speaker: Henri Darmon (McGill University)

I will describe how the algebraicity of the RM values of rigid meromorphic cocycles might be deduced from the study of the ordinary projections of certain p-adic modular forms of half integral weight, following an approach that is closely modelled on Gross and Zagier’s “analytic proof” of their celebrated theorem on the factorisation of differences of singular moduli.

This is an account of ongoing joint works with Yingkun Li, Alice Pozzi, and Jan Vonk, and builds on results obtained previously with Alan Lauder and Victor Rotger, as well as a striking algebraicity result of Rivero and Rotger.

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