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Diagonal Restrictions of Hilbert Eisenstein series

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  • UserHÃ¥vard Damm-Johnsen (University of Oxford)
  • ClockTuesday 31 October 2023, 14:30-15:30
  • HouseMR13.

If you have a question about this talk, please contact Hanneke Wiersema.

Darmon and Vonk’s theory of rigid meromorphic cocycles, or “RM theory”, can be thought of as a $p$-adic counterpart to the classical CM theory. In particular, values of certain cocycles conjecturally behave similarly to values of the modular $j$-function at CM points. Recently, Darmon, Pozzi and Vonk proved special cases of these conjectures using $p$-adic deformations of Hilbert Eisenstein series. I will describe some ongoing work extending these results, and how to make their constructions effectively computable.

This talk is part of the Number Theory Seminar series.

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