P-adic Fourier theory in families

Number theory seminar: Andrew Graham (Oxford)

I will describe a generalisation of the p-adic Fourier theory of Amice and Schneider--Teitelbaum to families of p-divisible rigid analytic groups. As an application, one can construct global Eisenstein measures over the modular curve which give rise to new families of quaternionic modular forms. This is joint work with P. van Hoften and S. Howe.