Please register here: https://zoom.us/meeting/register/tJEtcuuvqTksHdfsLV9ZiYeWaHDdqnotA5-5 .

I will describe two ongoing works whose unifying theme is to establish the algebraicity of the RM values of rigid meromorphic cocycles, by realizing these invariants as the fourier coefficients of certain p-adic modular generating series, thereby obtaining the desired properties from the theory of deformations of Galois representations and from global class field theory. The first project, in collaboration with Alice Pozzi and Jan Vonk, considers the RM values of the Dedekind-Rademacher cocycle and its relation to the diagonal restrictions of certain first order deformations of Hilbert modular Eisenstein series. The second, in collaboration with Yingkun Li and Jan Vonk, considers the RM values of certain rigid meromorphic cocycles and p-adic modular forms of weight 3/2 that arise as the fourier coefficients of Zagier’s holomorphic kernel for the Shimura-Shintani correspondence.

For an introductory lecture on this topic, please see: https://www.youtube.com/watch?v=JsH1yMBwt_I .