Mathematics

Dr. Wong Tian An
IISER Pune

Eisenstein cocycles are representatives in the group cohomology of GL(n) constructed by Sczech over totally real fields, and paramatrize values of partial zeta functions. Recently, Charollois and Dasgupta refine this to obtain a p-adic partial zeta function, and using this give a different construction of the p-adic L-function first obtained by Deligne and Ribet. In this talk, I will discuss a generalization of Sczech's method to extensions of imaginary quadratic fields, parametrizing partial Hecke L-functions in this case. Time permitting, I will also discuss work in progress towards obtaining the p-adic Hecke L-function in this case, related to one obtained by Colmez and Schneps. This is joint work with Jorge Flórez and Cihan Karabulut.