Christopher Williams (University of Warwick):
Overconvergent Bianchi modular symbols and p-adic L-functions
Abstract: Modular symbols are powerful algebraic tools in the study of modular forms. Pollack and Stevens used overconvergent modular symbols to give a beautiful and effective construction of the p-adic L-function of a classical modular form. In particular, they used Stevens' control theorem - a modular symbol analogue of Coleman's small slope classicality theorem - to attach a canonical overconvergent modular symbol to a small slope classical eigenform. The p-adic L-function can then be constructed from this overconvergent symbol in a natural way. In this talk, I will describe their results, before discussing an analogue over imaginary quadratic fields, constructing a p-adic L-function for any small slope Bianchi modular form.
Back to the scheduled timetable of the workshop.
Back to the Bianchi Modularity Workshop.