Number theory seminar

Speaker: Aftab Pande, Universidade Federal do Rio de Janeiro

Title: An elementary construction of p-adic families of Hilbert Modular forms.

Abstract: We use an idea of Buzzard and give an elementary construction of a p-adic family of Hilbert Modular eigenforms. In previous work of the author, results on local constancy of slope alpha spaces of Hilbert modular forms were obtained in the spirit of the Gouvea-Mazur conjectures. Assuming the dimensions of the slope alpha spaces is 1, we are able to obtain a p-adic family of Hilbert Modular Forms.