[SNU Number Theory Seminar 14 Aug] On p-adic families of Hilbert eigenforms passing through the base change of a p-supercuspidal newform

Place:  27-116 (SNU)

Let p be an odd prime number. In this talk, I explain a construction of a p-adic analytic family of Hilbert eigenforms passing through the base change of a p-supercuspidal elliptic newform with respect to a suitable real quadratic field. Then, if there is time left, I also explain an application on a construction of a non-de Rham representation "surrounded" by de Rham representations.