Seminar on Algebraic Geometry : Construction of p-adic analytic family of Eisenstein series on $GU(2,2)$

2014-11-20 10:00 - 2014-11-20 16:00
Faculty of Science Building #3 Room 210
Sho Takemori (Hokkaido University)
Abstract : In this talk, I will explain the latter half part of the paper
of Skinner-Urban, ‘‘The Iwasawa main conjecture for $GL_{2}$’’.
Let $G = GU(2, 2)$ be the unitary similitude group of
the vector space with a skew Hermitian paringover an imaginary
quadratic field. I will talk about how they constructed $p$-adic
analytic family of Klingen-type Eisenstein series on $G$
whose Fourier coefficients at singular matrices are
divisible by the three-variable $p$-adic $L$-function.