Monday, June 1

Speaker: Lin Chen

Title: Galois deformation with triangular frame

We studied framed deformations of two dimensional Galois representation of which the residue representation restrict to decomposition groups are scalars. A framed version of R=T theorem is obtained. We determined the structure of deformation rings over characteristic zero fields, as conjectured by Hida, and this implies Hida's formula of $\mathcal{L}$ invariant of adjoint square p-adic L-function.