
University of SydneySchool of Mathematics and StatisticsComputational Arithmetic Geometry Seminar10:05  10.55 (+ epilogue until 11.30) in Carslaw 453 on Friday 4 April
Mark KisinGeometric deformations of modular Galois representationsLet f be a modular eigenform, and V_f the associated representation of the absolute Galois group of Q. I will explain a result which says that V_f does not admit any first order deformations which arise from geometry. This is a special case of the conjectures of Deligne and Beilinson which relate extensions of motives and special values of Lfunctions. I will explain the philosophy and motivation underlying this result, and give an application to universal deformation rings of Galois representations. 