Ciperiani, Mirela, 1976-2014-06-252017-05-112017-05-112014-05May 2014http://hdl.handle.net/2152/24817textThis thesis is divided into two parts. In the first, we generalize results of Greenberg-Vatsal on the behavior of algebraic lambda-invariants of p-ordinary modular forms under congruence. In the second, we generalize a result of Emerton on maps between locally algebraic parabolically induced representations and unitary Banach space representations of GL₂ over a p-adic field.application/pdfenRepresentation theoryIwasawa theoryThesis2014-06-25