Résume | Selmer groups of Galois representations play an important role innumbertheory.It is a generalization of ideal class groups, and the celebrated conjectureof Bloch and Kato predicts a relation with mysterious L-values. Inthetalk, I will consider the F_p -version of the Selmer group of the adjointrepresentation of an 2-dimensional representation, and try to givetheexact dimension in terms of other basic invariants. It is related todeformation theory of Galois representations and the tangent spacecalculations. |