This is a preview. Log in through your library . Abstract We study ${\rm Gal}(\overline{{\Bbb Q}}/{\Bbb Q})\text{-actions}$ on the fundamental groups arising in deformation of maximally degenerate ...

Our research group is concerned with two lines of investigation: the construction and study of (new) cohomology theories for algebraic varieties and the study of various aspects of the Langlands ...

Arithmetic dynamics investigates the behaviour of iterated functions—often polynomials or rational maps—over number fields and function fields, while Galois theory provides the framework to analyse ...

This is a preview. Log in through your library . Abstract Let un be a nondegenerate Lucas sequence. We generalize the results of Bugeaud, Mignotte, and Siksek (2006) to give a systematic approach ...

Current Projects • EXC 2044 - A1: Arithmetic, geometry and representations The Langlands programme relates representations of (the adele valued points of) reductive groups G over Q - so-called ...