Seminar der Forschergruppe 'Symmetrie, Geometrie und Arithmetik'

For a reductive group G and a local field K, consider the universal deformation ring of a G-valued representation of the absolute Galois group of K. We show that the subset of potentially semi-stable or potentially crystalline deformations with a given fixed Hodge type and Galois type cuts out a closed subscheme of its generic fiber. We show that the potentially crystalline deformation ring is formally smooth and compute its dimension. We apply this to study a global deformation ring and give a presentation with an interesting property.

Freitag, den 7. Juni 2013 um 13:30 Uhr, in INF 288, HS2 Freitag, den 7. Juni 2013 at 13:30, in INF 288, HS2