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Speaker:
Robin Bartlett
Zugehörigkeit:
King's College London/MPIM
Datum:
Mit, 10/04/2019 - 14:30 - 15:30
Location:
MPIM Lecture Hall
Parent event:
Number theory lunch seminar A conjecture of Fontaine--Mazur predicts that many Galois representations arise from geometry. In some cases this conjecture has been proven; an important ingredient in the arguments is an understanding of the geometry of some deformation spaces of Galois representations. I will give an overview of this link, and then will explain an extension of a method, originally due to Kisin, which produces a resolution of these spaces via semi-linear algebra. As a result we can say something about the irreducible components of crystalline deformation rings with Hodge--Tate weights between 0 and p, for unramified extensions of Qp.
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