Published on *Max Planck Institute for Mathematics* (https://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

Robin Bartlett
Affiliation:

King's College London/MPIM
Date:

Wed, 2019-04-10 14:30 - 15:30 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.

**Links:**

[1] https://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] https://www.mpim-bonn.mpg.de/node/3444

[3] https://www.mpim-bonn.mpg.de/node/246