BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Irreducible components of crystalline deformation rings with weights at most p Bartlett, Robin


A key idea from Kisin's work on crystalline and semistable deformation rings involves constructing resolutions of these rings via moduli of Breuil-Kisin modules. For crystalline deformations with Hodge-Tate weights 0 or 1 the geometry of these resolutions closely models that of the deformation rings themselves, but for higher weights they are too large. I will explain a refinement of this approach which can be used to prove, for unramified extensions of $\mathbf{Q}_p$, potential diagonalisability of crystalline representations with weights $\le p$.

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