1 results
Generic local deformation rings when
$l \neq p$
- Part of
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- Journal:
- Compositio Mathematica / Volume 158 / Issue 4 / April 2022
- Published online by Cambridge University Press:
- 03 June 2022, pp. 721-749
- Print publication:
- April 2022
-
- Article
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We determine the local deformation rings of sufficiently generic mod
$l$ representations of the Galois group of a 
$p$-adic field, when 
$l \neq p$, relating them to the space of 
$q$-power-stable semisimple conjugacy classes in the dual group. As a consequence, we give a local proof of the 
$l \neq p$ Breuil–Mézard conjecture of the author, in the tame case.
