scholarly journals Derived Galois deformation rings

2018 ◽  
Vol 327 ◽  
pp. 470-623 ◽  
Author(s):  
S. Galatius ◽  
A. Venkatesh
Keyword(s):  
Deformation Rings ◽  
Galois Deformation

scholarly journals $G$-valued Galois deformation rings when $\ell \neq p$

2019 ◽  
Vol 26 (4) ◽  
pp. 973-990
Author(s):  
Jeremy Booher ◽  
Stefan Patrikis
Keyword(s):  
Deformation Rings ◽  
Galois Deformation

scholarly journals GLOBALLY REALIZABLE COMPONENTS OF LOCAL DEFORMATION RINGS

2020 ◽  
pp. 1-70
Author(s):  
Frank Calegari ◽  
Matthew Emerton ◽  
Toby Gee
Keyword(s):  
Galois Representations ◽  
Local Deformation ◽  
Deformation Rings ◽  
Galois Deformation

Let $n$ be either  $2$ or an odd integer greater than  $1$ , and fix a prime  $p>2(n+1)$ . Under standard ‘adequate image’ assumptions, we show that the set of components of $n$ -dimensional $p$ -adic potentially semistable local Galois deformation rings that are seen by potentially automorphic compatible systems of polarizable Galois representations over some CM field is independent of the particular global situation. We also (under the same assumption on  $n$ ) improve on the main potential automorphy result of Barnet-Lamb et al. [Potential automorphy and change of weight, Ann. of Math. (2) 179(2) (2014), 501–609], replacing ‘potentially diagonalizable’ by ‘potentially globally realizable’.

scholarly journals Universal deformation rings and tame blocks

2014 ◽  
Vol 412 ◽  
pp. 87-106
Author(s):  
Frauke M. Bleher ◽  
Giovanna Llosent ◽  
Jennifer B. Schaefer
Keyword(s):  
Universal Deformation Rings ◽  
Deformation Rings
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