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math.AG2020
G-rigid local systems are integral
Christian Klevdal, Stefan Patrikis
Let be a reductive group, and let be a smooth quasi-projective complex variety. We prove that any -irreducible, -cohomologically rigid local system on with finite…
math.NT2020
Lifting and automorphy of reducible mod p Galois representations over global fields
Najmuddin Fakhruddin, Chandrashekhar Khare, Stefan Patrikis
We extend the lifting methods of our previous paper to lift reducible odd representations of Galois groups of global fields valued…