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math.NT2013★ 36 cited
Automorphy and irreducibility of some l-adic representations
Stefan Patrikis, Richard Taylor
In this paper we prove that a pure, regular, totally odd, polarizable weakly compatible system of -adic representations is potentially automorphic. The innovation is that we mak…
math.NT2013
On the sign of regular algebraic polarizable automorphic representations
Stefan Patrikis
We remove a parity condition from the construction of automorphic Galois representations carried out in the Paris Book Project. We subsequently generalize this construction to the…
math.AG2013
Mumford-Tate groups of polarizable Hodge structures
Stefan Patrikis
We classify the possible Mumford-Tate groups of polarizable rational Hodge structures. Along the way we deduce a polarized Hodge-theoretic analogue of a conjectural property of mot…