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math.NT2018
On the -adic Langlands correspondence for algebraic tori
Christopher Birkbeck
We extend the results by R.P. Langlands on representations of (connected) abelian algebraic groups. This is done by considering characters into any divisible abelian topological gr…
math.NT2018
-adic slopes of Hilbert modular forms over
Christopher Birkbeck
We show that for arithmetic weights with a fixed finite order character, the slopes of (for ) acting on overconvergent Hilbert modular forms of level are indepe…