# STRONG LOCAL{GLOBAL PHENOMENA FOR GALOIS AND AUTOMORPHIC REPRESENTATIONS

@article{Martin2015STRONGLP, title={STRONG LOCAL\{GLOBAL PHENOMENA FOR GALOIS AND AUTOMORPHIC REPRESENTATIONS}, author={Kimball Martin}, journal={arXiv: Number Theory}, year={2015} }

Many results are known regarding how much local information is re- quired to determine a global object, such as a modular form, or a Galois or auto- morphic representation. We begin by surveying some things that are known and expected, and then explain recent joint work with Dinakar Ramakrishnan about comparing degree 2 Artin and automorphic representations which a priori may not correspond at certain innite

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