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arXiv · 1511.00586

Strong local-global phenomena for Galois and automorphic representations

Kimball Martin
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Abstract

Many results are known regarding how much local information is required to determine a global object, such as a modular form, or a Galois or automorphic representation. We survey 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 infinite sets of places.

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Kimball Martin. 2015-11-02. Strong local-global phenomena for Galois and automorphic representations. https://arxiv.org/abs/1511.00586

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