STNB2025 (38th edition)
Modular Tags in Number Fields
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Abstract
In this presentation, we will first explore a naive version of Langland's program. Following this discussion, we will introduce the embedding Galois problems of Herbrand-Ribet type. This leads to a computational project aimed at tagging normal number fields in the LMFDB database with a modular mark. We will illustrate this initiative with two detailed examples.
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