Modularity of Galois representations and motives with good reduction properties
Chandrashekhar Khare
Abstract
Chandrashekhar Khare
Abstract
Abstract. This article consists of rather informal musings about relationships between Galois representations, motives and automorphic forms. These are occasioned by recent progress on Serre’s conjecture in the articles [50,44,51,52]. 2000 MSC: 11F80, 11F70, 14H30, 11R34. 11M06. 1.
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Abstract. This article consists of rather informal musings about relationships between Galois representations, motives and automorphic forms. These are occasioned by recent progress on Serre’s conjecture in the articles [50,44,51,52]. 2000 MSC: 11F80, 11F70, 14H30, 11R34. 11M06. 1.
Key concepts: Galois module, Mathematics, Conjecture, Fundamental theorem of Galois theory, Modularity (biology), Embedding problem, Pure mathematics, Galois group