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Detalles Bibliográficos
Autor principal: Goldfarb, Alan
Formato: Preprint
Publicado: 2023
Materias:
Acceso en línea:https://arxiv.org/abs/2306.10227
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  • We determine the relationship between $\mathbb{C}_p^\times \times \mathbb{C}_p$ and a Berkovich space via an equivalence relation obtained by coarse-graining. This process also establishes a correspondence between $p$-adic fields and Bruhat-Tits trees. From this space, we give a previously unknown construction of the Berkovich projective line $\mathbb{P}_\text{Berk}^1$ and outline a direction for the development of a comprehensive theory of non-Archimedean AdS/CFT and consequently, adelic AdS/CFT, enabled by this construction.