Homotopy groups of spectra and $p$-adic $L$-functions over totally real number fields

Guillem Sala Fernandez

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arXiv · 2206.14783

Homotopy groups of spectra and $p$-adic $L$-functions over totally real number fields

Guillem Sala Fernandez

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Abstract

The goal of this paper is to illustrate different approaches to understand Euler characteristics in the setting of totally real commutative and non-commutative Iwasawa theory. In addition to this, and in the spirit of Hesselholt and Mitchell, we show how these objects interact with homotopy theoretic invariants such as ($K(1)$-local) $K$-theory and Topological Cyclic homology.

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Guillem Sala Fernandez. 2022-06-29. Homotopy groups of spectra and $p$-adic $L$-functions over totally real number fields. https://arxiv.org/abs/2206.14783

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