论文标题

光谱的同质组和$ ​​p $ -ADIC $ L $ - 完全真实的数字字段

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

论文作者

Fernandez, Guillem Sala

论文摘要

本文的目的是说明在完全真正的交换性和非交通性的伊瓦泽理论中理解欧拉特征的不同方法。除此之外,本着Hesselholt和Mitchell的精神,我们还展示了这些对象如何与同型理论不变性相互作用,例如($ k(1)$ - 本地)$ k $ - 理论和拓扑循环同源性。

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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