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Published on 14 Apr 2025

On characteristic elements modulo p in noncommutative Iwasawa theory

Coates, Fukaya, Kato, Sujatha, and Venjakob introduced characteristic elements for modules of arithmetic significance (such as Selmer groups) over a p-adic Lie extension. By their construction, these characteristic elements are realized as element in an appropriate localized K_1 group. In this talk, we introduce a notion of “reduction modulo p” for these characteristic elements and discuss some of its properties. This is a joint work with Chao Qin.