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Title: Algebraic K-theory, Traces, and Arithmetic
The connections between l-adic algebraic K-theory and \'etale cohomology have played a central role in the development of the former. In the p-adic context, a key computational tool is the cyclotomic trace to topological cyclic homology, which has close connections to prismatic cohomology. I will describe some aspects of the p-adic picture.