Motivic pp‐adic tame cohomology

Key Points

• A comparison functor is constructed linking tame motives and log-étale motives, enhancing our understanding of cohomological relationships.
• This study results in the creation of a ring spectrum that represents mod tame motivic cohomology, enriching the framework of motives.
• The existence of this ring spectrum leads to important findings on tame motivic cohomology and log-étale motives.
• Supports theoretical advancements in algebraic geometry and enriches comparisons within motivic cohomology.