3 papers
math.KT2025
-perfection and group completion of -monoids
Maxime Ramzi, Maria Yakerson
We study -monoids on which a prime acts invertibly, which we call -perfect, in the non-group-complete situation. In particular, we prove that in many exam…
math.KT2025
The motivic Adams conjecture
Alexey Ananyevskiy, Elden Elmanto, Oliver Röndigs +1
We solve a motivic version of the Adams conjecture with the exponential characteristic of the base field inverted. In the way of the proof we obtain a motivic version of mod k Dold…
math.AT2025
An Alternative to Spherical Witt Vectors
Thomas Nikolaus, Maria Yakerson
We give a direct construction of the ring spectrum of spherical Witt vectors of a perfect -algebra R as the completion of the spherical monoid algebra …