3 papers
math.KT2020
Algebraic K-theory and Grothendieck-Witt theory of monoid schemes
Jens Niklas Eberhardt, Oliver Lorscheid, Matthew B. Young
We study the algebraic -theory and Grothendieck-Witt theory of proto-exact categories of vector bundles over monoid schemes. Our main results are the complete description of the…
math.KT2020
Group completion in the K-theory and Grothendieck-Witt theory of proto-exact categories
Jens Niklas Eberhardt, Oliver Lorscheid, Matthew B. Young
We study the algebraic -theory and Grothendieck-Witt theory of proto-exact categories, with a particular focus on classes of examples of -linear nature. Our main r…
math.RT2018
Springer Motives
Jens Niklas Eberhardt
We show that the motive of a Springer fiber is pure Tate. We then consider a category of equivariant Springer motives on the nilpotent cone and construct an equivalence to the deri…