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math.AG2022★ 1 cited
The Multiplicative Structures on Motivic Homotopy Groups
Daniel Dugger, Bjørn Ian Dundas, Daniel C. Isaksen +1
We reconcile the multiplications on the homotopy rings of motivic ring spectra used by Voevodsky and Dugger. While the connection is elementary and similar phenomena have been obse…
math.KT2022
Applications of topological cyclic homology to algebraic K-theory
Bjørn Ian Dundas
Algebraic K-theory has applications in a broad range of mathematical subjects, from number theory to functional analysis. It is also fiendishly hard to calculate. Presently there a…
math.AG2022
Hochschild homology of mod- motivic cohomology over algebraically closed fields
Bjørn Ian Dundas, Michael A. Hill, Kyle Ormsby +1
We perform Hochschild homology calculations in the algebro-geometric setting of motives. The motivic Hochschild homology coefficient ring contains torsion classes which arise from…