61 citations · 231 across the 39 of their papers we have counts for
45 papers
The homological slice spectral sequence in motivic and Real bordism
Christian Carrick, Michael A. Hill, Douglas C. Ravenel
For a motivic spectrum , let denote the global sections spectrum, where is viewed as a sheaf of spectra on . Voevodsky's slice filtr…
Norms for compact Lie groups in equivariant stable homotopy theory
Andrew J. Blumberg, Michael A. Hill, Michael A. Mandell
We propose a construction of an analogue of the Hill-Hopkins-Ravenel relative norm in the context of a positive dimensional compact Lie group and closed subgroup $H…
Counting compatible indexing systems for
Michael A. Hill, Jiayun Meng, Nan Li
We count the number of compatible pairs of indexing systems for the cyclic group . Building on work of Balchin--Barnes--Roitzheim, we show that this sequence of natural nu…
On the slice spectral sequence for quotients of norms of Real bordism
Agnès Beaudry, Michael A. Hill, Tyler Lawson +2
In this paper, we investigate equivariant quotients of the Real bordism spectrum's multiplicative norm by permutation summands. These quotients are of interest b…
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…
Real topological Hochschild homology via the norm and Real Witt vectors
Gabriel Angelini-Knoll, Teena Gerhardt, Michael A. Hill
We prove that Real topological Hochschild homology can be characterized as the norm from the cyclic group of order to the orthogonal group . From this perspective, we the…