10 citations · 22 across the 13 of their papers we have counts for
18 papers
Splitting results for normed motivic spectra
Tom Bachmann, Elden Elmanto, Jeremiah Heller
We prove that the universal normed motivic spectrum of characteristic 2 over a scheme on which 2 is a unit, splits into a sum of motivic Eilenberg--MacLane spectra.
Motivic colimits and extended powers
Tom Bachmann, Elden Elmanto, Jeremiah Heller
We define a notion of colimit for diagrams in a motivic category indexed by a presheaf of spaces (e.g. an étale classifying space), and we study basic properties of this constructi…
The tom Dieck splitting theorem in equivariant motivic homotopy theory
David Gepner, Jeremiah Heller
We establish, in the setting of equivariant motivic homotopy theory for a finite group, a version of tom Dieck's splitting theorem for the fixed points of a suspension spectrum. Al…
Rigidity for equivariant pseudo pretheories
Jeremiah Heller, Charanya Ravi, Paul Arne Østvær
We prove versions of the Suslin and Gabber rigidity theorems in the setting of equivariant pseudo pretheories of smooth schemes over a field with an action of a finite group. Examp…
Free -complexes and -DG modules
Jeremiah Heller, Marc Stephan
We reformulate the problem of bounding the total rank of the homology of perfect chain complexes over the group ring of an elementary abelian -group in ter…
Some remarks on topological -theory of dg categories
Benjamin Antieau, Jeremiah Heller
Using techniques from motivic homotopy theory, we prove a conjecture of Anthony Blanc about semi-topological K-theory of dg categories with finite coefficients. Along the way, we s…
The stable Galois correspondence for real closed fields
J. Heller, K. Ormsby
In previous work, the authors constructed and studied a lift of the Galois correspondence to stable homotopy categories. In particular, if is a finite Galois extension of fie…
K-theoretic obstructions to bounded t-structures
Benjamin Antieau, David Gepner, Jeremiah Heller
Schlichting conjectured that the negative K-groups of small abelian categories vanish and proved this for noetherian abelian categories and for all abelian categories in degree $-1…
Primes and fields in stable motivic homotopy theory
Jeremiah Heller, Kyle Ormsby
Let F be a field of characteristic different than 2. We establish surjectivity of Balmer's comparison map rho^* from the tensor triangular spectrum of the homotopy category of comp…
Topological comparison theorems for Bredon motivic cohomology
Jeremiah Heller, Mircea Voineagu, Paul Arne Ostvaer
We prove equivariant versions of the Beilinson-Lichtenbaum conjecture for Bredon motivic cohomology of smooth complex and real varieties with an action of the group of order two. T…
Motivic homotopy theory of group scheme actions
Jeremiah Heller, Amalendu Krishna, Paul Arne Ostvaer
We define an unstable equivariant motivic homotopy category for an algebraic group over a Noetherian base scheme. We show that equivariant algebraic -theory is representable in…
Galois equivariance and stable motivic homotopy theory
J. Heller, K. Ormsby
For a finite Galois extension of fields L/k with Galois group G, we study a functor from the G-equivariant stable homotopy category to the stable motivic homotopy category over k i…
Motivic strict ring spectra representing semi-topological cohomology theories
Jeremiah Heller
We show that Shipley's "detection functor" for symmetric spectra generalizes to motivic symmetric spectra. As an application, we construct motivic strict ring spectra representing…
Equivariant cycles and cancellation for motivic cohomology
Jeremiah Heller, Mircea Voineagu, Paul Arne Ostvaer
We introduce a Bredon motivic cohomology theory for smooth schemes defined over a field and equipped with an action by a finite group. These cohomology groups are defined for finit…
Equivariant semi-topological K-homology and a theorem of Thomason
Jeremiah Heller, Jens Hornbostel
We generalize several comparison results between algebraic, semi-topological and topological K-theories to the equivariant case with respect to a finite group.
Remarks on filtrations of the homology of real varieties
Jeremiah Heller, Mircea Voineagu
We demonstrate that a conjecture of Teh which relates the niveau filtration on Borel-Moore homology of real varieties and the images of generalized cycle maps from reduced Lawson h…
Equivariant Semi-topological Invariants, Atiyah's KR-theory, and Real Algebraic Cycles
Jeremiah Heller, Mircea Voineagu
We establish an Atiyah-Hirzebruch type spectral sequence relating real morphic cohomology and real semi-topological K-theory and prove it to be compatible with the Atiyah-Hirzebruc…
Equivariant Algebraic Cobordism
Jeremiah Heller, Jose Malagon-Lopez
We construct an equivariant algebraic cobordism theory for schemes with an action by a linear algebraic group over a field of characteristic zero.