Zobrazeno 1 - 10
of 66
pro vyhledávání: '"Heller, Jeremiah"'
We use motivic colimits to construct power operations on the homotopy groups of normed motivic spectra admitting a (normed) map from HF_2. We establish enough of their standard properties to prove that the motivic dual Steenrod algebra is generated b
Externí odkaz:
http://arxiv.org/abs/2210.07150
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.
Externí odkaz:
http://arxiv.org/abs/2210.07137
Over the complex numbers, we compute the $C_2$-equivariant Bredon motivic cohomology ring with $\mathbb{Z}/2$ coefficients. By rigidity, this extends Suslin's calculation of the motivic cohomology ring of algebraically closed fields of characteristic
Externí odkaz:
http://arxiv.org/abs/2202.12366
We define a notion of colimit for diagrams in a motivic category indexed by a presheaf of spaces (e.g. an \'etale classifying space), and we study basic properties of this construction. As a case study, we construct the motivic analogs of the classic
Externí odkaz:
http://arxiv.org/abs/2104.01057
Autor:
Gepner, David, Heller, Jeremiah
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. Along the way we establish structural results and constructions for equi
Externí odkaz:
http://arxiv.org/abs/1910.11485
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. Examples include equivariant algebraic $K$-theory, presheaves with equivari
Externí odkaz:
http://arxiv.org/abs/1810.00649
Autor:
Heller, Jeremiah, Stephan, Marc
Publikováno v:
J. Algebra 565 (2021) 221-254
We reformulate the problem of bounding the total rank of the homology of perfect chain complexes over the group ring $\mathbb{F}_p[G]$ of an elementary abelian $p$-group $G$ in terms of commutative algebra. This extends results of Carlsson for $p=2$
Externí odkaz:
http://arxiv.org/abs/1805.06854
Autor:
Antieau, Benjamin, Heller, Jeremiah
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 show that the connective semi-topological K-theories defined by Friedla
Externí odkaz:
http://arxiv.org/abs/1709.01587
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 $-1$. The main results of this paper are that $K_{-1}(E)$ vanishes when $
Externí odkaz:
http://arxiv.org/abs/1610.07207
Autor:
Heller, Jeremiah, Ormsby, Kyle
Publikováno v:
Geom. Topol. 22 (2018) 2187-2218
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 compact motivic spectra to the homogeneous Zariski spectrum of Milnor-Witt
Externí odkaz:
http://arxiv.org/abs/1608.02876