34 citations · 118 across the 26 of their papers we have counts for
36 papers
-invariant motivic cohomology of schemes
Tom Bachmann, Elden Elmanto, Matthew Morrow
Voevodsky outlined a conjectural programme that his slice filtration in motivic homotopy theory should give rise to a good theory of -invariant motivic cohomology. Th…
Motivic Steenrod operations at the characteristic via infinite ramification
Toni Annala, Elden Elmanto
We construct motivic power operations on the mod- motivic cohomology of $\Fb_p$-schemes using a motivic refinement of Nizioł's theorem. The key input is a purity theorem for mot…
On filtered algebraic -theory of stacks I: characteristic zero
Elden Elmanto, Dmitry Kubrak, Vladimir Sosnilo
Given a compact Lie group acting on a space , the classical Atiyah-Segal completion theorem identifies topological -theory of the homotopy quotient with an explicit…
Unstable motivic and real-étale homotopy theory
Aravind Asok, Tom Bachmann, Elden Elmanto +1
We prove that for any base scheme , real étale motivic (unstable) homotopy theory over coincides with unstable semialgebraic topology over (that is, sheaves of spaces on…
On the -theory of the -adic unit disk
Elden Elmanto, Noah Riggenbach
In this note, we study the -complete topological cyclic homology of the affine line relative to a ring which is smooth over a perfectoid ring . Denoting by $NTC(A; \mathb…
Proper splittings and projectivity for good moduli spaces
Dori Bejleri, Elden Elmanto, Matthew Satriano
We show that any good moduli space has a splitting after a proper, generically finite covering of . As an application we generalize Kollár's ampleness lem…