55 citations · 199 across the 32 of their papers we have counts for
4 papers · 1 filter
Notes on motivic infinite loop space theory
Tom Bachmann, Elden Elmanto
In fall of 2019, the Thursday Seminar at Harvard University studied motivic infinite loop space theory. As part of this, the authors gave a series of talks outlining the main theor…
Voevodsky's slice conjectures via Hilbert schemes
Tom Bachmann, Elden Elmanto
Using recent development in motivic infinite loop space theory, we offer short and conceptual reproofs of some conjectures of Voevodsky's on the slice filtration using the biration…
On the infinite loop spaces of algebraic cobordism and the motivic sphere
Tom Bachmann, Elden Elmanto, Marc Hoyois +3
We obtain geometric models for the infinite loop spaces of the motivic spectra , , and over a field. They are motivically equivalent to $\m…
Nilpotence in normed MGL-modules
Tom Bachmann, Jeremy Hahn
We establish a motivic version of the May Nilpotence Conjecture: if E is a normed motivic spectrum that satisfies , then also . In word…