5 papers
A Nilpotence Theorem for Rational Rigid 2-Rings of Moderate Growth
Logan Hyslop
In this short note, we prove a general nilpotence theorem for a rational rigid 2-ring all of whose objects satisfy a certain ``moderate growth condition'' inspired from the theory…
Special Values without Semi-Simplicity Via K-Theory
Logan Hyslop
In this paper, motivated by studying special values of zeta functions attached to finite type F_p-schemes, we introduce a category of ``arithmetic C(S^1,R)-modules'' attached to an…
Geometric Points in Tensor Triangular Geometry
Tobias Barthel, Logan Hyslop, Maxime Ramzi
In this paper, we study geometric points in tensor triangular geometry. In doing so, we construct a counter-example to Balmer's Nerves of Steel conjecture using free constructions…
Towards the Nerves of Steel Conjecture
Logan Hyslop
Given a local -triangulated category, and a fiber sequence , one may ask if there is always a nonzero object such that either or $z\otimes g…
Whitehead Filtrations for Computations in Topological Hochschild Homology
Logan Hyslop
We discuss spectral sequences coming from Whitehead filtrations in the computation of topological Hochschild homology of ring spectra. Using cyclic invariance, this makes for simpl…