33 citations · 45 across the 11 of their papers we have counts for
11 papers · 1 filter
Chromatic Cardinalities via Redshift
Shay Ben-Moshe, Shachar Carmeli, Tomer M. Schlank +1
Using higher descent for chromatically localized algebraic -theory, we show that the higher semiadditive cardinality of a -finite -space at the Lubin-Tate spectrum $E_…
Homotopy Cardinality via Extrapolation of Morava-Euler Characteristics
Lior Yanovski
We answer a question of John Baez, on the relationship between the classical Euler characteristic and the Baez-Dolan homotopy cardinality, by constructing a unique additive common…
The Chromatic Fourier Transform
Tobias Barthel, Shachar Carmeli, Tomer M. Schlank +1
We develop a general theory of higher semiadditive Fourier transforms that includes both the classical discrete Fourier transform for finite abelian groups at height , as well…
Characters and transfer maps via categorified traces
Shachar Carmeli, Bastiaan Cnossen, Maxime Ramzi +1
We develop a theory of generalized characters of local systems in -categories, which extends classical character theory for group representations and, in particular, the in…
The Monadic Tower for -Categories
Lior Yanovski
Every right adjoint functor between presentable -categories is shown to decompose canonically as a coreflection, followed by, possibly transfinitely many, monadic functors.…
Chromatic Cyclotomic Extensions
Shachar Carmeli, Tomer M. Schlank, Lior Yanovski
We construct Galois extensions of the T(n)-local sphere, lifting all finite abelian Galois extensions of the K(n)-local sphere. This is achieved by realizing them as higher semiadd…
Ambidexterity and Height
Shachar Carmeli, Tomer M. Schlank, Lior Yanovski
We introduce and study the notion of \emph{semiadditive height} for higher semiadditive -categories, which generalizes the chromatic height. We show that the higher semiadd…
On d-Categories and d-Operads
Tomer M. Schlank, Lior Yanovski
We extend the theory of d-categories, by providing an explicit description of the right mapping spaces of the d-homotopy category of an -category. Using this description, w…
Ambidexterity in Chromatic Homotopy Theory
Shachar Carmeli, Tomer M. Schlank, Lior Yanovski
We extend the theory of ambidexterity developed by M. J. Hopkins and J. Lurie and show that the -categories of -local spectra are -semiadditive for all , w…
The -Categorical Eckmann-Hilton Argument
Tomer Schlank, Lior Yanovski
We define a reduced -operad to be -connected if the spaces , of -ary operations, are -connected for all . Let $\mat…
On Conjugates and Adjoint Descent
Asaf Horev, Lior Yanovski
In this note we present an -categorical framework for descent along adjunctions and a general formula for counting conjugates up to equivalence which unifies several known…