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math.AT2022
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…
math.AT2020
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…
math.AT2018
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…