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math.AT2019
Monochromatic homotopy theory is asymptotically algebraic
Tobias Barthel, Tomer M. Schlank, Nathaniel Stapleton
In previous work, we used an -categorical version of ultraproducts to show that, for a fixed height , the symmetric monoidal -categories of -local spect…
math.AT2019
A short introduction to the telescope and chromatic splitting conjectures
Tobias Barthel
In this note, we give a brief overview of the telescope conjecture and the chromatic splitting conjecture in stable homotopy theory. In particular, we provide a proof of the folklo…
math.AT2019
Chromatic structures in stable homotopy theory
Tobias Barthel, Agnès Beaudry
In this survey, we review how the global structure of the stable homotopy category gives rise to the chromatic filtration. We then discuss computational tools used in the study of…