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A short introduction to the telescope and chromatic splitting conjectures

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Barthel,  Tobias
Max Planck Institute for Mathematics, Max Planck Society;

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Citation

Barthel, T. (2020). A short introduction to the telescope and chromatic splitting conjectures. In T. Ohsawa, & N. Minami (Eds.), Bousfield Classes and Ohkawa’s Theorem: Nagoya, Japan, August 28-30, 2015 (pp. 261-273). Cham: Springer.


Cite as: https://hdl.handle.net/21.11116/0000-0006-CC98-9
Abstract
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 folklore result that Ravenel's telescope conjecture for
all heights combined is equivalent to the generalized telescope conjecture for
the stable homotopy category, and explain some similarities with modular
representation theory.