@inproceedings{4e3d71fb98da4699adf0d2ec3ae1f585,
title = "Isogenies, power operations, and homotopy theory",
abstract = "The modern understanding of the homotopy theory of spaces and spectra is organized by the chromatic philosophy, which relates phenomena in homotopy theory with the moduli of onedimensional formal groups. In this paper, we describe how certain phenomena K(n)-local homotopy can be computed from knowledge of isogenies of deformations of formal groups of height n.",
keywords = "Formal groups, Homotopy theory, Power operations",
author = "Charles Rezk",
note = "Acknowledgements. The author{\textquoteright}s work described in this paper was supported by the NSF under grants DMS-0505056 and DMS-1006054, and was written while the author was in residence at the Mathematical Sciences Research Institute in Berkeley, California, during the Spring 2014 semester supported by NSF grant 093207800.; 2014 International Congress of Mathematicans, ICM 2014 ; Conference date: 13-08-2014 Through 21-08-2014",
year = "2014",
language = "English (US)",
series = "Proceeding of the International Congress of Mathematicans, ICM 2014",
publisher = "KYUNG MOON SA Co. Ltd.",
pages = "1125--1145",
editor = "Jang, \{Sun Young\} and Kim, \{Young Rock\} and Dae-Woong Lee and Ikkwon Yie",
booktitle = "Invited Lectures",
}