Multiplicative Structures on Brown–Peterson Spectra at Odd Primes
Name
senger-senger-phd-math-2021-thesis.pdf
Description
Thesis PDF
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391.11 KB
Format
Adobe PDF
Checksum (MD5)
ee76eef83e3dc852379079130a3f87ff
Author(s)
Senger, Andrew
Advisor(s)
Miller, Haynes
Date Issued
June 2021
Publisher
Massachusetts Institute of Technology
Abstract
We show that the odd-primary Brown-Peterson spectrum does not admit the structure of an E₂₍ₚ^₂ ₊₂₎ ring spectrum and that there can be no map MU → BP of E₂ₚ₊₃ ring spectra for odd primes p. This extends results of Lawson at the prime 2.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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