Computing homological residue fields in algebra and topology-Reference-Cited by-同舟云学术

Computing homological residue fields in algebra and topology

Published:2021-05-07 Issue:8 Volume:149 Page:3177-3185
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Balmer Paul,Cameron James

Abstract

We determine the homological residue fields, in the sense of tensor-triangular geometry, in a series of concrete examples ranging from topological stable homotopy theory to modular representation theory of finite groups.

Funder

National Science Foundation

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

https://www.ams.org/proc/2021-149-08/S0002-9939-2021-15412-9/proc15412_AM.pdf

Reference15 articles.

1. A simple universal property of Thom ring spectra;Antolín-Camarena, Omar;J. Topol.,2019

2. Homological support of big objects in tensor-triangulated categories;Balmer, Paul;J. \'{E}c. polytech. Math.,2020

3. Nilpotence theorems via homological residue fields;Balmer, Paul;Tunis. J. Math.,2020

4. Tensor-triangular fields: ruminations;Balmer, Paul;Selecta Math. (N.S.),2019

5. The spectrum of the equivariant stable homotopy category of a finite group;Balmer, Paul;Invent. Math.,2017

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