COMPUTING HOMOLOGICAL RESIDUE FIELDS IN ALGEBRA AND TOPOLOGY

被引：5

作者：

Balmer, Paul ^{[1
]}

Cameron, James C. ^{[1
]}

机构：

[1] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2021年 / 149卷 / 08期

关键词：

Tensor-triangular geometry; homological residue field; RING;

D O I：

10.1090/proc/15412

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：3177 / 3185

页数：9

共 15 条

[1]

[Anonymous], 2020, J EC POLYTECH MATH, V7, P1069, DOI [10.5802/jep.135, DOI 10.5802/JEP.135]

[2] A simple universal property of Thom ring spectra [J].

Antolin-Camarena, Omar ;

Barthel, Tobias .

JOURNAL OF TOPOLOGY, 2019, 12 (01) :56-78

[3] Nilpotence theorems via homological residue fields [J].

Balmer, Paul .

TUNISIAN JOURNAL OF MATHEMATICS, 2020, 2 (02) :359-378

[4] Tensor-triangular fields: ruminations [J].

Balmer, Paul ;

Krause, Henning ;

Stevenson, Greg .

SELECTA MATHEMATICA-NEW SERIES, 2019, 25 (01)

[5] The spectrum of the equivariant stable homotopy category of a finite group [J].

Balmer, Paul ;

Sanders, Beren .

INVENTIONES MATHEMATICAE, 2017, 208 (01) :283-326

[6] On the Balmer spectrum for compact Lie groups [J].

Barthel, Tobias ;

Greenlees, J. P. C. ;

Hausmann, Markus .

COMPOSITIO MATHEMATICA, 2020, 156 (01) :39-76

[7] STRATIFICATION FOR MODULE CATEGORIES OF FINITE GROUP SCHEMES [J].

Benson, Dave ;

Iyengar, Srikanth B. ;

Krause, Henning ;

Pevtsova, Julia .

JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 2018, 31 (01) :265-302

[8] THE VARIETIES AND THE CO-HOMOLOGY RING OF A MODULE [J].

CARLSON, JF .

JOURNAL OF ALGEBRA, 1983, 85 (01) :104-143

[9]

Carlson JF, 2017, NEW YORK J MATH, V23, P351

[10] Representation-theoretic support spaces for finite group schemes [J].

Friedlander, EM ;

Pevtsova, J .

AMERICAN JOURNAL OF MATHEMATICS, 2005, 127 (02) :379-420

← 1 2 →