Anderson and Gorenstein Duality

J. P.C. Greenlees, V. Stojanoska

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The paper relates the Gorenstein duality statements of Dwyer, Greenlees, Iyengar (Adv Math 200(2):357–402, 2006, [1]), Dwyer, Greenlees, Iyengar (J K-Theory 8(1):107–133, 2011, [2]) to the Anderson duality statements of Vesna Stojanoska (Duality for Topological Modular Forms, ProQuest LLC, Ann Arbor, MI, 2011, Thesis (Ph.D.)–Northwestern University, [3]), Vesna Stojanoska (Doc Math 17:271–311, 2012, [4]), and explains how to use local cohomology and invariant theory to understand the numerology of shifts in simple cases.

Original languageEnglish (US)
Title of host publicationGeometric and Topological Aspects of the Representation Theory of Finite Groups - PIMS Summer School and Workshop, 2016
EditorsSrikanth B. Iyengar, Julia Pevtsova, Jon F. Carlson
PublisherSpringer New York LLC
Pages105-130
Number of pages26
ISBN (Print)9783319940328
DOIs
Publication statusPublished - Jan 1 2018
EventPIMS Summer School and Workshop on Geometric Methods in the Representation Theory of Finite Groups, 2016 - Vancouver, Canada
Duration: Jul 27 2016Aug 5 2016

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume242
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Other

OtherPIMS Summer School and Workshop on Geometric Methods in the Representation Theory of Finite Groups, 2016
CountryCanada
CityVancouver
Period7/27/168/5/16

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ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Greenlees, J. P. C., & Stojanoska, V. (2018). Anderson and Gorenstein Duality. In S. B. Iyengar, J. Pevtsova, & J. F. Carlson (Eds.), Geometric and Topological Aspects of the Representation Theory of Finite Groups - PIMS Summer School and Workshop, 2016 (pp. 105-130). (Springer Proceedings in Mathematics and Statistics; Vol. 242). Springer New York LLC. https://doi.org/10.1007/978-3-319-94033-5_5