Rank functions on triangulated categories, homotopy theory and representations of finite groups
Lead Research Organisation:
City, University of London
Department Name: Sch of Engineering and Mathematical Sci
Abstract
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Organisations
People |
ORCID iD |
Joseph Chuang (Principal Investigator) |
Publications
Chuang J
(2021)
Rank functions on triangulated categories
in Journal für die reine und angewandte Mathematik (Crelles Journal)
Bayinder HO
(2023)
ADJUNCTION OF ROOTS, ALGEBRAIC K-THEORY AND CHROMATIC REDSHIFT
Chuang J
(2023)
One-sided localisation in dg categories
Bayinder HO
(2023)
ALGEBRAIC K-THEORY OF THE TWO-PERIODIC FIRST MORAVA K-THEORY
Description | The work on rank functions has been continued, leading to a publication which appeared in October 2021. Further research has been developed on rank functions, one-sided localisations, algebraic K-theory, dg coLiealgebras and Calabi-Yau and Gorenstein algebras. A preprint on one-sided localisation was produced in 2023. Two preprints on Algebraic K-Theory were produced in 2023, and one of these has been accepted for publication. Manuscripts on the algebraic K-theory of finite abelian groups and Koszul duality for dg coLiealgebras are in preparation. |
Exploitation Route | The outcomes will be of interest and use to mathematicians. |
Sectors | Other |