Rank functions on triangulated categories, homotopy theory and representations of finite groups

Lead Research Organisation: City St George's, University of London
Department Name: Sch of Engineering and Mathematical Sci

Abstract

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Publications

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Chuang J (2021) Rank functions on triangulated categories in Journal für die reine und angewandte Mathematik (Crelles Journal)

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Chuang J (2023) One-sided localisation in dg categories

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Bayinder HO (2023) ADJUNCTION OF ROOTS, ALGEBRAIC K-THEORY AND CHROMATIC REDSHIFT

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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