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Hermitian K-theory via oriented Gorenstein algebras

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cris.lastimport.scopus2024-02-12T19:52:11Z
dc.abstract.enWe show that the hermitian K-theory space of a commutative ring R can be identified, up to A1 -homotopy, with the group completion of the groupoid of oriented finite Gorenstein R-algebras, i.e., finite locally free R-algebras with trivialized dualizing sheaf. We deduce that hermitian K-theory is universal among generalized motivic cohomology theories with transfers along oriented finite Gorenstein morphisms. As an application, we obtain a Hilbert scheme model for hermitian K-theory as a motivic space. We also give an application to computational complexity: we prove that 1-generic minimal border rank tensors degenerate to the big Coppersmith–Winograd tensor.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorYakerson, Maria
dc.contributor.authorNardin, Denis
dc.contributor.authorJelisiejew, Joachim
dc.contributor.authorHoyois, Marc
dc.date.accessioned2024-01-25T03:03:07Z
dc.date.available2024-01-25T03:03:07Z
dc.date.issued2022
dc.description.financeNie dotyczy
dc.description.number793
dc.description.volume2022
dc.identifier.doi10.1515/CRELLE-2022-0063
dc.identifier.issn0075-4102
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/108385
dc.identifier.weblinkhttps://www.degruyter.com/document/doi/10.1515/crelle-2022-0063/xml
dc.languageeng
dc.pbn.affiliationmathemathics
dc.relation.ispartofJournal für die Reine und Angewandte Mathematik
dc.relation.pages105-142
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.titleHermitian K-theory via oriented Gorenstein algebras
dc.typeJournalArticle
dspace.entity.typePublication