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Resolutions in Local Algebra and Singularity Theory

dc.date.accessioned2023-03-15T10:37:02Z
dc.date.available2023-03-15T10:37:02Z
dc.date.issued2023
dc.identifier.urihttp://publications.mfo.de/handle/mfo/4021
dc.description.abstractCommutative algebra is a vast subject, with connections to many different areas of mathematics, and beyond. The focus of this workshop was on three areas, all concerned with resolutions in various forms. One is the resolution of singularities of algebraic varieties, which remains a vibrant topic of research. The second is the theory of noncommutative resolution of singularities. Introduced two decades ago, this subject has witnessed remarkable growth developing connections to algebraic geometry, commutative algebra, cluster algebras, and the representation theory of algebras, both commutative and noncommutative, among others. The third intended meaning of the world "resolution" is as in free resolutions of algebras and modules in commutative algebra. There is another sense in which the title is appropriate: recently three long standing open problems in commutative algebra have been resolved. This workshop brought together experts and early career researchers in these various fields, to facilitate exchange of ideas and to explore potential collaborations.
dc.titleResolutions in Local Algebra and Singularity Theory
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.de
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.en
dc.identifier.doi10.14760/OWR-2023-6
local.series.idOWR-2023-6
local.subject.msc13
local.subject.msc14
local.subject.msc16
local.subject.msc18
local.date-range05 Feb - 11 Feb 2023
local.workshopcode2306
local.workshoptitleResolutions in Local Algebra and Singularity Theory
local.organizersAldo Conca, Genova; Steven Dale Cutkosky, Columbia; Eleonore Faber, Leeds; Srikanth B. Iyengar, Salt Lake City
local.report-nameWorkshop Report 2023,6
local.opc-photo-id2306
local.publishers-doi10.4171/OWR/2023/6


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