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Character Theory and Categorification

dc.date.accessioned2022-10-06T08:23:45Z
dc.date.available2022-10-06T08:23:45Z
dc.date.issued2022
dc.identifier.urihttp://publications.mfo.de/handle/mfo/3980
dc.description.abstractOver a hundred years after the work of Frobenius and Schur, the sheer enormity of what is not known about the character theory of symmetric and alternating groups continues to surprise and awe the uninitiated. How does one decompose the tensor product of a pair of complex characters? Or the restriction of a complex character to a Sylow or wreath product subgroup? Can we understand the vanishing sets of complex characters? What about the asymptotic behaviour of complex characters? What are the dimensions of the modular characters? These questions have been hailed as some of the definitive open problems in representation theory and algebraic combinatorics, they have deep connections with Lie theory, group theory, local-global conjectures in representation theory of finite groups, symplectic geometry, complexity theory, statistical mechanics and quantum information theory. The overarching theme of this proposal is the use of hidden, richer representation theoretic structures arising in modular, local-global, and categorical representation theory in order to prove and disprove conjectures concerning characters of symmetric and alternating groups.
dc.titleCharacter Theory and Categorification
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-2022-39
local.series.idOWR-2022-39
local.subject.msc05
local.subject.msc20
local.date-range28 Aug - 03 Sep 2022
local.workshopcode2235
local.workshoptitleCharacter Theory and Categorification
local.organizersChristine Bessenrodt, Hannover; Christopher Bowman, York; Eugenio Giannelli, Florence; Alexander Kleshchev, Eugene
local.report-nameWorkshop Report 2022,39
local.opc-photo-id2235
local.publishers-doi10.4171/OWR/2022/39


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