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Mini-Workshop: Non-semisimple Tensor Categories and Their Semisimplification (online meeting)

dc.date.accessioned2021-03-17T09:41:07Z
dc.date.available2021-03-17T09:41:07Z
dc.date.issued2021
dc.identifier.urihttp://publications.mfo.de/handle/mfo/3848
dc.description.abstractFinite tensor categories are, despite their many applications and great interest, notoriously hard to classify. Among them, the semisimple ones (called fusion categories) have been intensively studied. Those with non-integral dimensions form a remarkable class. Already more than 20 years ago, tilting modules have been proposed as a source of such fusion categories. In this way, the Verlinde categories associated to the pair of a simple complex Lie algebra $\mathfrak g$ and an integer level $k$ have been recovered in a purely algebraic framework - called semisimplification of tensor categories. Recently efforts to understand how to go beyond these examples emerged. This mini-workshop aims at bringing together experts from various branches of representation theory and topological field theory to deepen our understanding of finite tensor categories and to compare new ways to understand semisimplification.
dc.titleMini-Workshop: Non-semisimple Tensor Categories and Their Semisimplification (online meeting)
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-2021-7
local.series.idOWR-2021-7
local.subject.msc16
local.subject.msc20
local.subject.msc81
local.date-range07 Feb - 13 Feb 2021
local.workshopcode2106a
local.workshoptitleMini-Workshop: Non-semisimple Tensor Categories and Their Semisimplification (online meeting)
local.organizersNicolás Andruskiewitsch, Cordoba; Pavel Etingof, Cambridge MA; Christoph Schweigert, Hamburg
local.report-nameWorkshop Report 2021,7
local.opc-photo-id2106a
local.publishers-doi10.4171/OWR/2021/7
local.ems-referenceAndruskiewitsch Nicolás, Etingof Pavel, Schweigert Christoph: Non-semisimple Tensor Categories and Their Semisimplification. Oberwolfach Rep. 18 (2021), 361-381. doi: 10.4171/OWR/2021/7


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