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SUMMARY:The Boolean spectrum of a Grothendieck category [Oberseminar Darst
 ellungstheorie]
DTSTART:20260116T131500Z
DTEND:20260116T141500Z
DTSTAMP:20260308T040900Z
UID:indico-event-1060@math-events.uni-bonn.de
DESCRIPTION:Speakers: Henning Krause (Uni Bielefeld)\n\nA notion of suppor
 t for objects in any Grothendieck category is introduced. This is based on
  the spectral category of a Grothendieck category and uses its Boolean lat
 tice of localising subcategories. The support provides a classification of
  all subcategories that are closed under arbitrary coproducts\, subobjects
 \, and essential extensions. There is also a notion of exact support which
  classifies certain thick subcategories. As an application\, the coproduct
  decompositions of objects are described in terms of Boolean lattices. Als
 o\, for any ring Crawley-Boevey's correspondence between definable subcate
 gories of modules and closed subsets of the Ziegler spectrum is extended.\
 n\nhttps://math-events.uni-bonn.de/event/1060/
LOCATION:Endenicher Allee 60/1.008 - Seminarraum (Mathezentrum)
URL:https://math-events.uni-bonn.de/event/1060/
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