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SUMMARY:t-structures and Barr exactness [MPIM]
DTSTART:20250127T100000Z
DTEND:20250127T110000Z
DTSTAMP:20260809T200300Z
UID:indico-event-224@math-events.uni-bonn.de
DESCRIPTION:Speakers: Gérman Stefanich\n\nAbstract homotopy theory semina
 r \nA classical theorem of Tierney characterizes abelian categories as th
 ose additive categories which satisfy a further purely nonadditive propert
 y known as Barr exactness. In this talk I will explain a version of this r
 esult in the setting of higher category theory: an infinity category is Ba
 rr exact and additive if and only if it arises as the connective half of a
  t-structure on some stable infinity category. From this perspective\, we 
 will reinterpret the procedure of deriving an abelian category A as an ins
 tance of the classical procedure of exact completion\; concretely\, this i
 dentifies the connective derived infinity category of A as a natural full 
 subcategory of the infinity topos of sheaves for a certain Grothendieck to
 pology on A.\n\nhttps://math-events.uni-bonn.de/event/224/
LOCATION:MPIM\, Vivatsgasse\,  7 - Seminar Room (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/224/
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