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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:The Waldhausen S-construction as an equivalence of
homotopy theories - Julie Bergner (University o
f Virginia)
DTSTART;TZID=Europe/London:20180717T140000
DTEND;TZID=Europe/London:20180717T150000
UID:TALK108325AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/108325
DESCRIPTION:The notion of unital 2-Segal space was defined ind
ependently by Dyckerhoff-Kapranov and Galvez-Carri
llo-Kock-Tonks as a generalization of a category u
p to homotopy. The notion of unital 2-Segal space
was defined independently by Dyckerhoff-Kapranov a
nd Galvez-Carrillo-Kock-Tonks as a generalization
of a category up to homotopy. A key example of bot
h sets of authors is that the output of applying W
aldhausen'\;s S-construction to an exact catego
ry is a unital 2-Segal space. In joint work with O
sorno\, Ozornova\, Rovelli\, and Scheimbauer\, we
expand the input of this construction to augmented
stable double Segal spaces and prove that it indu
ces an equivalence on the level of homotopy theori
es. Furthermore\, we prove that exact categories a
nd their homotopical counterparts can be recovered
as special cases of augmented stable double Segal
spaces.

LOCATION:Seminar Room 2\, Newton Institute
CONTACT:INI IT
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