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SUMMARY:2-Segal spaces in homotopy theory\, algebra\, and algebraic K-theo
 ry - Julie  Bergner (University of Virginia)
DTSTART:20240611T101500Z
DTEND:20240611T111500Z
UID:TALK217315@talks.cam.ac.uk
DESCRIPTION:The notion of Segal space has been useful for modeling up-to-h
 omotopy topological categories\, and can be described via the so-called Se
 gal maps.&nbsp\; Two different approaches have led to the same generalizat
 ion\, known as 2-Segal spaces: while Dyckerhoff and Kapranov sought to gen
 eralize the Segal maps from a geometric point of view\, Galvez-Carrillo\, 
 Kock and Tonks were motivated by making homotopy-theoretic versions of con
 structions in combinatorics.&nbsp\; &nbsp\;A key example of a 2-Segal spac
 e is the output of Waldhausen's S-construction when applied to an exact ca
 tegory\, and 2-Segal spaces satisfying certain finiteness assumptions prov
 ide a unifying treatment to Hall algebra constructions.&nbsp\; In this min
 icourse\, we will give definitions and basic examples\, then introduce the
 se connections with algebraic K-theory and algebra.
LOCATION:External
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