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SUMMARY:Walker Stern
DTSTART:20231127T103000Z
DTEND:20231127T113000Z
DTSTAMP:20260422T175806Z
UID:BilTop/70
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BilTop/70/">
 $(\\infty\,2)$-categories and lax colimits</a>\nby Walker Stern as part of
  Bilkent Topology Seminar\n\nLecture held in SB-Z11.\n\nAbstract\nMany hig
 her-categorical structures\, most notably $(\\infty\,1)$-categories themse
 lves\, form $(\\infty\,2)$-categories. It is thus highly desirable to char
 acterize such structures in terms of $(\\infty\,2)$-categorical universal 
 properties. One recent framework allowing us to understand such $(\\infty\
 ,2)$-categorical universal properties is the theory of (co)limits in $(\\i
 nfty\,2)$-categories. In this talk\, I will explain the developing theory 
 of (partially) lax colimits in $(\\infty\,2)$-categories\, and discuss how
  it recovers a number of previous notions in the literature. I will then e
 xplain how one can generalize from the $(\\infty\,1)$-categorical setting 
 to obtain a cofinality criterion for $(\\infty\,2)$-functors. This work wa
 s joint with Fernando Abellán.\n
LOCATION:https://researchseminars.org/talk/BilTop/70/
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