You are cordially invited to the Topology Seminar organized by the Department of Mathematics.<\/p>\n
Speaker: Walker Stern (Bilkent University)
\n\u201c$(infty,2)$-categories and lax colimits\u201d<\/p>\n
Abstract: Many higher-categorical structures, most notably $(infty,1)$-categories themselves, form $(infty,2)$-categories. It is thus highly desirable to characterize 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 $(infty,2)$-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 explain how one can generalize from the $(infty,1)$-categorical setting to obtain a cofinality criterion for $(infty,2)$-functors. This work was joint with Fernando Abell\u00e1n.<\/p>\n
Date: Monday, November 27, 2023
\nTime: 13:30
\nPlace: SA141 \u2013 Mathematics Seminar Room + ZOOM<\/p>\n
To request the event link, please send a message to cihan.okay@bilkent.edu.tr<\/p>\n","protected":false},"excerpt":{"rendered":"
You are cordially invited to the Topology Seminar organized by the Department of Mathematics. Speaker: Walker Stern (Bilkent University) \u201c$(infty,2)$-categories and lax colimits\u201d Abstract: Many higher-categorical structures, most notably $(infty,1)$-categories themselves, form $(infty,2)$-categories. It is thus highly desirable to characterize such structures in terms of $(infty,2)$-categorical universal properties. One recent [\u2026] <\/p>\n