You are cordially invited to the Topology Seminar organized by the Department of Mathematics.
Speaker: Walker Stern (Bilkent University)
“$(infty,2)$-categories and lax colimits”
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 Abellán.
Date: Monday, November 27, 2023
Time: 13:30
Place: SA141 – Mathematics Seminar Room + ZOOM
To request the event link, please send a message to cihan.okay@bilkent.edu.tr