Tuesday Seminar on Topology
Seminar information archive ~05/23|Next seminar|Future seminars 05/24~
Date, time & place | Tuesday 17:00 - 18:30 056Room #056 (Graduate School of Math. Sci. Bldg.) |
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Organizer(s) | HABIRO Kazuo, KAWAZUMI Nariya, KITAYAMA Takahiro, SAKASAI Takuya |
2020/07/21
17:00-18:00 Online
Pre-registration required. See our seminar webpage.
Sergei Burkin (The University of Tokyo)
Twisted arrow categories of operads and Segal conditions (ENGLISH)
https://zoom.us/webinar/register/WN_oS594Z6BRyaKNCvlm3yCoQ
Pre-registration required. See our seminar webpage.
Sergei Burkin (The University of Tokyo)
Twisted arrow categories of operads and Segal conditions (ENGLISH)
[ Abstract ]
We generalize twisted arrow category construction from categories to operads, and show that several important categories, including the simplex category $\Delta$, Segal's category $\Gamma$ and Moerdijk--Weiss category $\Omega$ are twisted arrow categories of operads. Twisted arrow categories of operads are closely connected with Segal conditions, and the corresponding theory can be generalized from multi-object associative algebras (i.e. categories) to multi-object P-algebras for reasonably nice operads P.
[ Reference URL ]We generalize twisted arrow category construction from categories to operads, and show that several important categories, including the simplex category $\Delta$, Segal's category $\Gamma$ and Moerdijk--Weiss category $\Omega$ are twisted arrow categories of operads. Twisted arrow categories of operads are closely connected with Segal conditions, and the corresponding theory can be generalized from multi-object associative algebras (i.e. categories) to multi-object P-algebras for reasonably nice operads P.
https://zoom.us/webinar/register/WN_oS594Z6BRyaKNCvlm3yCoQ