Loose simplicial objects.

Abstract: There are two stories that are historically reasonably unrelated, but that both lead to the same definition of a "loose simplicial object", namely (i) the proof that totalisation of a Reedy fibrant cosimplicial simplicial set computes the homotopy limit (via the Bousfield–Kan map), and (ii) the construction of global simplicial resolutions of coherent analytic sheaves (via Toledo–Tong twisting cochains). In this talk, we will look at both of these stories and see what common definition they suggest, and then examine how this definition might be useful.

This talk is on (incomplete) work in progress, joint with Cheyne Glass.

Computer scienceMathematics

Audience: researchers in the topic

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New York City Category Theory Seminar

Series comments: The New York City Category Theory Seminar Department of Computer Science Department of Mathematics The Graduate Center of The City University of New York

Some talks will be in-person (with a Zoom connection) and some talks will only be on Zoom. Time: Wednesdays 02:00-3:00 PM Eastern Time (US and Canada) NOTICE NEW TIME!!!

IN-PERSON INFORMATION: 365 Fifth Avenue (at 34th Street) map (Diagonally across from the Empire State Building) New York, NY 10016-4309 Room 4214.03 NOTICE NEW ROOM!!! THere will be a Zoom link to join us on in-person talks. This means that from now on, in-person talks will be hybrid.

ZOOM INFORMATION: brooklyn-cuny-edu.zoom.us/j/84134080992?pwd=MNvAvOfYemk2bh7qCtI9I5zQTRkFdR.1 Meeting ID: 841 3408 0992 Passcode: NYCCTS

Seminar web page. Videoed talks. Previous semesters. List of previous speakers. Researchseminars.org page.

Co-organizers: Emilio Minichiello and Noson S. Yanofsky.

Contact E. Minichiello or N. Yanofsky to schedule a speaker or to add a name to the seminar mailing list.

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