U. Haifa Topology & Geometry seminar: Sunday, May 1, 2022. Speaker: Dimitri Ara (Marseilles). Title: “Comparison of three nerve functors for strict n-categories”.

Time: 17:00 (Israel Time)

Location: On Zoom


The nerve functor from categories to simplicial sets allows to associate to
any small category a homotopy type giving rise to a homotopy theory of smallcategories studied by Quillen, Thomason and Grothendieck. To generalize this picture to higher categories, one needs an analogous nerve functor. But there exists plenty of possibilities! The purpose of this talk will be toexplain generalities about comparison of nerve functors and to show that the for strict n-categories the multi-simplicial nerve, the cellular nerve andStreet’s nerve are all equivalent.



Meeting ID: 849 8759 1026

Future speakers:

Sourav Das (Haifa) – May 8th

Viktoriya Ozornova (Bonn) – May 15th

Andrew Salch (Wayne State) – May 22nd

Markus Upmeier (Aberdeen) – May 29th

Denis-Charles Cisinski (Regensburg) – June 5th.