You are cordially invited to the Graduate Mathematics Seminar Series organized by the Department of Mathematics.<\/p>\n
Speaker: Mehmet K\u0131rt\u0131\u015fo\u011flu (Bilkent University)<\/p>\n
\u201cThomason Cohomology and Quillen\u2019s Theorem A\u201d<\/p>\n
Abstract: We Given a functor \u03c6 : C->D between small categories, Quillen showed that there is a homotopy equivalence \u03ba : hocolim_D N(\u03c6\/-)-> NC, where N(\u03c6\/-) is the functor that sends each object d of D to the nerve of the comma category \u03c6\/d. We show that the homotopy equivalence \u03ba induces an isomorphism on the Gabriel-Zisman cohomology of the associated simplicial sets. As a consequence, we obtain a version of Quillen\u2019s Theorem A for the Thomason cohomology of categories. We also construct a spectral sequence converging to the Thomason cohomology of the Grothendieck construction of a functor F : D -> Cat with arbitrary coefficients.<\/p>\n
This a joint work with my advisor Prof. Dr. ERG\u00dcN YAL\u00c7IN.<\/p>\n
Advisor: Prof. Dr. ERG\u00dcN YAL\u00c7IN.<\/p>\n
Date: 07.05.2026
\nTime: 13:30
\nPlace: SA- 141<\/p>\n","protected":false},"excerpt":{"rendered":"
You are cordially invited to the Graduate Mathematics Seminar Series organized by the Department of Mathematics. Speaker: Mehmet K\u0131rt\u0131\u015fo\u011flu (Bilkent University) \u201cThomason Cohomology and Quillen\u2019s Theorem A\u201d Abstract: We Given a functor \u03c6 : C->D between small categories, Quillen showed that there is a homotopy equivalence \u03ba : hocolim_D N(\u03c6\/-)-> [\u2026] <\/p>\n