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Neeman's Characterization of K(R-Proj) Via Bousfield Localization

Department of Mathematics, Wilfrid Laurier University

Speaker

Professor Xianhui Fu, Northeast Normal University, China

Title

Neeman's Characterization of K(R-Proj) Via Bousfield Localization

Abstract

 Let R be an associative ring with unit and denote by K(R-Proj) the homotopy category of complexes of projective left R-modules. Neeman proved the theorem that K(R-Proj) is ℵ1-compactly generated, with the category K+(R-proj) of left bounded complexes of finitely generated projective R-modules providing an essentially small class of such generators. Another proof of Neeman’s theorem is explained, using recent ideas of Christensen and Holm, and Emmanouil. The strategy of the proof is to show that every complex in K(R-Proj) vanishes in the Bousfield localization K(R-Flat)/K+(R-proj). This is joint work with Ivo Herzog.

Date

Friday, Dec. 21, 2018

Time

11 a.m. - 11:50 a.m.

Location

LH3058 (Lazaridis Hall, Room 3058)