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Views on the J-homomorphism

Introductory Workshop: Algebraic Topology January 27, 2014 - January 31, 2014

January 29, 2014 (11:30 AM PST - 12:30 PM PST)
Speaker(s): Craig Westerland (University of Minnesota Twin Cities)
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC


This will be a survey talk on subjects related to the J-homomorphism. In addition to the original geometric construction which assigns to a vector bundle its associated spherical fibration, we will touch on more algebraic constructions derived form it, in particular via Picard and unit spectra. We will examine the map from a computational point of view, studying its p-localisation and interpretation in terms of K(1)-local homotopy theory. We will almost certainly fail to do justice to any of these ideas in the time available. At the end, we will briefly extend some of these results to a higher chromatic setting.

20102?type=thumb Westerland notes 3.62 MB application/pdf Download
Video/Audio Files


H.264 Video v1234.mp4 298 MB video/mp4 rtsp://videos.msri.org/data/000/019/754/original/v1234.mp4 Download
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