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Models for homotopical higher categories

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

January 28, 2014 (03:30 PM PST - 04:30 PM PST)
Speaker(s): Julie Bergner (University of Virginia)
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC



Models for homotopical categories, known as $(\infty,1)$-categories, are now fairly well-developed. Comparisons are in place between them, and there is a wide variety of applications ranging from topology to algebra to algebraic geometry. Generalizing them to models for homotopical higher categories, or $(\infty,n)$-categories, requires substantially greater technicality. Much work has been done in this direction, due to recent work of many authors, but the full picture is still very much work in progress. In this talk we will review different models for $(\infty,1)$-categories and discuss the number of ways they are being generalized to models for $(\infty,n)$-categories, as well as the known and conjectured comparisons between them

20099?type=thumb Bergner notes 5.81 MB application/pdf Download
Video/Audio Files


H.264 Video v1231.mp4 302 MB video/mp4 rtsp://videos.msri.org/data/000/019/739/original/v1231.mp4 Download
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