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Homotopy theory of Kac-Moody groups

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

January 30, 2014 (02:00PM PST - 03:00PM PST)
Speaker(s): Nitya Kitchloo (Johns Hopkins University)
Location: MSRI: Simons Auditorium
Video

Abstract

The homotopy theory of compact Lie groups is very well understood by now. The rich structure of these groups (for example: existence and uniqueness of maximal tori, corresponding Weyl groups etc.) may be exploited to classify these groups. This classification even extends to homotopical versions of these groups known as p-compact groups. In the last few decades a beautiful new class of (non-compact) topological groups has been constructed. These are known as Kac-Moody groups and they share most of the structure that compact Lie groups admit. Kac-Moody groups have been shown to be relevant in mathematical physics and further investigation by several mathematicians (including the speaker) seems to suggest that Kac-Moody groups are surprisingly amenable to homotopical techniques. This makes these groups prime candidates for study from the standpoint of homotopy theory

Supplements
20104?type=thumb Kitchloo notes 6.22 MB application/pdf Download
Video/Audio Files

v1237

H.264 Video v1237.mp4 329 MB video/mp4 rtsp://videos.msri.org/data/000/019/777/original/v1237.mp4 Download
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