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Homotopy theory of Kac-Moody groups

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

January 30, 2014 (02:00 PM PST - 03:00 PM PST)
Speaker(s): Nitya Kitchloo (Johns Hopkins University)
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC



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

20104?type=thumb Kitchloo notes 6.22 MB application/pdf Download
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