Constructing representations for braid groups
- π€ Speaker: Arthur Soulie (DPMMS)
- π Date & Time: Friday 11 October 2019, 16:00 - 17:00
- π Venue: MR13
Abstract
Braid groups have a representation theory of wild type, in the sense that there is no known classification schema. Lawrence and Bigelow constructed representations of the braid group on n strands using the configuration space of m points of a n-punctured disc: namely, the braid group acts on the m-th homology group of a particular covering of the configuration space. There is actually an underlying general method to build such homological representations. I will present these methods in this talk.
Series This talk is part of the Junior Geometry Seminar series.
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Arthur Soulie (DPMMS)
Friday 11 October 2019, 16:00-17:00