This week's seminars
Geometry and Topology Seminar: A unified functorial construction of homological representations of families of groups
16 January 2020 13:00 in CM301
Many families of groups, such as braid groups, have a representation theory of wild type, in the sense that there is no known classification schema. Hence it is useful to shape constructions of linear representations for such families of groups to understand their representation theory. I will present a unified functorial construction of homological representations for these families of groups, which is a joint work in progress with Martin Palmer. For instance, this construction provides the family of Lawrence-Bigelow representations for braid groups. Under some additional assumptions, general notions of polynomiality on functors are a useful tool to classify these representations.
Contact Mark Powell for more information