Geometry/topology Seminar

A New Presentation of the Steinberg Module of $B_n$

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Speaker(s): Emille Davie Lawrence
Harer proved that the braid group $B_n$ is a duality group with a dualizing module called the Steinberg module $St(B_n)$. As such it is an important cohomological object associated with the braid group. We will discuss recent joint work that builds upon the work of Harer et al. to decrease the number of generators and relations in the Harer presentation of $St(B_n)$. This work was generously supported by the 2021 ADJOINT program at Simons Laufer Mathematical Sciences Institute. Emille Davie Lawrence is visiting Duke as a Robert Calderbank and Ingrid Daubechies Scholar.

Physics 119