Colourings of Balanced Incomplete Block Designs That Are Almost Locally Equitable Date and Time: Wednesday, January 14, 3.40 pm Atlantic time Speaker: William Kellough, Memorial University of Newfoundland Abstract: In this talk, we study $\ell$-colourings of $(v,k,\lambda)$-BIBDs where within each block, one colour is absent and the rest appear exactly $\frac{k}{\ell-1}$ times. We give necessary conditions for such colourings to exist. We show how Hadamard matrices, affine planes, and twin prime powers can be used to construct such coloured BIBDs.…