Oded Yacobi (University of Sydney) Friday 3 June, 12-1pm, Place: Carslaw 375 Highest weight theory for truncated shifted Yangians Truncated shifted Yangians are a family of noncommutative algebras associated to a semisimple Lie algebra g, which in type A are known to quantise slices to spherical Schubert varieties in the affine Grassmannian (in general type it still a conjecture). In this talk we’ll motivate the construction of these algebras and then discuss how to control their highest weights using (somewhat mysterious) finite dimensional representations of g.