Orla McGrath (University of Leeds) – Defining Ideals for Affine Difference Algebraic Groups

While an affine algebraic group is a subgroup of the general linear group that is defined by some polynomial equations, an affine difference algebraic group is a subgroup of the general linear group that is defined by difference polynomial equations. In this talk I will introduce difference algebra and difference algebraic geometry, before explaining how we can use difference algebraic groups to find a class of difference ideals that are finitely difference generated.