Plücker Varieties and Higher Secants of Sato's Grassmannian

We prove that for each natural number k, the k-th secant variety of any Grassmannian is defined in bounded degree independent of the Grassmannian. These secant varieties are special cases of certain families of varieties, called Plücker varieties. The main result will be shown by considering limits of Plücker varieties and equivariant Noetherianity. The talk is based on the paper of Jan Draisma and Rob Eggermont with the same title.