I will discuss work on a conjectural moduli description of Schubert varieties in the affine Grassmannian and proof of a conjecture of Kreiman, Lakshmibai, Magyar, and Weyman on equations defining type A affine Grassmannians. As an application of our ideas, we prove a conjecture of Pappas and Rapoport about nilpotent orbit closures. This involves work with Joel Kamnitzer, Alex Weekes, and Oded Yacobi.

This will be a zoom seminar. The zoom URL is

https://kyoto-u-edu.zoom.us/j/87606635344

and the passcode is the order of the Weyl group of type $E_6$.