Speaker: Patrick Bieker (MIT)

Title: Non-normality of Schubert varieties in affine Grassmannians

Abstract: Schubert varieties in finite dimensional flag varieties are normal and satisfy many nice geometric properties regardless of the characteristic of the ground field. Similarly, Faltings, Pappas-Rapoport and Lourenço in full generality proved the normality of Schubert varieties in affine flag varieties whenever the characteristic of the ground field is either zero or big enough. Recently, Haines-Lourenco-Richarz showed that such normality results fail in general in small positive characteristic. In my talk, I will discuss the classification of (non-)normal Schubert varieties in affine Grassmannians. This is based on joint work with Timo Richarz.