The Affine Grassmannian as a Presheaf Quotient

Tuesday, April 16, 2024 - 12:00

703 Thackeray Hall

Speaker Information
Kestutis Cesnavicius

Abstract or Additional Information

The affine Grassmannian of a reductive group G is usually defined as the étale sheafification of the quotient of the loop group LG by the positive loop subgroup. I will discuss various triviality results for G-torsors which imply that this sheafification is often not necessary.