Purity for flat cohomology
Kestutis Cesnavicius - CNRS/Paris-Sud
The absolute cohomological purity for étale cohomology of Gabber--Thomasson implies that an étale cohomology class on a regular scheme extends uniquely over a closed subscheme of large codimension. I will discuss the corresponding phenomenon for flat cohomology. The talk is based on joint work with Peter Scholze.