Kęstutis Česnavičius - Purity for Flat Cohomology
Channel: Institut des Hautes Études Scientifiques (IHÉS)
Date: 2019-07-06

The absolute cohomological purity conjecture of Grothendieck proved by Gabber ensures that on regular schemes étale cohomology classes of fixed cohomological degree extend uniquely over closed subschemes of large codimension. I will discuss the corresponding phenomenon for flat cohomology. The talk is based on joint work with Peter Scholze.