Local cohomology and coherent subsets

Time: 14:00 to  15:30 Ngày 09/04/2019

Venue/Location: C2-714, VIASM

Speaker: Prof. Ryo Takahashi (Nagoya University)


Let R be a commutative Noetherian ring. In 2008, Krause introduced the notion of a coherent subset of Spec R to classify the wide subcategories of R-modules closed under direct sums. In this talk, I will give a classification of certain subcategories, and characterize vanishing of local cohomology in terms of coherent subsets. This talk is based on joint work with Lidia Angeleri Huegel, Frederik Marks, Jan Stovicek and Jorge Vitoria.