IPAB seminar - 05/07/2017 Title: Local cohomology and stratification Abstract: Every finite regular CW complex is, ipso facto, a stratified space when filtered by skeleta. In this talk, I will outline a method to discover the canonical (i.e., coarsest possible) stratification into manifolds of such a complex that is compatible with its underlying cell structure. The construction proceeds by first localizing and then resolving a sequence of cosheaves which capture local cohomology at every cell. The result is a sequence of categories whose limit recovers the desired strata via its (isomorphism classes of) objects. As a bonus, the entire process is algorithmic and amenable to efficient computation. Jul 05 2017 14.00 - 15.00 IPAB seminar - 05/07/2017 Vidit Nanda, Turing Research Fellow, University of Oxford, http://people.maths.ox.ac.uk/nanda/ 4.31/33
IPAB seminar - 05/07/2017 Title: Local cohomology and stratification Abstract: Every finite regular CW complex is, ipso facto, a stratified space when filtered by skeleta. In this talk, I will outline a method to discover the canonical (i.e., coarsest possible) stratification into manifolds of such a complex that is compatible with its underlying cell structure. The construction proceeds by first localizing and then resolving a sequence of cosheaves which capture local cohomology at every cell. The result is a sequence of categories whose limit recovers the desired strata via its (isomorphism classes of) objects. As a bonus, the entire process is algorithmic and amenable to efficient computation. Jul 05 2017 14.00 - 15.00 IPAB seminar - 05/07/2017 Vidit Nanda, Turing Research Fellow, University of Oxford, http://people.maths.ox.ac.uk/nanda/ 4.31/33
Jul 05 2017 14.00 - 15.00 IPAB seminar - 05/07/2017 Vidit Nanda, Turing Research Fellow, University of Oxford, http://people.maths.ox.ac.uk/nanda/
