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Deformation Theory Seminar

Wednesday, April 18, 2018 - 2:00pm

Vidit Nanda

Maths Inst Oxon

Location

University of Pennsylvania

DRL 4C2

I will outline an algorithm to discover the canonical (or, coarsest possible) stratification of a given regular CW complex into cohomology manifolds, each of which is a union of cells. The construction proceeds by iteratively localizing the poset of cells about a family of subposets; these subposets are in turn determined by a collection of cosheaves which capture variations in local cohomology across cells in the underlying complex. The result is a finite sequence of categories whose colimit recovers the canonical strata via isomorphism classes of its objects. The entire process is amenable to efficient distributed computation.