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Seminar

HC & QS - Factorization homology with defects, and Poincare'/Koszul duality March 05, 2020 (11:00 AM PST - 12:30 PM PST)
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Location: MSRI: Simons Auditorium
Speaker(s) David Ayala (Montana State University), John Francis (Northwestern University)
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We'll discuss defects, of which a link in a 3-manifolds is an example, and stratificaitons more generally.  We will discuss factorization homology over defects, and characterize such in terms of E_n-algebras and module data therefor.  Augmentations lend to examples of such module data.  The collection of deformations of an augmentation of an E_n-algebra A organize as a formal E_n-stack, the Maurer-Cartan formal moduli problem MC_A.  Poincare'/Koszul duality relates the sigma-model with target MC_A and factorization homology of A.

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