Seminar of Algebra

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Matrix factorizations and the Landau-Ginzburg/conformal field

Ana Ros Camacho (Institut de Mathématiques de Jussieu-Paris Rive Gauche (Université Pierre et Marie Curie))
Departamento de Álgebra
Thu, 17 dec 2015 12:30
Ana Ros is Postdoctoral researcher at IMJ-PRG. Her research interests are: matrix factorizations, Landau-Ginzburg models, conformal field theory, homological mirror symmetry.

In this talk we will review the Landau-Ginzburg/conformal field theory correspondence, a result conjectured in the physics literature around late 80's and early 90's which in particular relates categories of representations of vertex operator algebras and categories of matrix factorizations - but which to date lacks a precise mathematical conjecture. We will present some recent progress in this topic, based on joint work with N. Carqueville, A. Davydov, R. Newton and I. Runkel.

(Picture used with the permission of Mathematisches Forschungssinstitut Oberwolfach.)