Thom-Sebastiani & duality for matrix factorizations (via derived
algebraic geometry) -- Anatoly Preygel, December 2, 2011

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The 2-periodic dg-category MF of matrix factorizations is a
categorical singularity invariant, appearing on the
algebro-geometric side of mirror symmetry.  After recalling
some categorical background, we'll explain the results in the
title and how they're useful for establishing basic properties
of MF and for relating its Hochschild invariants to classical
linear-algebraic invariants of singularities.  Finally, we'll
give a description of MF in terms of "derived algebraic
geometry," and see how this allows one to give conceptual
proofs of the results in the title.