Mathematics Colloquia and Seminars

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The derived category of a hypersurface is equivalent to the
category of matrix factorizations of a certain function on the total space
of a line bundle over the ambient space. The hypersurface is smooth if
and only if the critical set of the function is compact. I will present a
construction through which a resolution of singularities of the
hypersurface corresponds to a compactification of the critical locus of
the function, which can be very interesting in examples. Kuznetsov and
Lunts's categorical crepant resolution will make an appearance. (This is
joint work with Paul Aspinwall and Ed Segal.)