Matrix factorizations with more than two factors

Abstract: Given an element f in a regular local ring, a matrix factorization of f is a pair of square matrices such that their product is $f$ times an identity matrix of the appropriate size. These objects were originally introduced by Eisenbud to study the hypersurface ring defined by f. We will discuss some of the basic theory of matrix factorizations and then specialize to a generalization where the factorizations have more than two factors.

commutative algebraalgebraic geometrynumber theoryrepresentation theory

Audience: advanced learners

UCGEN - Uluslararası Cebirsel GEometri Neşesi

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