Fri, February 12, 2021
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6:00pm [6:30pm] Graham Leuschke, Syracuse University, New York, USA.
Description:
Speaker: Graham Leuschke, Syracuse University, New York, USA. Date/Time: 12 February 2021, 6:30pm IST/ 1:00pm GMT/ 8:00am EST (joining time: 6:15 pm IST - 6:30 pm IST). Google meet link: https://meet.google.com/mkx-gcmp-axf. Title: Matrix Factorizations and Knörrer Periodicity. Abstract: A matrix factorization of a ring element $f$ is a pair of square matrices so that the product (in either order) is diagonal with $f$ in each diagonal entry. These were introduced by Eisenbud in 1980. When the ring is regular, matrix factorizations of $f$ correspond to maximal Cohen-Macaulay modules over the hypersurface defined by $f$. This talk will give an overview of the theory of matrix factorizations, ending with some recent generalizations to factorizations by more than two matrices. For more information and links to previous seminars, visit the website of VCAS: https://sites.google.com/view/virtual-comm-algebra-seminar.