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Seminars

Seminar
FIELD Math:Geometry
DATE December 16 (Thu), 2021
TIME 16:30-17:30
PLACE Online
SPEAKER Lee, Sangwook
HOST Choa, Dongwook
INSTITUTE 숭실대학교
TITLE Twisted Jacobian algebras as endomorphism algebras of matrix factorizations
ABSTRACT Given a polynomial with an isolated singularity, we can consider the Jacobian ring as an invariant of the singularity. If in addition we have a group action on the polynomial ring fixing given polynomial, we are led to consider the twisted Jacobian ring which reflects the equivariant structure as well. Our main result is to show that the twisted Jacobian ring is isomorphic to an endomorphism ring of the ``twisted diagonal" matrix factorization. As an application, we suggest a way to investigate Floer theory of Lagrangian submanifolds which represent homological mirror functors.
FILE 560511639644352011_1.pdf
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