Presented By: Department of Mathematics
Geometry & Physics Seminar
An LG/LG mirror theorem between matrix factorizations and primitive forms.
A few years ago, He-Li-Shen-Webb proved that the Fan-Jarvis-Ruan-Witten theory (LG A-model) of almost all invertible quasihomogeneous polynomials with maximal diagonal symmetries is equivalent to the Saito-Givental theory (LG B-model) of the mirror polynomials. The result is not known for some special chain type polynomials. We can remove the constraints by replacing the A-model with a reduced Cohomological Field Theory of matrix factorizations, constructed by Polishchuk and Vaintrob. This is a joint work in progress, with He, Polishchuk, and Vaintrob. Speaker(s): Yefeng Shen (University of Oregon)
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