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Title:
LG/CY correspondence between tt*-geometries
Speaker:
Abstract:
tt*-geometry structure was found by physicists in the 1980’s, and defined and developed later in mathematics at the beginning of 90’s. It is an integrable structure mixed with the holomorphic and anti-holomorphic parts, and has close connections with Higgs bundles, Frobenius manifolds and other interesting structures. It is believed that it can be applied to more important occasions. The tt* geometrical structures of Calabi-Yau manifolds have been built long ago in the name of “special geometry”. In this talk, I will explain my construction of tt*-geometry for Landau-Ginzburg model via geometrical analysis method long time ago and formulate very recent results building the explicit LG/CY isomorphism between tt* geometrical structures for projective CY hypersurfaces. The latter work appears in arxiv: 2210.16747.
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