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On the recostructing problem in mirror symmetry

Veronica Fantini
Thursday, June 17, 2021 - 16:30 to 17:30

In the first part of this talk, I will discuss the reconstructing problem in mirror symmetry, namely how we can construct the mirror partner of a given variety. Although there are many examples in which the costruction is done explicitly, it is usually quite technical and I could not give it in full detail in this seminar. However, I'll try to explain the main ideas behind Kontsevich--Soibelman's construction and the Gross--Siebert's program. In both approaches, a central role is played by scattering diagrams, and in the last part of the talk, I will discuss one of the main results of my thesis which is the definition of the extended tropical vertex group where scattering diagrams can be defined.

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