Title	LG/CY correspondence for one-folds via modularity
Creator	Shen, Yefeng
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-11-20T09:39
Description	Gromov-Witten invariants of Calabi-Yau one-folds (including elliptic curves and elliptic orbifold curves) are quasimodular forms. This can be proved using tautological relations and some ordinary differential equations in the theory of quasimodular forms, with minimal calculations. Such a method is also applicable to the Fan-Jarvis-Ruan-Witten theory of simple elliptic singularities. This allow us to prove the LG/CY correspondence for all CY one-folds using Cayley transformation of quasimodular forms, where GW/FJRW invariants are coefficients of Fourier/Taylor expansions of the same quasimodular forms. This talk is based on joint work with Jie Zhou, and Jun Li, Jie Zhou.
Extent	59.0 minutes
Subject	Mathematics; Algebraic geometry
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Oregon
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2021-01-19
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0395655
URI	http://hdl.handle.net/2429/77144
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Researcher
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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