Title	GKZ Hypergeometric Series for the Hesse Pencil, Chain Integrals and Orbifold Singularities
Creator	Zhou, Jie
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-09-29T11:35
Description	The GKZ system for the Hesse pencil of elliptic curves has more solutions than the period integrals. In this talk I will give different realizations and interpretations of the extra solution, in terms of oscillating integral, Eichler integral, chain integral on the elliptic curve, etc. The orbifold singularity (rather than the cusp-like singularity) on the base of the family is responsible for this extra solution. The extra solution plays an important role in the so-called Calabi-Yau/Landau-Ginzburg correspondence which matches different enumerative theories. The same discussion also applies to slightly more general cases, e.g. Calabi-Yau hypersurfaces in projective spaces.
Extent	55 minutes
Subject	Mathematics; Number theory; Algebraic geometry
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Perimeter Institute Waterloo
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2017-03-31
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0343422
URI	http://hdl.handle.net/2429/61068
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Postdoctoral
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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GKZ Hypergeometric Series for the Hesse Pencil, Chain Integrals and Orbifold Singularities Zhou, Jie

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