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Heterotic mirror symmetry Sharpe, Eric

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In this talk we will describe progress towards a generalization of mirror symmetry pertinent for heterotic strings. Whereas ordinary mirror symmetry relates, in its simplest incarnations, pairs of Calabi-Yau manifolds, the heterotic generalization relates pairs of holomorphic vector bundles over (typically distinct) Calabi-Yau's, satisfying certain consistency conditions. We will also outline the corresponding analogue of quantum cohomology, known as quantum sheaf cohomology, describing results for deformations of tangent bundles of toric varieties and Grassmannians, and we will discuss (0,2) Landau-Ginzburg Toda-like mirrors to deformations of tangent bundles of products of projective spaces.

Item Metadata

Title	Heterotic mirror symmetry
Creator	Sharpe, Eric
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-03-09T10:24
Description	In this talk we will describe progress towards a generalization of mirror symmetry pertinent for heterotic strings. Whereas ordinary mirror symmetry relates, in its simplest incarnations, pairs of Calabi-Yau manifolds, the heterotic generalization relates pairs of holomorphic vector bundles over (typically distinct) Calabi-Yau's, satisfying certain consistency conditions. We will also outline the corresponding analogue of quantum cohomology, known as quantum sheaf cohomology, describing results for deformations of tangent bundles of toric varieties and Grassmannians, and we will discuss (0,2) Landau-Ginzburg Toda-like mirrors to deformations of tangent bundles of products of projective spaces.
Extent	50 minutes
Subject	Mathematics; Algebraic geometry; Differential geometry
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Virginia Tech
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2016-09-08
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0314179
URI	http://hdl.handle.net/2429/59125
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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201603091024-Sharpe_lrv.mp4 -- 123.74MB

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Attribution-NonCommercial-NoDerivatives 4.0 International