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From categories to curve-counts in mirror symmetry

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Authors : Perutz, Tim (Author of the conference)
CIRM (Publisher )

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Abstract : I will report on aspects of work with Sheridan and Ganatra in which we show how homo- logical mirror symmetry for Calabi-Yau manifolds implies equality of Yukawa couplings on the A- and B-sides. On the A-side, these couplings are generating functions for genus-zero GW invariants. On the B-side, one has a degenerating family of CY manifolds, and the couplings are fiberwise integrals involving a holomorphic volume form. We show that the Fukaya category implicitly "knows" the correct normalization of this volume form, as well as the mirror map.

MSC Codes :
53D37 - Symplectic aspects of mirror symmetry, homological mirror symmetry, and Fukaya category
14J33 - Mirror symmetry

    Information on the Video

    Film maker : Hennenfent, Guillaume
    Language : English
    Available date : 17/06/15
    Conference Date : 02/06/15
    Subseries : Research talks
    arXiv category : Symplectic Geometry ; Algebraic Geometry
    Mathematical Area(s) : Algebraic & Complex Geometry ; Geometry
    Format : MP4 (.mp4) - HD
    Video Time : 01:07:35
    Targeted Audience : Researchers
    Download : https://videos.cirm-math.fr/2015-06-02_Perutz.mp4

Information on the Event

Event Title : Jean-Morlet Chair: Moduli spaces in symplectic topology and in Gauge theory / Chaire Jean-Morlet : Espaces de modules en topologie symplectique et en théorie de Jauge
Event Organizers : Hofer, Helmut ; Itenberg, Ilia ; Lalonde, François ; McDuff, Dusa ; Ono, Kaoru ; Polterovich, Leonid ; Teleman, Andrei
Dates : 01/06/15 - 05/06/15
Event Year : 2015
Event URL : https://www.chairejeanmorlet.com/1256.html

Citation Data

DOI : 10.24350/CIRM.V.18770403
Cite this video as: Perutz, Tim (2015). From categories to curve-counts in mirror symmetry. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18770403
URI : http://dx.doi.org/10.24350/CIRM.V.18770403

Bibliography



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