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Mirror symmetry and Fano manifolds. (English) Zbl 1364.14032
Latała, Rafał (ed.) et al., European Congress of Mathematics. Proceedings of the 6th ECM congress, Kraków, Poland, July 2–7 July, 2012. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-120-0/hbk). 285-300 (2013).
From the introduction: We give a sketch of mirror symmetry for Fano manifolds and we outline a program to classify Fano 4-folds using mirror symmetry. As motivation, we describe how one can recover the classification of Fano 3-folds from the study of their mirrors. A glance at the table of contents will give a good idea of the topics covered. We take a stripped-down view of mirror symmetry that originated in the work of V. V. Golyshev [Lond. Math. Soc. Lect. Note Ser. 338, 88–121 (2007; Zbl 1114.14024)] and that can also be found in [V. Przyjalkowski, Commun. Number Theory Phys. 1, No. 4, 713–728 (2008; Zbl 1194.14065)].
For the entire collection see [Zbl 1279.00050].

14J33 Mirror symmetry (algebro-geometric aspects)
14J45 Fano varieties
14D07 Variation of Hodge structures (algebro-geometric aspects)
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