Titlebook: Lectures and Surveys on G2-Manifolds and Related Topics; Spiro Karigiannis,Naichung Conan Leung,Jason D. Lo Book 2020 Springer Science+Bus

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Calibrated SubmanifoldsWe provide an introduction to the theory of calibrated submanifolds through the key examples related with special holonomy. We focus on calibrated geometry in Calabi–Yau, . and . manifolds, and describe fundamental results and techniques in the field.

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Calibrated Submanifolds in , GeometryThis article summarizes the lecture given by the second author at the . “. manifolds and related topics” which was held at the Fields Institute in August 2017, and is based on notes made by the first author.

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On G,-Structures, Special Metrics and Related FlowsWe review results about .-structures in relation to the existence of special metrics, such as Einstein metrics and Ricci solitons, and the evolution under the Laplacian flow on non-compact homogeneous spaces. We also discuss some examples in detail.

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Laplacian Flow for Closed , StructuresThis is an expository article based on the author’s talk in . . held in August 2017 at The Fields Institute. The aim is to explain the results obtained recently by the author and Jason D. Lotay on the Laplacian flow for closed . structures and some related progress.

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Complex and Calibrated GeometryThis is an expository article based on a talk given by the author at the Fields Institute in August 2017 for the . . .. The aim of the article is to review some recent results of the author [.] investigating the relationship between calibrated and complex geometry.

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