© 2018
Superschool on Derived Categories and D-branes
Edmonton, Canada, July 17-23, 2016
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Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 240)
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© 2018
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 240)
These proceedings provide a pleasant and broad introduction into modern research topics surrounding string theory and mirror symmetry that is approachable to readers new to the subjects. These topics include constructions of various mirror pairs, approaches to mirror symmetry, connections to homological algebra, and physical motivations. Of particular interest is the connection between GLSMs, D-branes, birational geometry, and derived categories, which is explained both from a physical and mathematical perspective. The introductory lectures provided herein highlight many features of this emerging field and give concrete connections between the physics and the math.
Mathematical readers will come away with a broader perspective on this field and a bit of physical intuition, while physicists will gain an introductory overview of the developing mathematical realization of physical predictions.