The conference will take place the dates of May 29 - June 2, 2017 at the University of Michigan in Ann Arbor, Michigan.
From its inception in the early 1990s, mirror symmetry has been a driving force in geometry and physics. At its most basic level, mirror symmetry postulates an equivalence between the enumerative geometry of curves in algebraic varieties (the “A-model”) and the variation of complex structures on associated mirror varieties (the “B-model”). The basic objects of the A-model are Gromov-Witten invariants, which are virtual intersection numbers on the moduli spaces of stable maps, and mirror symmetry has led to conjectural descriptions of Gromov-Witten invariants in terms of more classical and computable objects in the B-model. More generally, homological mirror symmetry describes the relationship between the A-model and B-model in terms of an equivalence of categories. During the last 25 years, mirror symmetry has matured greatly, and it has now come to encompass a number of important problems in algebraic geometry, symplectic geometry, and number theory.
One of the truly compelling aspects of mirror symmetry is its ability to draw connections between seemingly unrelated areas of mathematics. For instance, the developments of the last few decades have inspired parallel developments in integrable systems, matrix models and topological recursions, Hitchin systems, derived and Fukaya categories, and singularity theory. The invited speakers for the workshop have been chosen to represent a broad slice of experts in these areas, with the intention of enhancing the conversations between the different groups. Opening these lines of conversation will further develop our understanding of the major open questions in the field.
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