# Mathematical Sciences Research Institute

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# Seminar

Geometry: Manifolds with Special Holonomy and Applications March 09, 2016 (11:00 AM PST - 12:00 PM PST)
Parent Program: Differential Geometry MSRI: Simons Auditorium
Speaker(s) Sema Salur (University of Rochester)
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Abstract/Media

Examples of $n$-dimensional Ricci flat manifolds are Riemannian manifolds whose holonomy groups Hol(g) are subgroups of SU(n), for n=2m, and subgroups of the exceptional Lie group $G_2$, for n=7. We call them Calabi-Yau and $G_2$ manifolds, respectively. They are also examples of manifolds with special holonomy. Calibrated submanifolds of Calabi-Yau and $G_2$ manifolds are volume minimizing in their homology classes and their moduli spaces have many important applications in geometry, topology and physics. In this talk we give a report of recent research on the calibrations inside the manifolds with special holonomy.

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