Calibrated Geometries
Sema Salur, Northwestern (visiting Princeton)
Calibrated submanifolds are distinguished classes of
minimal submanifolds and their moduli spaces are expected to play an
important role in geometry, low dimensional topology and theoretical
physics.
Examples of these submanifolds are special Lagrangian 3-folds for
Calabi-Yau, associative 3-folds and coassociative 4-folds for G_2, and
Cayley 4-folds for Spin(7) manifolds.
In this talk we give an introduction to calibrated geometries and a
survey of recent research about the deformation theory of calibrated
submanifolds inside Ricci-flat manifolds.
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