Seminars

Singularities of special Lagrangian submanifolds

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Dominic Joyce

2007-07-09
14:00:00 - 15:00:00

103 , Old Mathematics Building



We first introduce Calabi-Yau manifolds and their special Lagrangian submanifolds (SL m-folds). Many problems in special Lagrangian geometry require an understanding of the singularities of SL m-folds, and how they form as limits of nonsingular SL m-folds. One class of singular SL m-folds with particularly good behaviour is SL m-folds with \"isolated conical singularities\". We outline a theory of these SL m-folds, including their deformation theory, how they can be desingularized, and obstructions to their desingularization.