Speaker
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Jacopo Stoppa (Sissa)
From algebro-geometric stability to special Lagrangian spheres on K3 surfaces
Abstract: Special Lagrangian submanifolds were introduced by Harvey
and Lawson in 1982. They came to play an important role in high energy
physics, but they are quite hard to construct. Conjectures of
Thomas-Yau, Joyce and others predict that in fact their existence
should be determined by a suitable algebro-geometric stability
condition. I will recall all this and present some recent work which
constructs examples of Lagrangian spheres on certain K3 surfaces for
which the implication “algebro-geometric stability to sLag” holds.