Pure Maths Colloquium: Exact Lagrangian immersions with one double point
12 November 2012 16:00 in CM221
In the mid 1980s Gromov proved that Euclidean space, with its standard symplectic structure, contains no embedded exact Lagrangian submanifolds. By contrast, exact Lagrangian immersions are very flexible, indeed governed by an h-principle. We consider exact immersions with one double point and no other singularities, where the boundary between rigidity and flexibility is already visible and surprising. Constraints on such immersions are obtained by studying high-dimensional moduli spaces of solutions to perturbed Cauchy-Riemann equations. This is joint work with Tobias Ekholm (Uppsala University).
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