Geometry and Topology Seminar

This talk will discuss the existence and regularity of critical points of the area functional among Lagrangian surfaces in symplectic 4-manifolds, reviewing classical results by R. Schoen and J. Wolfson, as well as recent progress by A. Pigati and T. Rivière. The speaker will then present a variational construction of Hamiltonian stationary Lagrangian immersions in C^2 with multiple singularities at prescribed points, based on the sharp Wente inequality and an asymptotic analysis near the singularities. This is based on joint work with G. Orriols and T. Rivière.