# Low-regularity local wellposedness of Chern-Simons-Schroedinger

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Paul Smith , UC Berkeley
Fine Hall 314

The Chern-Simons-Schroedinger model in two spatial dimensions is a covariant NLS-type problem that is $L^2$ critical. We prove that, with respect to the heat gauge, this problem is locally well-posed for initial data that is small in $H^s$, $s > 0$. This work is joint with Baoping Liu and Daniel Tataru.