Universal response of quantum hall states to lattice curvature

In this talk I shall present general results for the response of quantum Hall states to points of singular real-space curvature. The salient results are that (i) points of singular curvature bind an excess fractional charge and (ii) bound states appear in the inter-Landau level energy gap whose energies are universal functions of bulk parameters and the curvature. Time permitting, I will comment on the implications of these results.