Thursday, 08 October 2026, 15:00 at Centre for Mathematical Sciences, MR14 – Layer potentials provide a classical approach to boundary value problems for Laplace’s equation on Lipschitz domains. Kenig’s 1994 spectral-radius conjecture would guarantee operator-norm convergence of the Neumann series for inverting the shifted adjoint double-layer operators $D_Gamma^{*} pmfrac{1}{2}I$ on mean-zero $L^2$ densities, when the boundary $Gamma$ is connected. In this talk, …