- Title: Variations of the metric induced by the reproducing kernel for semi-exact analytic differentials
- Speaker: Prof.Sachiko Hamano (Fukushima Univ, Japan)
We study the variations of the metric induced by the reproducing kernel for semi-exact $L^2$-analytic differentials on a bordered Riemann surface of genus $g (ge 0)$. We show the log-plurisubharmonicity of metric deformations
under pseudoconvexity. The proof is based on the variational formula of the $L_1$-constant with two logarithmic poles.
- Place: GAIA Seminar Room (#106, Math Science bldg.)