Speaker: Toshihiro Uemura

Title: A note on the convergence of perturbed Dirichlet forms with degenerate (singular) potentials

Abstract: We consider the strong $L^2$-convergence of Feynman-Kac semigroups of symmetric diffusion processes with degenerate (singular) potentials. In this talk, I will also present the pointwise convergence of resolvents of the processes perturbed by Feymann-Kac transforms via positive continuous additive functionals in the one-dimensional case. This is a joint work with Zhen-Qing Chen and Matsuyo Tomisaki.