（2:45~3:15pm, Tea, Coffee, and Cookie）

Novel properties arise from the interplay of electron correlations and spin-orbit interactions, and we find that a remarkably rich phase diagram emerges on tuning the correlation strength U. We also perform first principle linear response calculations of electron--phonon interaction in several proposed topological superconductors and argue that a highly unusual case of a singular coupling is realized for doped Bi₂Se₃. We discuss consequences of such singular behavior and uncover which peculiar details of the electrons interacting with lattice can provide a novel platform for unconventional and topological superconductivity phenomena.