The stars themselves, however, will continue to burn for a long time. The Universe is already 14 billion years old, but the longest-lived stars today — the low-mass red dwarfs — will continue burning through their fuel extremely slowly: for perhaps more than 100 trillion years. After that, they’ll cool and contract, becoming white dwarfs and eventually going dark, a process that may take upwards of a quadrillion (10¹⁵) years. Even at that, there will still be new chances for flashes, flares, and other forms of illumination in the Universe. Brown dwarfs, which themselves are failed stars, will eventually collide-and-merge with one another, giving rise to new stars if they cross that threshold. Neutron star or white dwarf mergers will create a brief burst of energy. Amidst a dark cosmic backdrop, the occasional new light source will still emerge in our galactic remnant.
You may want to include the effects of expansion. The universe is currently expanding, and that expansion is accelerating. Gravitationally bound clusters and galaxies will remain bound, but their separation will increase. Eventually, each galaxy will be visually isolated.