Formation of the First Galaxies and their connection with local dwarfs

One of the biggest challenges in modern cosmology is to understand the first generation of stars
and galaxies that formed during the cosmic Dark Ages. Since they reside in observationally
unexplored territory, we need to predict the properties of the first galaxies by pushing numerical
simulations to new levels of physical realism and detail.  In this talk, I will present the results of
our highly-resolved cosmological ab-initio simulations to understand the assembly process of first
galaxies under the feedback from the first generation of stars, the so-called Population III.
I will show the resulting key physical quantities of the first galaxies derived from our simulations.
Also, I will illustrate how first galaxies can be connected with their local descendants in terms of
chemical abundances in the local ultra faint dwarf galaxies.