Ballistic deposition is a model of interface growth introduced by Vold in 1959,
which has remained largely mathematically intractable. It is defined as a process
of vertically falling blocks that stick to the top, the right or the left of growing
columns. We introduce a variant, the one-sided ballistic deposition model, in
which vertically falling blocks can only stick to the top or the upper right corner
of growing columns. We establish that in dimension d=2, strong KPZ universality
holds near the time axis, proving that the fluctuations of the height function there
are given by the Tracy-Widom GUE distribution. The proof is based on a graphical
construction of the process in terms of a last passage percolation model. This talk
is based on a joint work with Pablo Groisman, Santiago Saglietti and Sebastián
Zaninovich.