Here's the history:
The first watch is called the Deep Sea Special, it was strapped to the outside of the Trieste submarine on the first manned dive to the Mariana Trench in 1960, then the deepest known point in the ocean.
This watch has been locked up in a vault for 50 years, then it was taken out for the anniversary of the dive and that's it.
The second watch on display will be the Deepsea Challenge, this watch was worn by James Cameron when he reenacted the above dive last year.
Salt Lake is one of only five cities the watches will be on display, then they will go back to the vault. The watches will be here May 4-13.