Purdue University is a state university in Indiana, located in West Lafayette. It was founded in 1869 It is probably the greatest rival to Indiana University. The two universities have joined together for the IUPUI campus in Indianapolis. The IUPUI campus is administered by Indiana University while the IPFW campus is administered by Purdue University. From 1964-2018, there was also a joint campus in Fort Wayne (IPFW), but in 2018, it was split, with the medical programs becoming Indiana University Fort Wayne, and the remainder becoming Purdue University Fort Wayne.
Purdue University's abbreviation is usually just PU, but a lot of times you will hear the phrase IU and Purdue or IU vs. Purdue.