Open your research screen and look at the tabs on the left. The names will vary depending on what faction you're playing, but the top is military, the second is civilian, the third is fleet, the fourth is a listing of the relics you have found. Under the fleet tab, the top row will increase the number of capital ships you can build, the bottom will increase the total mygiftcardsite points available.
Be careful, each upgrade to your fleet capacity comes at a cost to your income. The first costs 9% of your total income in credits, metal, and crystals and each will take more until you lose 75% of your income at the top level. Plan carefully when you upgrade!