Aside from the location viewing changes mentioned earlier, there have been other tweaks to the app since its release. It's been updated several times and is already up to version 1.0.4 as of this writing.
Early on, there were only three icons at the bottom of the screen: the TV, camera and people icons. The main TV screen showed current livestreams, and it was reportedly hard to sort through the multitude of streams from all over the world to get to the ones you would most likely want to watch, like the streams of the people you follow.
Version 1.0.1 sorted the listings so that live broadcasts of users you follow would be at the top, and version 1.0.2 added the Global tab. Now the main viewing tab (the TV icon) shows current livestreams of those you follow as well as links to their recent streams, and the Global tab has the list of the most recent live broadcasts from strangers all over the world. Version 1.0.2 also added the ability to let you choose to only broadcast to your followers, added a Twitter verification badge, and made it easier to block offensive commenters (by tapping a comment and choosing a block option). Version 1.0.3 added the ability to see your own or other user's broadcast histories for the previous 24 hours and the ability to see if a user is live from their profile, improved the account sign up process and changed the front-facing camera's orientation as far as what viewers see. Version 1.0.4, the latest as of this writing, lets users upload or take a new profile picture (rather than just using the one from Twitter), reply directly to commenters by tapping on their comment and sign up using a phone number rather than a Twitter account.
Every update also fixes bugs and other issues, and more fixes and functionality changes are in the works. The Periscope team is reportedly working on map-based browsing that will let you find streams near you or in another area by location [source: Fingas].