Blue verification badges are used to establish authenticity of identities of key individuals and brands. You’ll see this badge on select accounts, next to a broadcaster’s username.
If you are verified on Twitter, your verification badge will carry over to the Periscope account that’s attached to your verified Twitter account. If you created your Periscope with a non-verified Twitter account or phone number, a badge will not carry over and you'll need to create a new Periscope with your verified Twitter account.
Periscope does not have the ability to add verification badges to accounts at this time. Verification is handled by Twitter and is closed to the general public. Learn more about Twitter's verification process here.