What is Hummingbird and  Mobilegeddon update?

Google Hummingbird is a search algorithm used by Google from August 30, 2013. It was designed to embody the special characteristics of speed and precision.
Mobilegeddon is a name given by webmasters and web-developers to Google's algorithm update of April 21, 2015.
The main effect of this update is to give priority to the web sites that display well on smartphones and other mobile devices.

Google Hummingbird and Mobilegeddon are both google algorithm.