They never completely gave up on mobile, they gave up on mobile in-browser plugins, essentially because they realized they'd never be let onto Safari. They've

They never completely gave up on mobile, they gave up on mobile in-browser plugins, essentially because they realized they'd never be let onto Safari. They've continued to develop Flash/AIR tools for standalone mobile apps and the tools have improved quite a bit though obviously they still take a speed/size hit compared to true native and the resulting apps feel not-quite-native on any of the supported platforms. They are still highly focused on HTML5 for their traditional non-game users (mostly people in marketing and advertisement and other interactive design fields). But they're also focused on keeping the Flash platform going as both a cross-platform mobile app solution and a "game console for the web". Their strategy here hasn't really changed since Adobe Max 2011 but their message has been twisted a lot by various "camps" both pro and anti Flash.