This has been going on for some time. Whenever I type
twitter.com into Chrome's omnibar, I am redirected to
https://twitter.com/search/%7BsearchTerms%7D?source=desktop-search. Given the tweets showing there, this seems to be a common problem, though my searches only turned up one guy who recorded a video describing the problem.
After clicking Twitter's Home button, I wind up at the home page I expected to reach in the first place.
I have been able to reproduce this on Chrome on Windows, Mac OS X and Linux. It doesn't seem to affect other browsers such as Firefox. I have cleared cache, cookies, tried a completely different machine, the usual stuff.
My current environment is: Chrome
Version 22.0.1229.94 m on Windows 8.
I have also experienced this on many previous versions of Chrome, running on Fedora 17 and OS X 10.7.