That strongly depends on what "current" books you mean:
There is the Berlin of the old Germany sourcebook (around 2052-54) where Berlin is an anarchistic hellhole with some high-security corporate sections inbetween.
THEN, the corps pushed back and tried to take over the city, but failed in taken it whole: the eastern half was walled off, keeping the anarchists in, while the corps worked hard to turn the Western part in a Corporate Utopia that would show the "old" (democratic) governments how the corps are SO much better at running things. This was in the late fifties to the late sixties (think "Cold War meets Snake Plisskin").
During the years, Berlin became a nightmare for the corps: Yes, it's INCREDIBLY expensive to rebuild a city and turn it into a corporate Utopia, esp. since even the non-anarchistic Berliners are, well, BERLINERS and not all too keen to behave, or follow regulations, or having any of that polish your boots, snap to attention, be an example bulldrek. Ultimately, the corps realized that they would never be able to take the whole of Berlin, and if they would actually succeed in taking control of the anarchist Eastern half that would basically force all of them into bancruptcy (not really, but the figures looked like a Return On Investment would be possible somewhere around, oh, year 6.832 after the death of Golmukh the Great, so...).
A terrorist attack with nanites (a solid 15 years before CFD, we are talking SURTR here) brought Berlin to the brink of yet another war between anarchists and the falling number of corporations in Berlin (some were swallowed, some withdrew from the Berlin project), so there were a load of round table meetings and a new truce was signed, leading to the current "Unity" of Berlin (since 2071) where there are corporate districts, anarchist districts and "normal" districts and everyone can pretty much do as he pleases within his own area (the system is set to harmonize regulations, standards and law(!) across all areas of Berlin, but there are a lot of veto rights, and since NEITHER the anarchists NOR the corporations want to give up their (quasi-)extraterritorial status in Berlin, the arguments about that are pretty much done for the cameras.
It's not very likely that the corps will "push" for anything in the near future, except, maybe, the BERVAG, the huge administration corporation of Berlin that is controlled by the Senate where corps, anarchist representatives and elected candidates meet and talk A LOT. Of course, the Berlin administration corporation needs quick decisions sometimes, so when the Senate cannot find an agreement (= ALL THE TIME) the mayor of Berlin (who acts as CEO of the BERVAG) can decide on his own (currently, that's Yilmaz Wojenko, a Psi-Aid man and elected representative of the "normal" district Spandau (a former part of the Aztechnology corporate sector).
So there you have it. And if anyone asks about Berlin, please link to this comment
and the shadowrunberlin.de website, plus refer to the BERLIN SOURCEBOOK by Pegasus that was published in 2011(? I think) where the whole details of Berlin 2073 are laid down.
And if you want an English version of that for 2075+ (SR5), then feel free to tell Catalyst / Jason Hardy – I'd be more than happy to write that up with the help of the other authors.