Things are sure shaking over at Google, since the sudden departure on Monday of Jonathan Rosenberg, Google’s head of product management and one of its most senior executives.

While his exit was portrayed as friendly all around, sources with knowledge of the dicey situation said that was definitely not the case.

Instead, moving aside Rosenberg was newly installed CEO and Co-founder Larry Page’s first parry at remaking the search giant in his own image.

Moving management chairs around is one of the tried-and-true way new leaders often try to effect that kind of dramatic change and several sources said Page has been tossing them about rather than just rearranging them.

That was certainly clear in last night’s knighting of six new SVP titles upon a group of execs, all very close to Page.

The promoted in new business units: Sundar Pichai, SVP of Chrome; Vic Gundotra, SVP of social; Andy Rubin SVP of mobile; Salar Kamangar SVP of YouTube and video; Alan Eustace SVP of search; Susan Wojcicki SVP of ads.

Of them, Eustace was previously an SVP, in charge of engineering and research, and Wojcicki had recently held the title SVP of product management.

It’s all the next step in Page’s overhauling the company’s management structure, as I reported in this column earlier this week was in the works.

As I wrote:

The main theme that seems to be emerging: An elimination of Google’s more centralized functional structure–where Rosenberg was one of several manager kingpins–to one in which the individual business units and their engineers, such as its most independent Android division, rule more autonomously.

Reimagined like this, Google would become an ambidextrous organization with more powerful unit line execs, mostly engineers, doing what needs to be done to succeed, less burdened by the need to vet every little effort through various managers of Google’s powerful operating committee.

This, of course, brings into focus that fates of several other SVPs on the formal management structure list on Google’s Web site and still serving on that OC.

Leaving Eustace off, since he has a new SVP title, they are: Nikesh Arora, SVP and Chief Business Officer; David Drummond SVP, Corporate Development, and Chief Legal Officer; Shona Brown, SVP, Business Operations; and Patrick Pichette, SVP and Chief Financial Officer.

How their roles evolve or do not–all might stay as is, of course–will be the next interesting part of what I am calling PageYank:

Nikesh Arora:

In a widely read column earlier this week, investing gadfly Eric Jackson argued that Arora is probably the most vulnerable of all the senior executives at the company.

The high-profile Arora is well known both inside and outside the company as both highly ambitious and consistently pugnacious.

While that is not necessarily a bad thing to be, that style has garnered him some criticism and he is often referred to as “Darth Vader” among detractors (and even some supporters).

Still, Arora has been a consistent producer of results over his tenure, which might be all that matters. In fact, it might also make him an attractive candidate for a CEO job outside Google.

But, perhaps most important right now though, is that Arora is “definitely not part of Larry’s inner circle,” said one source, adding “and that’s a very important place to be right now.”

Incidentally, that inner circle currently seems to consist of many of those promoted last night–Kamangar, Rubin, Pichai and Gundotra–as well as search leads Udi Manber and Amit Singhal and, of course, Co-founder Sergey Brin.

And not, it seems, Arora.

David Drummond:

With Kent Walker recently promoted to an SVP title, along with being Google’s general counsel, does the company need a Chief Legal Officer or does it need to winnow down another layer of management?

As one source told me, “Why do you need a Drummond, when you’ve got a Walker?” It’s a fair point.

While also in charge of both public policy and corporate development, Drummond has been known more for benign absence at Google than for aggressive presence.

Some also suggest that the affable exec, who has been at Google since early on and is presumably very wealthy, might also not want to sign up for the long-term commitment that Page now expects of his top managers.

Shona Brown:

Before she came to Google, Brown spent a decade consulting for McKinsey and is widely credited with optimizing Google’s internal structure.

But Page is not a McKinsey guy and he’s obviously not a big fan of Google’s current management organization anymore.

That might not bode well for the legendarily sharp-elbowed Brown who most sources describe as highly strategic but also as extremely difficult to work with.

Still, if Page is tinkering with the way Google is organized, Brown might also be the one he turns to find a new structure.

That said, he seems to be fine doing it on his own and some suggest Brown will move to another role within the company rather than leaving.

Not all agree.

Said one source: “I wouldn’t be shocked to see Shona go. Frankly, I’m surprised she survived as long as she did, but then I didn’t think Rosenberg would last this long either.”

But, said another about Brown, who has previously taken time off from Google and returned: “I’d never count Shona out.”

Patrick Pichette:

He’s not going anywhere, as far as I can tell. The friendly and erudite Pichette is widely admired at the company and by Page–the most important admirer of all at Google these days.

He’s also been a smart and stable presence on earnings calls and does a job with Wall Street analysts and investors that Page is pretty much uninterested in and–more to the point–completely incapable of doing well.

Let’s be honest about the socially awkward CEO: Page’s frequently prickly and robotic style makes Facebook’s Mark Zuckerberg look like Cary Grant.

Pichette stays.

As for everyone else, as Page reaches even further down into the organization at Google, it will be interesting to see where the next chair will fall.

One thing is clearest of all: Page is positioning himself as the centerpoint of the entire company.

Because make no mistake, these new autonomous divisions all report to him, in a system that mimics Apple and its legendary leader Steve Jobs.

A tough act to follow, to be sure.

PREVIOUSLY:

• Google’s Page Begins Major Reorg: Engineers, Not Managers, In Charge
• Product Chief Jonathan Rosenberg to Leave Google
• Larry Page as CEO: Steve Jobs or Jerry Yang?

Suddenly, search!

Earlier this week, Google put on a show called “Searchology” about its latest search innovations at its HQ in Silicon Valley.

And next Tuesday, Yahoo will trot out its search extravaganza, called “Search chalk talk,” during which top search techies will talk up its more innovative products, such as Build Your Own Search Service (BOSS) and Search Monkey.

Could all this search blabbing have anything to do with a certain upcoming launch of a new search offering by a very rich and even more determined giant tech company?

As in: Microsoft (MSFT) and whatever it ends up calling its redone search product, code-named Kumo.

Since the launch is likely to be loud and splashy, the No. 1 and No. 2 search players needed to make some of their own noise in advance about their stuff.

So Google (GOOG)–which has a massive lead in search of upward of 70 percent–trotted out Udi Manber, VP of Search Engineering, and Marissa Mayer, VP of Search Products and User Experience, this past Tuesday for a media audience.

The distillation of the event was that doing search well is still really, really hard–a new kind of “rocket science,” in fact, as Manber declared.

(Google’s spaceship crashed a bit today, as it turned out, with an outage, which was blamed on a “traffic jam” in Asia.)

At the event, the search giant also unveiled some new bells and whistles, such as Search Options, including a “Wonder Wheel” and “Google Squared,” as well as “Rich Snippets.”

Not to be outdone, Yahoo (YHOO) will have its own confab for reporters and bloggers next Tuesday morning in San Francisco.

Presenting at the event with be: Prabhakar Raghavan, head of Yahoo Labs and Yahoo Search Strategy; Larry Cornett, VP of Consumer Products; and Lee Ott, senior director, Mobile Search.

Yahoo has a search share that hovers around 20 percent, which makes the upcoming increased competition from Microsoft more problematic.

Which is why the company continues its talks with Microsoft about a search and online advertising partnership.

But until any deal is struck, of course, it will be competition as usual.

Please see this disclosure related to me and Google.

Gabriel Stricker, Google’s Director of Search Communications kicks things off by noting that the company will be sharing a number of new developments that cater to the growing demands of its users. With that, Udi Manber takes the stage to offer a big-picture overview of search.

Manber says what Google does is the new “rocket science.” Search has to be fast, relevant, and fresh, he explains. But even that’s not enough. The real goal is to solve users’ problems. If users can’t spell, it’s our problem. If the content is there but in a language the user doesn’t speak, that’s our problem. If the Web is too slow, it’s our problem. Manber offers a few examples of how Google works to address these challenges: real-time data, translation, etc. With these services nailed down, he says, Google can move on to the more important task of working on “understanding.”

Manber invites Pat Riley, senior search quality engineer, to the stage to talk a bit about Google’s “did you mean” link. Lots of people use the link, Riley says, and Google has been working to improve it. Called “spellmillion,” the project provides not only related results for a misspelled query but for alternate ones as well (think labor as in “work” and labor as in “pregnancy”). But it requires Google to process multiple searches for a single query and demands a lot of processing power.

Riley notes that the project has been somewhat contentious because it also potentially questions user intent. He offers the example of “Macy Ray.” Some users might be searching for “Macy Gray,” the singer, others for a person actually named “Macy Ray.” How do you address those two potential queries on a single search results page?

Riley is followed by Engineering Director Scott Huffman, whose subject is mobile search. Huffman starts things off with a few truisms. Mobile search is often local. It should be easy to use. Effortless. And it should provide all that Google has to offer. Huffman notes that this is quite a task since Google must optimize its search for different mobile experiences and different user interfaces: Google’s own Android, Apple’s (AAPL) iPhone, etc. Some of these platforms require gestures–touch, swipe–others use a keypad. All must provide access to the Web and the mobile Web–sites that have been optimized for mobile devices. On the screen behind him, Huffman displays an example of Google search that displays desktop Web results and mobile Web results, the latter denoted by a red square.

Mobile search must also be easy. Huffman demos a shared desktop-mobile search for a flight number. Since he’s logged into his Google account, his search for “ba 284? SF-London on the desktop is immediately shared with the Google app on his mobile device. An unreleased feature, but it’s on its way. A quick look at local listings automatically delivered to devices on the basis on GPS/cell tower location, and then Huffman brings Mayer on stage.

Mayer talks a bit about universal search before moving on to Google’s “bento box” of search results. She talks about Google’s focus on the importance of presentation and its efforts to make search results more usable for the user. An example of this SearchWiki, a tool that allows users to annotate their searches, to “keep their train of thought,” says Mayer. We need to help our users find more and do more with it, she says, noting that the company is still working to address some longstanding user problems:

• Finding recent information
• Expressing that you want just one type of result
• Assessing which results are best
• Knowing what you’re looking for
• Expressing your searches in keywords

Mayer introduces Google Search Options, a feature that appends a search option panel to results, allowing users to “slice and dice” the results as they choose. A demo of the feature, in a search for “Hubble Telescope,” allows for search calibration by time, pages that include images, etc. Another search for “solar oven” is filtered down to specific genres–videos, discussion forums, reviews. Click on those links and that new search context is immediately displayed on the page.

Interestingly, the reviews feature uses something called “sentiment analysis” to extract sentiments from a review and present them in displayed snippets.

Search Options also includes a timeline feature that allows users to visualize results over time. And there’s something called “Wonder Wheel,” which presents a visual representation of a query surrounded by potential refinements (hence “Wonder Wheel”). Click on a refinement and results update automatically. Search Options should be going live now, says Mayer.

A bit of geometry monomania here today at Google Searchology. First the Wonder Wheel and now “Google Squared,” a sort of spreadsheet visualization of search being cooked up in Google Labs. Unstructured data pulled directly from search and organized according to the whim of the user. A search for “small dogs” pulls up a lists of–wonder of wonders–small dogs organized by size, weight, breed, etc. Click on an individual cell and you can change its source. Pretty slick. Still a work in progress, though. It should be available later this month, Mayer says during the Q&A.

Another new feature: Rich Snippets. A search for “drooling dog BBQ” returns your standard Google results along with a list of metadata–average user reviews, for example. A search for a GPS system includes an additional pointer to a recent CNET review of the unit in question. Rich Snippets is open API, incidentally.

Last up, an Android star map app that uses GPS to create a star map “local to your place on earth” and to your position. Move the phone and the map adjusts to your view–essentially the app transforms the device into map overlay for the sky. And how does this tie into search? Search for “Gemini” and a sort of pointer appears onscreen directing you to its location in the sky. And with that, Mayer wraps things up.