On the last leg of my trip to Europe to check out Web 2.0 companies, BoomTown spent the day at the Royal Society in the tony environs of St. James’s Park and Pall Mall, for some more lively discussions with more students, academics and entrepreneurs in England.

The Royal Society, by the way, is an “independent scientific academy of the UK and the Commonwealth dedicated to promoting excellence in science.”

In other words: Geek Central of London for more centuries of nerdiness than you can shake a powdered wig at (and, let me just say, there were a lot of powdered wig-wearing techies back when).

As I have written, it’s been a really interesting visit here overall, first at Cambridge University and now here, where a group of entrepreneurs, academics, execs and venture capitalists from Silicon Valley have been mingling with British students, academics and tech entrepreneurs.

It’s all been organized by Ellen Levy of Silicon Valley Connect and U.K.-based tech entrepreneur Sherry Coutu, in partnership with the National Endowment for Science, Technology and the Arts.

So here’s my final video of the events, including interviews with European VC Saul Klein of Index Ventures, as well as Silicon Valley visitors Hans Peter Brondmo of the start-up Plum and Emily Melton, a VC with Draper Fisher Jurvetson.

The conclusion: It’s a small world, after all, as you will see. Also a message from the Queen:

Here’s a video about the visit to Cambridge, including interviews with three cool locally based start-ups–one mobile content play called Bango; Cambridge Temperature Concepts, a fertility company; and Grapeshot, a search algorithm technology business.

All are typical of the “Cambridge phenomenon”–that is, start-ups growing up around the area due to the proximity to the university, which is also known as the Cambridge Cluster or Silicon Fen:

Of course, badly losing the debate at the Cambridge Union Society about where the future home of billion-dollar companies would be was harsh, but there were benefits too.

One of the great things about the discussions at the Judge Business School here–which have been organized by Ellen Levy of Silicon Valley Connect and UK-based tech entrepreneur Sherry Coutu, in partnership with the National Endowment for Science, Technology and the Arts–was the chance to pick your ostrich head up out of the insular hole that is Silicon Valley.

The two days of talks and dinners were useful too to see how much other tech cultures want to learn from Silicon Valley, and also how much tech leaders in California can learn in turn.

(There was also a feast.)

One of the most important things a number of Europeans pointed out, for example, was our obsession with the ultra-trendy (this year, that would be Facebook), at the expense of the much more important paradigm shift (a significant shift toward a more mobile Web experience).

Today, we are all in London at the Royal Society–the U.K.’s top science academy–for another series of talks with students and Web company execs here about the landscape of the Internet.