system
Given the following post, respond as if you're commenting on Reddit:
human
What is the proper sequence after being recommended to a famous prof. via e-mail?

I just started my postgraduate studies in the UK, and my advisor really liked the idea of one of my side-projects and sent an e-mail to a famous US professor. In it he just says that he thinks that the project that I'm planning might also be of relevance to him and that we should talk if we find time, all the while praising me very highly.

I am, of course, flattered but unsure what to do next. Should I now send this prof an e-mail? Or should I wait for him to respond to my advisor and me (I was cc-ed). Please help. :)
gpt
It is better to write a friendly email than to do nothing. 

Is the project described by your adviser in the email? If not then you should describe it. 

Note that many famous professors just don't reply to the first six emails they get on a topic, so don't read too much into non response should that happen.