Hi,

I think they don't expect you to know any specific algorithm, especially not advanced CP concepts.
Naturally, it is always useful to know more, so if you think you have some spare time, try to read about some popular advanced topics that are commonly asked.
I would say it's much more important to practice in the interview setting (speaking out loud, timing yourself, solving harder problems in text editor).

Google focuses on evaluating your abilities to:

Problem solve
Communicate
Code
Use data structures and algorithms
I think for data structures and algorithms, they want you to be very comfortable with basic concepts, so that you can easily use them in approaching more complex concepts.
First they want to see how you are thinking and problem solving, so talking while you think is very important.
After you reach a solution, then they also want to see your coding skills.