Where exactly is all our wallet info stored?

When we look at individual cryptos, the crypto itself is stored on the network. Your private key is your ownership and access to the crypto which is stored with you, and links to the public key stored on the network.

Makes sense. But how does this work with wallets and seeds?

How does a certain set of words allow me to pull up my multicoin wallet with several different cryptos?

Where is this information stored? How is it possible that I can use this same seed with another wallet provider and still pull up my wallet with my coins (as long as the coins are supported)?

What network is this information being stored on?