What are the target gas fees for ETH 2.0 and beyond?

With ETH2.0 and the expected reduction in gas fees, has any dev said anything about what target they are aiming for?

I know more complex smart contracts has higher fees, but say for a simple ETH transcation, do we know what we are expcting?

sub $1 would be a great improvement to the current situation, but that's still a big difference to sub cent transcations in terms of possible use cases.