The principle of simultaneous saturation: application to the k-linear restriction/extension problem

Navigating The Paper

Paper overview

Theorem dependency diagram

Inside The Proof: Theorem 1.2

Definition of a simultaneous system

Set up and large eigenvalues

Weaving patterns and loop conditions

Constructing the loop averaging operator

The trace bounds

Dealing with the case M odd

Inside the Proof: Theorem 2.4

Multlinear restriction problems

Multilinear estimate (using transversality)

Linear estimate (using curvature)