# Generic theory for PDEs and non-cooperative games

## Meeting Details

Abstract: Mathematicians seek to prove statements that are universal", i.e. true in all possible cases. However, it often happens that our beautiful conjectures are trashed by the discovery of unexpected counterexamples. Developing a generic theory" is a way to remedy this situation. Rather than covering all possible cases, we seek properties which hold true in nearly all" cases, with the possible exception of a set which is either of probability zero or meager in the sense of Baire category. Examples of this approach will be discussed, including singularities for solutions to PDEs, and equilibria for non-cooperative games.