| Résume | Global types invariant over small sets of parameters are a central concept in stability and neo-stability theory. When dealing with NIP theories in particular, it is often useful to generalize to Keisler measures, finitely additive probability measures on the Boolean algebra of definable sets. Invariant types in NIP theories behave very regularly, and these properties extend readily to invariant measures. In this talk, we will present an ornate but conceptually simple theory that is the first known counterexample to two non-NIP generalizations of statements regarding types and measures as well as the second known (correct) counterexample to another such generalization. Joint work with Gabriel Conant and Kyle Gannon. |
