Title:
What happens when you push measures using polynomial maps – a dictionary between algebraic geometry and analysis.

Abstract:
We will discuss the following question: given a polynomial map between two affine spaces V and W, what can be said about the collection of measures on W obtained as the pushforward of smooth, compactly supported measures?
We will discuss two perspectives on this question: 

(1) what happens to individual measures, and 

(2) what happens to the collection.


The talk is based on several joint works with Nir Avni.