# What analysis and PDE have to do with combinatorics?

## Speaker:

## Institution:

## Time:

## Location:

Let *X* be a finite collection of sets. Given *n*>*1* what is the maximal number of ways disjoint union of *n* sets (elements from *X*) is again a set in *X*? We will estimate this number in terms of n and the cardinality of X.