# Combinatorics Seminar

## A non-linear Roth theorem for fractals of sufficiently large dimension

Ben Krause, California Institute of Technology

Tuesday, May 21st, 2019
11:00 AM - 12:00 PM
Hylan 1106A

Suppose that $d \ge 2$ and that $A \subset [0,1]$ has sufficiently large dimension smaller than one. Then for any polynomial $P$ of degree $d$ with no constant term, there exists $(x, x-t, x-P(t))$ in $A$ with $t \approx 1$.

Event contact: hazel dot mcknight at rochester dot edu