## Speaker:

Samuel Zbarsky

## Institution:

Princeton University

## Time:

Tuesday, November 5, 2019 - 3:00pm

## Host:

## Location:

RH 440R

I will define the centered maximal operator with respect to a convex body K and then address two related questions: When is there an L^p fixed point of the operator? When does the operator increase the L^p norm of a function by a factor of (1+\epsilon)? I will describe what is known about these problems and talk about open problems.