# Analysis Seminar

## K-point Configuration Sets Via Microlocal Partition Optimization

Allan Greenleaf, University of Rochester

Friday, March 4th, 2022
1:00 PM - 2:00 PM
Zoom ID 926 6432 3774

Mattila and Sjolin (1999) proved that if a subset of $$\mathbb{R}^d$$ has Hausdorff measure greater than $$(d+1)/2$$, then its distance set has nonempty interior in $$\mathbb{R}$$. I will describe how to generalize this result to a wide range of $$k$$-point configuration sets, using microlocal analysis and an optimization procedure. This is joint work with Alex Iosevich and Krystal Taylor.

Event contact: dan dot geba at rochester dot edu