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