Colloquium

Alex Iosevich, University of Rochester

"Analytic, geometric and combinatorial aspects of the Falconer distance conjecture" 

The celebrated Falconer distance conjecture seeks to connect the Hausdorff dimension of a set and the Lebesgue measure of the corresponding set of distances. In the course of trying to solve this conjecture, some of the most powerful techniques from harmonic analysis and related areas were employed. We are going to describe these efforts and point out a number of intriguing connections between the Falconer conjecture and several interesting problems in analytic number theory and geometric combinatorics. 

MC 5501