Distance sets, lattice points, and decoupling estimates

Series
Analysis Seminar
Time
Wednesday, January 30, 2019 - 1:55pm for 1 hour (actually 50 minutes)
Location
Skiles 005
Speaker
Alex Iosevich – University of Rochester – iosevich@math.rochester.eduhttp://web.math.rochester.edu/people/faculty/iosevich/
Organizer
Galyna Livshyts
We are going to discuss some recent results pertaining to the Falconer distance conjecture, including the joint paper with Guth, Ou and Wang establishing the $\frac{5}{4}$ threshold in the plane. We are also going to discuss the extent to which the sharpness of our method and similar results is tied to the distribution of lattice points on convex curves and surfaces.