### Distance sets, lattice points, and decoupling estimates

- Series
- Analysis Seminar
- Time
- Wednesday, January 30, 2019 - 13:55 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Alex Iosevich – University of Rochester – iosevich@math.rochester.edu

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.