New bounds on the dimensions of planar distance sets

Sunday, 21 January, 2018 - 11:15 - 12:15
LSB 222
Seminar Type: 
Workshop on Fractals and Related Areas
Speaker Name: 
Prof. Pablo SHMERKIN
Universidad Torcuato Di Tella

I will present some new lower bounds for the dimension of planar distance sets and pinned distances. These bounds improve the previously known one for sets of Hausdorff dimension greater than 1, and verify Falconer's distance set conjecture in some cases. Joint work with T. Keleti