Mittagsseminar (in cooperation with J. Lengler, A. Steger, and D. Steurer)

Date and Time: Tuesday, June 01, 2021, 12:15 pm

Duration: 30 minutes

Location: Zoom: conference room

Speaker: François Clément

Erdős-Falconer distance problem: distribution of distances in five dimensions

In this talk, I present a recent result on the Erdős-Falconer distance problem in five dimensions. More precisely, for a subset A of F_p, if the size of A is at least p^{13/22}, then all distances are determined by pairs of points in A^5. This improves previous results by Iosevich and Rudnev (2007), and Pham and Vinh (2020).

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