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Invited talk

Friday, July 23, 14:45 ~ 15:45 UTC-3

Counting distances and directions in fractals

Pablo Shmerkin

University of British Columbia and T. Di Tella University, Canada and Argentina   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

Counting patterns such as distances or directions in finite sets is a classical problem in geometric combinatorics. Starting with work of Falconer in the 1980s, there has been a lot of interest in studying geometric patterns in "large" subsets of Euclidean space (fractals). I will introduce this general class of problems, and describe recent progress on two specific instances - the Falconer distance set problem and the radial projection problem. Based partly on joint work with T. Keleti and with H. Wang. No specialized background will be assumed.

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