Bodan Arsovski


The p-adic Kakeya conjecture

Combinatorics Seminar

23rd November 2021, 11:00 am – 12:00 pm
Virtual (online) Zoom seminar; a link will be sent to the Bristol Combinatorics Seminar and Heilbronn Number Theory Seminar mailing lists, the week before the seminar.

We prove that all bounded subsets of Q_p^n containing a line segment of unit length in every direction have Hausdorff and Minkowski dimension n. This is the analogue of the classical Kakeya conjecture with R replaced by Q_p.

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