MATH Seminar
| Title: Non-measurable colourings avoiding large distances |
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| Seminar: Discrete Mathematics |
| Speaker: James Davies of Junior Research Fellow at Trinity Hall, Cambridge University |
| Contact: Liana Yepremyan, liana.yepremyan@emory.edu |
| Date: 2024-10-10 at 4:00PM |
| Venue: MSC W303 |
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| Abstract: In 1983, Furstenberg, Katznelson, and Weiss proved that for every finite measurable colouring of the plane, there exists a $d_0$ such that for all $d\geq d_0$ there is a monochromatic pair of points at distance $d$. In contrast to this, we show that there is a finite colouring avoiding arbitrarily large distances. This is joint work with Rutger Campbell. |
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