Manchester Number Theory Seminar - Ben Ward
| Dates: | 31 January 2023 |
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| Times: | 15:00 - 16:00 |
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| What is it: | Seminar |
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| Organiser: | Department of Mathematics |
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| Who is it for: | University staff, External researchers, Current University students |
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Speaker: Ben Ward (University of York)
Title: \psi-badly approximable points
Abstract: In this talk I will discuss recent work with Henna Koivusalo, Jason Levesley, and Xintian Zhang on the set of \psi-badly approximable points. \psi-badly approximable points are those which are \psi-well approximable, but at the same time not c\psi-well approximable for arbitrary small constant c>0. In 2003, Bugeaud proved in the one dimensional setting that the Hausdorff dimension of \psi-badly approximable points is the same as the Hausdorff dimension of \psi-well approximable points. Our main result provides an n-dimensional analogue of Bugeaud's result. In order to do this we construct a Cantor set that simultaneously captures the well approximable and badly approximable nature of \psi-badly approximable points.
Room: Frank Adams 1
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Frank Adams 1
Alan Turing Building
Manchester
GB
