Manchester Geometry Seminar - Pavel Tumarkin
| Dates: | 23 October 2023 |
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| Times: | 13:30 - 14:30 |
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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: Professor Pavel Tumarkin (Durham)
Title: The Farey graph and ideal tetrahedra
Abstract: We explore a 3-dimensional counterpart of the Farey tessellation and show that it inherits many properties of the usual 2-dimensional Farey graph. In particular, we get a classification of SL_2-tilings over Eisenstein integers in terms of pairs of paths on the graph. We also get a 3-dimensional counterpart of the Ptolemy relation. The talk is based on a joint work with Anna Felikson, Oleg Karpenkov and Khrystyna Serhiyenko.
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Frank Adams Room
Alan Turing Building
Manchester
