Recording:<\/p>\n\n\n\n
https:\/\/zoom.us\/rec\/share\/pN2Jq_3ylNOQ4XSsxyAfawtI4Lmeaa8gCdPrPRYyhqWc4EB0RsDBzLHR0-jrEH5<\/a><\/p>\n\n\n\n <\/p>\n\n\n\n Geometry & Topology Seminar<\/u><\/strong><\/p>\n\n\n\n Speaker: Ren\u00e9 R\u00fchr (Technion)<\/p>\n\n\n\n Topic: Counting in Cut-And-Project Quasicrystals<\/p>\n\n\n\n Place: This is an online seminar.<\/p>\n\n\n\n Time: 10:00<\/p>\n\n\n\n Date: Tuesday, April 21, 2020<\/p>\n\n\n\n Abstract<\/u><\/strong>:<\/u><\/strong>A cut-and-project set is constructed by projecting (part of) a lattice in Euclidean space to some subspace. These point sets constitute an important example of so-called quasicrystals. We shall describe counting result for patches in generic cut-and-project sets which will follow from generalizing certain L^2 discrepancy bounds for lattices due to Rogers and Schmidt from the 50’s. During the talk, we shall present some classification results of the moduli spaces of cut-and-project sets introduced recently by Marklof-Str\u00f6mbergsson. These are obtained by considering the orbit closure of the special linear group in d-space acting on a lattice L inside the space of unimodular lattices of rank d+m. Theorems of Ratner imply that these are meaningful objects. Based on joined work with Yotam Smilansky and Barak Weiss.<\/p>\n","protected":false},"excerpt":{"rendered":" Recording: https:\/\/zoom.us\/rec\/share\/pN2Jq_3ylNOQ4XSsxyAfawtI4Lmeaa8gCdPrPRYyhqWc4EB0RsDBzLHR0-jrEH5 Geometry & Topology Seminar Speaker: Ren\u00e9 R\u00fchr (Technion) Topic: Counting in Cut-And-Project Quasicrystals Place: This is an online seminar. Time: 10:00 Date: Tuesday, April 21, 2020 Abstract:A cut-and-project set is constructed by projecting (part of) a lattice in Euclidean space to…
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