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Mini-Workshop: Superexpanders and Their Coarse Geometry

dc.date.accessioned2019-10-24T15:42:55Z
dc.date.available2019-10-24T15:42:55Z
dc.date.issued2018
dc.identifier.urihttp://publications.mfo.de/handle/mfo/3641
dc.description.abstractIt is a deep open problem whether all expanders are superexpanders. In fact, it was already a major challenge to prove the mere existence of superexpanders. However, by now, some classes of examples are known: Lafforgue’s expanders constructed as sequences of finite quotients of groups with strong Banach property (T), the examples coming from zigzag products due to Mendel and Naor, and the recent examples coming from group actions on compact manifolds. The methods which are used to construct superexpanders are typically functional analytic in nature, but also rely on arguments from geometry and combinatorics. Another important aspect of the study of superexpanders is their (coarse) geometry, in particular in order to distinguish them from each other. The aim of this workshop was to bring together researchers working on superexpanders and their coarse geometry from different perspectives, with the aim of sharing expertise and stimulating new research.
dc.titleMini-Workshop: Superexpanders and Their Coarse Geometry
dc.identifier.doi10.14760/OWR-2018-19
local.series.idOWR-2018-19
local.subject.msc20
local.subject.msc05
local.subject.msc46
local.sortindex1081
local.date-range15 Apr - 21 Apr 2018
local.workshopcode1816c
local.workshoptitleMini-Workshop: Superexpanders and Their Coarse Geometry
local.organizersAnastasia Khukhro, Neuchatel; Tim de Laat, Münster; Mikael de la Salle, Lyon
local.report-nameWorkshop Report 2018,19
local.opc-photo-id1816c
local.publishers-doi10.4171/OWR/2018/19
local.ems-referenceKhukhro Ana, de Laat Tim, de la Salle Mikael: Mini-Workshop: Superexpanders and Their Coarse Geometry. Oberwolfach Rep. 15 (2018), 1117-1160. doi: 10.4171/OWR/2018/19


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