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VERSION:2.0
PRODID:-//Memento EPFL//
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SUMMARY:Assembly maps in coarse geometry
DTSTART:20160405T101500
DTEND:20160405T113000
DTSTAMP:20260406T172838Z
UID:dc8adc743ce707411725c4f91ce7c0356b920cfbf68ac984952e3e3b
CATEGORIES:Conferences - Seminars
DESCRIPTION:Matthew Gadsden\n(University of Sheffield)\nCoarse geometry is
  the study of large scale properties of spaces. In coarse geometry\, two s
 paces are considered the same if they "behave the same at infinity"\, negl
 ecting the fine detail which is important in topology. For example we cons
 ider the real numbers and the integers to be large-scale equivalent\, as t
 hey look the same when you view them from far away. Although seemingly com
 pletely opposite to topology\, many results and properties in topology hav
 e large-scale analogues in coarse geometry.\nIn geometric topology\, a num
 ber of different maps are known as assembly maps\, and various conjectures
  are present which say that these maps are injective under certain assumpt
 ions. The injectivity of these assembly maps give us geometric consequence
 s which are of interest to many.\nIn this talk\, I will introduce the area
  of coarse geometry and the concept of asymptotic dimension\, and explain 
 some of the links between this area and topology. I will give the framewor
 k required for a "universal" assembly map for finite asymptotic dimension 
 which will apply to areas such as C*-algebra K-theory\, algebraic K-theory
  and L-theory. A brief discussion of some of these areas will be given as 
 applications for the main result.
LOCATION:CM113
STATUS:CONFIRMED
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