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VERSION:2.0
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SUMMARY:Unitarisability of discrete groups
DTSTART:20181031T150000
DTEND:20181031T160000
DTSTAMP:20260415T081420Z
UID:953db90bfe760ed5e1f544f48f4395f950073ef26b6958dd8c880a45
CATEGORIES:Conferences - Seminars
DESCRIPTION:Maria Gerasimova (Dresden)\n\n	A group G is called unitarisabl
 e if every uniformly bounded representation of G in a Hilbert space can be
  conjugated to a unitary representation. It is well known that amenable gr
 oups are unitarisable. It has been open ever since whether this characteri
 ses the unitarisability of a group.\n	One of the approaches to study unita
 risability is related to the space of Littlewood functions T1(G). We defin
 e the Littlewood exponent Lit(G) of a group G as follows:\n	Lit(G) = inf {
  p : T1(G) ⊆ lp(G) }.\n	On the one hand\, Lit(G) is related to unitarisa
 bility and amenability and\, on the other hand\, it is related to some geo
 metry of G or\, more precisely\, to the behavior of Cayley graphs when one
  increases the generating sets of G. We will discuss some applications of 
 this connection.\n	We will also discuss the notion of p-isometrisability f
 or uniformly bounded representations on p-spaces\, which coincides with th
 e usual unitarisability if p = 2. We will discuss examples of p-isometrisa
 ble groups and mention open questions and conjectures.\n	This is joint wor
 k with Dominik Gruber\, Nicolas Monod and Andreas Thom.\n
LOCATION:MA A3 30 https://plan.epfl.ch/?room=MAA330
STATUS:CONFIRMED
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