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SUMMARY:Keivan Mallahi-Karai (Jacobs University)
DTSTART:20200702T143000Z
DTEND:20200702T154500Z
DTSTAMP:20260423T021436Z
UID:BODS/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BODS/6/">Loc
 ally random groups</a>\nby Keivan Mallahi-Karai (Jacobs University) as par
 t of Bremen Online Dynamics Seminar\n\n\nAbstract\nGroups without non-triv
 ial low dimensional representations\,\nnamed quasi-random by Gowers\, have
  recently found many applications in\nstudying  group theoretical problems
  of combinatorial nature. Loosely\nspeaking\, non-existence of such repres
 entations forces the product map\non the group mapping $(a\, b)$ to their 
 product $ab$ to have a certain mixing\nbehavior.\n\nIn this talk\, after b
 riefly recalling the notion of quasi randomness\,  I\nwill discuss a gener
 alisation of this concept to the class of compact\ngroups. This property\,
  called local randomness\, is formulated in terms\nof unitary representati
 ons of the compact group $G$ and captures a similar\nmixing behavior at al
 l scales. I will discuss a number of related\nresults including  a classif
 ication of locally random groups\, a mixing\ninequality\, and\, if time al
 lows\, connection to spectral gap.\n\nThe talk is based on a joint work wi
 th Amir Mohammadi and Alireza Salehi\nGolsefidy.\n
LOCATION:https://researchseminars.org/talk/BODS/6/
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