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SUMMARY:Iker de las Heras Kerejeta (University of the Basque Country)
DTSTART:20210128T160000Z
DTEND:20210128T170000Z
DTSTAMP:20260423T021318Z
UID:GOThIC/15
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GOThIC/15/">
 Hausdorff dimension and Hausdorff spectra in profinite groups</a>\nby Iker
  de las Heras Kerejeta (University of the Basque Country) as part of GOThI
 C - Ischia Online Group Theory Conference\n\n\nAbstract\nThe Hausdorff dim
 ension is a generalisation of the usual concept of dimension which allows 
 to define the dimension of fractal sets in metric spaces. In the last deca
 des\, this notion has led to fruitful applications in the context of count
 ably based profinite groups\, as these groups can be naturally seen as met
 ric spaces with respect to a given filtration series.\n\nIn this talk we w
 ill give a brief introduction to this topic and we will overview some of t
 he main related properties. Finally\, we will present some results concern
 ing the so-called (normal) Hausdorff spectra of a given profinite group\, 
 which reflect the range of Hausdorff dimensions of closed (normal) subgrou
 ps.\n\nJoint work with Benjamin Klopsch and Anitha Thillaisundaram.\n
LOCATION:https://researchseminars.org/talk/GOThIC/15/
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