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SUMMARY:Hausdorff spectrum of p-adic analytic pro-p groups -  Anitha Thill
 aisundaram (Lund)
DTSTART:20260501T124500Z
DTEND:20260501T134500Z
UID:TALK239776@talks.cam.ac.uk
CONTACT:Francesco Fournier-Facio
DESCRIPTION:The concept of Hausdorff dimension first arose in the context 
 of fractals. With time it was also applied to other areas of mathematics\,
  and this was extended in the 90s to profinite groups. A special class of 
 profinite groups includes the p-adic analytic groups\, which have a rich g
 eometric and analytic structure\, and play a key role in the theory of gro
 ups. It is an open question still whether p-adic analytic groups can be ch
 aracterised by the set of Hausdorff dimensions of their subgroups\, i.e. t
 he so-called Hausdorff spectrum. In this talk\, we survey what has been do
 ne towards answering this question\, and we include recent results concern
 ing the Hausdorff spectrum when computed with respect to the lower p-serie
 s. This is joint work with Iker de las Heras and Benjamin Klopsch.
LOCATION:MR13
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