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SUMMARY:Intersections and embeddings of self-similar sets - Mike Hochman (
 The Hebrew University\, Jerusalem)
DTSTART:20250226T133000Z
DTEND:20250226T150000Z
UID:TALK225115@talks.cam.ac.uk
CONTACT:Julia Wolf
DESCRIPTION:A few years ago Shmerkin and Wu independently proved a 50-year
  old conjecture by Furstenberg about the dimension of intersection of cert
 ain self-similar ("Cantor-like") sets in the real line. Their methods\, ho
 wever\, apply only to the homogeneous case\, and the general case remains 
 open. I will discuss the connection of this problem to a related embedding
  problem (due to Feng\, Wang and Rao)\, and will outline recent work with 
 Algom and Wu in which we make some further progress on the problem. At the
  same time I will describe new results about the closely related problem o
 f alpha-beta-sets in the 1-torus.
LOCATION:MR4\, CMS
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