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SUMMARY:Besicovitch 1/2 Conjecture and Linear Programming
DTSTART:20240315T141500
DTSTAMP:20260406T185312Z
UID:6777db2f40b3b4c48adf8b9db8e1c6a91da5ac2bea82ba7c624b4ce0
CATEGORIES:Conferences - Seminars
DESCRIPTION:Dr. Federico Glaudo (IAS-Princeton)\nAbstract:\n\nIn 1928 Besi
 covitch formulated the following conjecture: if E is a Borel subset of the
  plane with finite length and its length is more than 1/2 of its diameter 
 in all sufficiently small disks centered at its points\, then E is rectifi
 able.\n\nThe value 1/2 cannot be lowered and Besicovitch himself showed th
 at the statement holds if 1/2 is replaced by 3/4. His bound was improved b
 y Preiss and Tiser in the nineties to ~0.732. \n\nIn this talk\, I will r
 eport on further progress stemming from a joint work with Camillo De Lelli
 s\, Annalisa Massaccesi\, and Davide Vittone. Besides improving substantia
 lly the bound of Preiss and Tiser\, our work uncovers a connection with a 
 class of linear programming problems.\n\n\n 
LOCATION:MA B1 11 https://plan.epfl.ch/?room==MA%20B1%2011
STATUS:CONFIRMED
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