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SUMMARY: Sharp stability for the Brunn-Minkowski inequality for arbitrary 
 sets - Marius Tiba (Oxford)
DTSTART:20230601T133000Z
DTEND:20230601T143000Z
UID:TALK201919@talks.cam.ac.uk
CONTACT:103978
DESCRIPTION:The Brunn-Minkowski inequality states that for (open) sets A a
 nd\nB in R^d\, we have |A+B|^{1/d} \\geq |A|^{1/d}+|B|^{1/d}. Equality hol
 ds if\nand only if A and B are convex and homothetic sets in R^d. In this 
 talk\, we\npresent a sharp stability result for the Brunn-Minkowski inequa
 lity for\narbitrary sets A and B\, thus concluding a long line of research
  on this\nfolklore problem. This is joint work with Alessio Figalli and Pe
 ter van\nHintum.
LOCATION:MR11
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