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UID:20260514T072458EDT-8796ssvVsl@132.216.98.100
DTSTAMP:20260514T112458Z
DESCRIPTION:Title: Symmetry-breaking in geometric capacitor problems.\n\nAb
 stract: How does the shape of a body determine its capacity? Classical res
 ults say that balls _minimize_ the Newton capacity among bodies of given v
 olume\, but _maximize_ it among bodies of given diameter. While  the lower
  bound on capacity in  terms of volume is a cornerstone  of potential theo
 ry\,  the upper bound in terms of diameter (proved by Szego in 1930) was l
 argely relegated to a footnote. Recently isodiametric shape optimization f
 or Riesz capacities has become interesting in the context of aggregation p
 roblems with pair interactions  of attractive-repulsive type. In this talk
  I will discuss situations where the capacity-maximizer is not a ball. Whe
 n does symmetry-breaking occur\, and what are good candidates for non-radi
 al maximizers?\n\nLocation: Hybride - CRM\, Salle / Room 6214\, Pavillon A
 ndré Aisenstadt\n
DTSTART:20260508T193000Z
DTEND:20260508T203000Z
SUMMARY:Almut Burchard (University of Toronto)
URL:https://www.mcgill.ca/mathstat/channels/event/almut-burchard-university
 -toronto-372803
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