BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Serhii Myroshnychenko (University of the Fraser Valley)
DTSTART:20261013T223000Z
DTEND:20261013T233000Z
DTSTAMP:20261006T044748Z
UID:SFUOR/76
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SFUOR/76/">W
 here Does the Centroid Go? Balancing Shadows and Slices of Convex Bodies</
 a>\nby Serhii Myroshnychenko (University of the Fraser Valley) as part of 
 PIMS-CORDS SFU Operations Research Seminar\n\nLecture held in ASB 10908.\n
 \nAbstract\nThe centroid is a fundamental notion of center: it represents 
 the center of mass in mechanics\, the mean in probability and statistics\,
  and a basic descriptor in data analysis and imaging. This talk asks what 
 happens to the centroid when a high-dimensional convex body is viewed thro
 ugh a lower-dimensional slice or shadow. Surprisingly\, neither operation 
 generally preserves it.\nWe present three sharp results. Sections through 
 the centroid satisfy an optimal bound on their imbalance\; the projection 
 of a centroid and the centroid of the projection differ by at most about 2
 0.2% of the relevant width\; and\, in sufficiently high dimensions\, a bod
 y may have only one central hyperplane section sharing its centroid. The e
 mphasis will be on the geometric ideas behind these results\, including fi
 rst moments\, concavity\, symmetrization\, and spherical transforms.\n
LOCATION:https://researchseminars.org/talk/SFUOR/76/
END:VEVENT
END:VCALENDAR