BEGIN:VCALENDAR
VERSION:2.0
PRODID:icalendar-ruby
CALSCALE:GREGORIAN
X-WR-CALNAME:Analysis Seminar - Symmetrization in Isoperimetric Inequalitie
 s and Related Problems
X-WR-TIMEZONE:Central Time (US & Canada)
BEGIN:VEVENT
DTSTAMP:20260911T233433Z
UID:tag:localist.com\,2008:EventInstance_52496809892035
DTSTART:20260402T210000Z
DTEND:20260402T220000Z
DESCRIPTION:Abstract\n\nSince its invention by Jacob Steiner in 1838\, symm
 etrization method had found numerous applications in mathematics and its a
 pplications. As well known\, Steiner introduced his symmetrization when se
 arching for a geometric tool to solve the classical isoperimetric problem 
 on the maximal area for planar regions with fixed perimeter. After Steiner
 \, many outstanding mathematicians\, including George Po´lya\, Gabor Szeg
 o¨\, James Jenkins\, Igor Mityuk\, Al Baernstein II\, Vladimir Dubinin\, 
 introduced new symmetrizing procedures\, each time targeting some unsolved
  extremal problem.\n\nIn the first part of this talk\, I will introduce so
 me of these transformations and discuss their applications to extremal pro
 blems in Complex Analysis and Potential Theory\, which motivated the inven
 tion of these transformations. Then I will discuss my recent results on ca
 pacities and distribution of heat in systems of n balls\, on the problem o
 f distribution of heat on long pipes heated along some surface areas\, and
  on the problem on the “squeezing function” that has application to sp
 aces of analytic functions of one and several complex variables. My soluti
 on of each of these problems uses certain geometric symmetrization-type tr
 ansformation. A few remaining open and challenging extremal problems\, whi
 ch may require new symmetrization-type transformations will be also discus
 sed.
LOCATION:Hume Hall\, 331
SUMMARY:Analysis Seminar - Symmetrization in Isoperimetric Inequalities and
  Related Problems
URL;VALUE=URI:https://eventcalendar.olemiss.edu/event/analysis-seminar-symm
 etrization-in-isoperimetric-inequalities-and-related-problems
CATEGORIES:Lectures
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