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SUMMARY:The quantitative isoperimetric inequality: A calibration argument 
 [Oberseminar Analysis]
DTSTART:20260304T131500Z
DTEND:20260304T150000Z
DTSTAMP:20260417T222800Z
UID:indico-event-1166@math-events.uni-bonn.de
DESCRIPTION:Abstract: I discuss a novel argument to derive a quantitative 
 form of  the classical isoperimetric inequality\, which in particular imp
 lies all previously known versions. The argument is based solely upon a n
 otion of "quantitative calibrations" from which one may define a coercive
  relative energy\, penalizing the difference between two  interfaces in a
 \, e.g.\, tilt-excess type way. I give some insights how this allows to p
 rove the following local result: Let $F \\subset \\mathbb{R}^d$ a set of f
 inite perimeter with same barycenter and volume as the unit ball $B_1(0)$
 \, then one can bound from below the energy gap $Per(F) - Per(B_1(0))$ by 
 the associated relative energy (to be defined in the talk) provided this 
 relative energy is sufficiently small. Based on this local version\, we th
 en deduce by a simple compactness argument a corresponding result for arb
 itrary admissible competitors. This is joint work with Tim Laux.\n\nhttps:
 //math-events.uni-bonn.de/event/1166/
LOCATION:Endenicher Allee 60/1-016 - Lipschitzsaal (Mathezentrum)
URL:https://math-events.uni-bonn.de/event/1166/
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