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SUMMARY:Stability of the Poincaré-Korn inequality - Prof Thomas Courtade\
 , UC Berkeley
DTSTART:20240508T130000Z
DTEND:20240508T140000Z
UID:TALK215296@talks.cam.ac.uk
CONTACT:Dr Varun Jog
DESCRIPTION:Inspired by the classical Poincaré and Korn inequalities in a
 nalysis\, the "Poincaré-Korn" inequalities were introduced in 2020 by Car
 rapatoso et al.  In that paper\, the authors conjectured that among a suit
 able class of reference measures\, the standard Gaussian measure uniquely 
 achieves the smallest sharp constant in the Poincaré-Korn inequality.  In
  this talk\, I'll establish a quantitative stability result for the Poinca
 ré-Korn inequalities\, affirmatively resolving the question by Carrapatos
 o et al.  The argument involves a combination of Stein's method and variat
 ional techniques.  Time permitting\, I'll also mention recent work on stab
 ility of Klartag's improved Lichnerowicz bound\, which is one of the main 
 ingredients behind current best-progress on the KLS conjecture.  Everythin
 g is joint work with Max Fathi.
LOCATION:MR5\, CMS Pavilion A
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