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SUMMARY:An almost-almost-Schur lemma: Yamabe-type inequalities in quantita
 tive form. [Oberseminar Analysis]
DTSTART:20251121T141500Z
DTEND:20251121T151500Z
DTSTAMP:20260314T223500Z
UID:indico-event-937@math-events.uni-bonn.de
CONTACT:zemas@iam.uni-bonn.de
DESCRIPTION:Speakers: Jonas Peteranderl (LMU Munich)\n\nIn case a sharp fu
 nctional inequality admits optimizers\, we are interested in improving the
  inequality by adding terms that involve a distance to the set of optimize
 rs. Such refinements are known as (quantitative) stability results. In thi
 s talk\, I first provide a short introduction to the topic of stability of
  functional inequalities. Following this\, I present the σ2\n-curvature i
 nequality\, a variational characterization of a fully nonlinear Yamabe-typ
 e equation\, and explain how stability of this inequality can be establish
 ed. As we will see\, in contrast to previous Hilbert-space results\, the d
 istance to the set of optimizers is measured naturally in terms of two dif
 ferent Sobolev norms\, for which optimal exponents are provided. Finally\,
  I describe how the presented methods can be applied to improve an inequal
 ity by De Lellis and Topping\, which in turn is a refinement of a well-kno
 wn rigidity result by Schur. The talk is based on two joint works with Rup
 ert Frank and Tobias König\, respectively.\n\nhttps://math-events.uni-bon
 n.de/event/937/
LOCATION:Mathezentrum
URL:https://math-events.uni-bonn.de/event/937/
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