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SUMMARY:Ao Sun
DTSTART:20210715T200000Z
DTEND:20210715T230000Z
DTSTAMP:20260418T131953Z
UID:2ndGAF/16
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/2ndGAF/16/">
 Uniqueness problem in geometric analysis and Lojasiewicz inequality</a>\nb
 y Ao Sun as part of The 2nd Geometric Analysis Festival\n\n\nAbstract\nLoj
 asiewicz inequality is an inequality in real algebraic geometry. It was fi
 rst discovered by Leon Simon that Lojasiewicz inequality can be used to pr
 ove uniqueness of critical points in the problem of calculus of variation.
  In these lectures I will first introduce the Lojasiewicz inequality\; the
 n I will discuss the infinite dimensional Lojasiewicz inequality proved by
  Leon Simon in the setting of calculus of variations\; then I will discuss
  some applications of Lojasiewicz inequality to prove the uniqueness of so
 me geometric object\; finally\, I will discuss joint work with Jonathan Zh
 u on proving Lojasiewicz inequality finding an explicit power of the Lojas
 iewicz inequality near special self-shrinkers of mean curvature flow.\n
LOCATION:https://researchseminars.org/talk/2ndGAF/16/
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