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SUMMARY:Aleksandr Logunov (Princeton)
DTSTART:20200527T131500Z
DTEND:20200527T141500Z
DTSTAMP:20260404T110653Z
UID:MathstatHelsinkiColloquium/1
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Maths
 tatHelsinkiColloquium/1/">Nodal sets and Quasiconformal mappings</a>\nby A
 leksandr Logunov (Princeton) as part of Mathstat Helsinki Colloquium\n\n\n
 Abstract\nA while ago Nadirashvili proposed a beautiful idea how to attack
  problems on zero sets of Laplace eigenfunctions using quasiconformal mapp
 ings\, aiming to estimate the length of nodal sets (zero sets of eigenfunc
 tions) on closed two-dimensional surfaces. The idea have not yet worked ou
 t as it was planned. However\, it appears to be useful for Landis' Conject
 ure. We will explain how to apply the\ncombination of quasiconformal mappi
 ngs and zero sets to quantitative properties of solutions to $\\Delta u + 
 V u =0$ on the plane\, where $V$ is a real\, bounded function. The method 
 reduces some questions about solutions to $\\Delta u + V u =0$ on the plan
 e to questions about harmonic functions.\n\nBased on a joint work with E. 
 Malinnikova\, N. Nadirashvili and F. Nazarov.\n
LOCATION:https://stable.researchseminars.org/talk/MathstatHelsinkiColloqui
 um/1/
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