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SUMMARY:Spectral Inequalities and Quantitative Unique Continuation for Sch
 rödinger operators (a joint seminar with Spectral Geometry in the Clouds)
  - Eugenia Malinnikova (Stanford University)
DTSTART:20260119T160000Z
DTEND:20260119T170000Z
UID:TALK241693@talks.cam.ac.uk
DESCRIPTION:This seminar is a &ldquo\;joint seminar with Spectral Geometry
  in the Clouds &nbsp\;https://spectralclouds.github.io/\n&nbsp\;\nSpectral
  Inequalities and Quantitative Unique Continuation for Schr&ouml\;dinger o
 perators\nSpectral inequalities quantify how strongly a linear combination
  of low-energy eigenfunctions can concentrate away from a prescribed obser
 vation set. In Fourier analysis \,the classical counterpart is the Logvine
 nko-Sereda theorem\, where thickness of the observation set is a natural g
 eometric condition. I will discuss spectral inequalities for confining one
 -dimensional Schr&ouml\;dinger operators with rough potentials\, and some 
 analytic tools behind them. I will also highlight open problems\, includin
 g sharpness of the geometric hypothesis and extensions to high-dimensional
 . The talk is based on a joint work with Jiuyi Zhu.\n&nbsp\;\n&nbsp\;\n&nb
 sp\;\n&nbsp\;\n&nbsp\;
LOCATION:Seminar Room 2\, Newton Institute
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