Spectral Inequalities and Quantitative Unique Continuation for Schrödinger operators (a joint seminar with Spectral Geometry in the Clouds)

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• Eugenia Malinnikova (Stanford University)
• Monday 19 January 2026, 16:00-17:00
• Seminar Room 2, Newton Institute.

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GST - Geometric spectral theory and applications

This seminar is a “joint seminar with Spectral Geometry in the Clouds  https://spectralclouds.github.io/   Spectral Inequalities and Quantitative Unique Continuation for Schrödinger operators Spectral inequalities quantify how strongly a linear combination of low-energy eigenfunctions can concentrate away from a prescribed observation set. In Fourier analysis ,the classical counterpart is the Logvinenko-Sereda theorem, where thickness of the observation set is a natural geometric condition. I will discuss spectral inequalities for confining one-dimensional Schrödinger operators with rough potentials, and some analytic tools behind them. I will also highlight open problems, including sharpness of the geometric hypothesis and extensions to high-dimensional. The talk is based on a joint work with Jiuyi Zhu.          

This talk is part of the Isaac Newton Institute Seminar Series series.

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