Critical points of the landscape function

Dr. Koushik Ramachandran ,TIFR-CAM

Speaker	Dr. Koushik Ramachandran ,TIFR-CAM
When	Oct 05, 2021 from 04:00 PM to 05:00 PM
Where	zoom meet
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Abstract: Let $\Omega\subset\mathbb{C}$ be a bounded domain. The localization landscape of $\Omega$ is a function $v$ which satisfies $\Delta v = - 2$ in $\Omega$ , with boundary data $v(z) =0,$ for $z\in\partial\Omega.$ In this talk, we will present an upper bound for the number of critical points of $v$ in various domains where we can make sense of some notion of "order" of the domain. We will talk about connections to eigenvalue problems and conclude the talk with some open problems. Based on joint work with Erik Lundberg.

Youtube link to the recording

Filed under: Colloquium

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: $Tata Institute of Fundamental Research Centre For Applicable Mathematics Bangalore, Karnataka, India.$ $Tata Institute of Fundamental Research Centre For Applicable Mathematics Bangalore, Karnataka, India.$