AbstractI will report on some recent developments in the theory of p-adic differential equations. The talk will be an invitation to the theory and I'll try to maintain it accessible to a large audience.SpeakerResearch Interests:☑ Arithmetic Geometry☑ p-Adic Cohomologies - Rigid Cohomology - de Rham Cohomology☑ p-Adic Differential Equations on Berkovich Spaces☑ p-Adic Analysis - p-adic local...
Abstract In this talk, I will discuss several new results on non-concentration of Neumann eigenfunctions in shrinking neighborhoods of planar domains. The main result is a sharp estimate in a neighborhood of a corner point, but I will also discuss some other results in smoother situations. The main tools are a Rellich commutator argument and an induction argument to control boundary error terms...
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