On 10 and 11 December 2025, for the cycle “Crossings - Math Seminars”, Eugenia Malinnikova (Stanford University) will give the following talks:
#1
Math Forum: Landis Conjecture in dimension 2: introduction
Abstract: We will discuss bounded solutions to the Schrodinger equation with bounded potential. It was conjectured by Landis in 1960s that such solutions cannot decay faster than exponentially. In the 1990s, Meshkov constructed a counterexample for the case of complex valued potential. We will survey the history of the problem and describe a recent work with Logunov, Nazarov, and Nadirashvili, which proves the original Landis conjecture in dimension two for the case of real-valued potentials.
Date and time: Wednesday 10 December, at 4 pm
Place: Room U6-29 (U6 Building - Piazza dell'Ateneo Nuovo 1, Milano - University of Milano-Bicocca)
An aperitif will follow
#2
Technical Seminar: Landis Conjecture in dimension 2: technical details
Abstract: In this second lecture, we will provide the details of the construction in the resolution of the Landis conjecture in dimension two. Specifically, we will explain how the quasiconformal mappings are used to reduce the problem to one concerning harmonic functions and present a solution to that reformulated problem.
Date and time: Thursday 11 December, at 3:45 pm
Place: Room U7-04 (U7 Building - Via Bicocca degli Arcimboldi 8, Milano - University of Milano-Bicocca)
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