Séminaire Analyse
organisé par l'équipe Analyse
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Raphaël Côte
Perturbation à l'explosion des solutions autosimilaires de l'équation de Korteweg-de Vries modifiée
1 juin 2023 - 11:00Salle de séminaires IRMA
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Jacob Shapiro
Classification of strongly-disordered topological insulators
8 juin 2023 - 11:00Salle de conférences IRMA
In this talk I will describe some of the mathematical aspects of strongly-disordered topological insulators. These are novel materials which insulate in their bulk but (may) conduct along their edge; the quintessential example is that of the integer quantum Hall effect. What characterizes these materials is the existence of a topological index, experimentally measurable and macroscopically quantized. Mathematically this is explained by applying algebraic topology to the space of appropriate quantum mechanical Hamiltonians. I will survey some recent results mainly concentrating on the classification problem in one dimension.