Talks

Algebraic Curves and Grassmannians via the KP Hierarchy

Algebraic curves are fundamental objects in the mathematical sciences. Integrable systems, particularly the Kadomtsev-Petviashvili hierarchy, provide an example of such phenomena and reaffirm the significance of Grassmannians. In this talk, we will examine the connections between algebraic curves and Grassmannians guided by the hierarchy. We will explore these connections within transcendental, real, and combinatorial algebraic geometry from a computational perspective. We will conclude by touching upon potential applications of this geometry in biology.

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Low-energy excitations in glasses: Universal statistics, localization and the boson peak

Glassy systems exhibit various universal anomalies compared to their crystalline counterparts, manifested in their vibrational, thermodynamic, transport and strongly dissipative properties. At the heart of understanding these phenomena resides the need to quantify glassy disorder, which is self-generated during the non-equilibrium glass formation process, and to identify the emerging elementary excitations. In this talk, I will review recent progress made in relation to this basic problem. Using a combination of theory, computer simulations and experimental data, I will elucidate the statistical and micro-mechanical nature and properties of low-frequency glassy (non-phononic) excitations, including their universal statistics, spatial localization, non-equilibrium history dependence, relations to spatially extended phonons and the emergence of a boson peak.

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IMPRS

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IMPRS Seminar

IMPRS Seminar

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