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  • Funder: French National Research Agency (ANR) Project Code: ANR-10-CAMP-0502-01
    Funder Contribution: 3,425,520 EUR
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  • Funder: French National Research Agency (ANR) Project Code: ANR-20-CE40-0010
    Funder Contribution: 45,684 EUR

    Arithmetic groups, and more generally groups of matrices with integral entries are an object of interest in geometric group theory, number theory and differential geometry and manifold topology. Our project integrates all these aspects. A central theme is the relation of the geometric structures associated to these groups via locally symmetric spaces, to their topology.

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  • Funder: French National Research Agency (ANR) Project Code: ANR-10-CAMP-0044
    Funder Contribution: 1,045,480 EUR
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  • Funder: French National Research Agency (ANR) Project Code: ANR-15-NEUC-0005
    Funder Contribution: 148,198 EUR
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  • Funder: French National Research Agency (ANR) Project Code: ANR-20-CE09-0015
    Funder Contribution: 196,560 EUR

    Nano-objects (nanoparticles, nanowires or thin films) exhibit particularly exciting mechanical properties that strongly depend on their surface morphology (e.g., surface step, roughness) and chemical state (e.g., oxidation, hydroxylation). The aim of SASHA is the development and application of an original modeling methodology that will better account for surface architecture when probing mechanical and other physical properties of nano-objects. Nano-objects will be designed with more realistic shapes, closer to experimental observations, including surface roughness and chemical state. These surface modifications, supposed to strongly affect the observed deformation processes and mechanical responses, might significantly influence our understanding of nano-mechanics. Modeling predictions will be completed by in situ environmental TEM and Bragg coherent diffraction imaging experiments.

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