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## Applied mathematics

Part of the workgroup: Problem 1: Solidification and mechanical coupling in microfracture propagation. Part of the workgroup: Problem 2: Improving the efficiency of a retort furnace.

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Part of the workgroup: Problem 3: Order reduction in dynamic systems using machine learning. Part of the workgroup: Problem 4: Predictive maintenance in a pellet production factory.

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Part of the workgroup: Problem 5: Equivalent thermo-mechanical modelling of the ceramic cup of a Blast Furnace. Presentation of the conclusions of the first problem: Solidification and mechanical coupling in microfracture propagation Presentation of the conclusions of the second problem: Improving the efficiency of a retort furnace. Presentation of the conclusions of the third problem: Order reduction in dynamic systems using machine learning.

Presentation of the conclusions of the fourth problem: Predictive maintenance in a pellet production factory. David A.

Lawrence, University of Montana: Cell type-specific cholinergic modulation in the hippocampus: roles in normal and disease states Tim Lewis, University of California - Davis: The theory of weakly coupled oscillators: Can it be used to gain insight into the mechanisms underlying epileptic activity? Caraiani, Harvard University: Weight spectral sequences and monodromy M.

## Mathematician:Avner Friedman - ProofWiki

Gee, Imperial College: p-adic Hodge-theoretic properties of etale cohomology with mod p coefficients, and the cohomology of Shimura varieties B. Iovita, Concordia University: Overconvergent modular sheaves and p-adic families of Hilbert modular forms M. Scholze, Universitat Bonn: On the cohomology of compact unitary group Shimura varieties at ramified split places P. Elizabeth's Med.

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