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The Plectic Weight Filtration on Cohomology of Shimura Varieties and Partial Frobenius 10.17863/CAM.48566 Wu, Zhiyou Scholl, Anthony We prove that there is a natural plectic weight filtration on the cohomology of Hilbert modular varieties in the spirit of Nekov\'a\v r and Scholl. This is achieved with the help of Morel's work on weight t-structures and a detailed study of partial Frobenius. We prove in particular that the partial Frobenius extends to toroidal and minimal compactifications. University of Cambridge 2020-06-20 Thesis Doctoral Doctor of Philosophy (PhD) en https://www.repository.cam.ac.uk/handle/1810/301493 https://apollo8-f-pro.lib.cam.ac.uk/bitstreams/c00892fb-ae0c-428d-b4f5-f23e3ac43ae9/download 6bf4999e92720de0c073242e7cc93cd2 https://apollo8-f-pro.lib.cam.ac.uk/bitstreams/5535acc8-0ad2-46cc-8cd1-c892429e0be2/download 87eda9de84448d1f82354d60eee3eb5f https://www.rioxx.net/licenses/all-rights-reserved/ Shimura varieties Hodge theory number theory