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math.AG2024
The motivic Hecke algebra for PEL Shimura varieties
Mattia Cavicchi
We construct a motivic lift of the action of the Hecke algebra on the cohomology of PEL Shimura varieties . To do so, when is associated with a reductive algebraic group…
math.AG2018
On the boundary and intersection motives of genus 2 Hilbert-Siegel varieties
Mattia Cavicchi
We study genus 2 Hilbert-Siegel varieties, i.e. Shimura varieties corresponding to the group $\mbox{GSp}_{4,F}$ over a totally real field , along with the relative Chow mo…