3 papers
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.NT2024
Relative Lie algebra cohomology of SU(2,1) and Eisenstein classes on Picard surfaces
Jitendra Bajpai, Mattia Cavicchi
We consider Picard surfaces, locally symmetric varieties attached to the Lie group SU(2,1), and we construct explicit differential forms on representing Eisenstein clas…
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…