Poincaré institute

Reinventing rational points

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Complexes of tori and rational points on homogeneous spaces over a function field

David Harari

We explain new arithmetic duality theorems for finite group schemes and 2-term complexes of tori defined over a global field of positive characteristic. We also apply these results to prove local global principles for homogeneous spaces of linear algebraic groups (joint work with Cyril Demarche).