Differential forms in Heisenberg groups and div-curl systems

Differential forms in Heisenberg groups and div-curl systems

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Bruno Franchi , Universita di Bologna
Fine Hall 314

In this talk we present a result proved in collaboration with Annalisa Baldi. We prove a family of inequalities for differential forms in Heisenberg groups (Rumin’s complex), that are the natural counterpart of a class of div-curl inequalities in de Rham’s  complex proved by Lanzani & Stein, Bourgain & Brezis.