Seminario del 2018

Gennaio
24
2018
Pierre Pansu
Poincaré inequalities for differential forms on Heisenberg groups
analisi matematica
Every closed differential form \omega on a Euclidean ball has a primitive whose L^q norm is bounded by the L^p norm of \omega (for suitable exponents p and q). We prove an analogous result for Rumin's exterior differential on Heisenberg balls. This is used to prove vanishing of \ell^{q,p}-cohomology of Heisenberg groups. Extension to other Carnot groups will be discussed.
organizzato da: Comitato scientifico: Giovanna Citti, Fausto Ferrari, Bruno Franchi. Comitato organizzatore: Emre Baspinar, Francesca Colasuonno, Eugenio Vecchi
nell'ambito del Progetto ECOICITTI del prof. Giovanna Citti

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