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Mercoledì 28 gennaio alle ore 14:00, nell'ambito dei Junior Seminars dei dottorandi di Matematica, Lorenzo D'arca (Sapienza) terrà il seminario dal titolo "Functional Inequalities in Euclidean and Non-Euclidean Settings".
Abstract: This seminar presents an overview of Hardy type inequalities and their role in analysis and geometry. After recalling the classical Euclidean Hardy inequality and its connection with the uncertainty principle, we briefly outline the main ideas underlying its proof. We then discuss why Hardy type inequalities become more delicate in non-Euclidean and degenerate frameworks, focusing on the Heisenberg group as a prototypical example. Particular attention is given to the role of geometric features such as degeneracy and anisotropy. We conclude by describing a unified approach that extends Hardy type inequalities to more general geometric contexts and to L^p settings.
Il seminario organizzato dai dottorandi di Matematica e si svolgerà in presenza presso il Dipartimento di Matematica e Fisica, via della Vasca Navale 84, aula B.
