Geometry and analysis of groups and manifolds
timetable:
Mon 26 Jun, 15:00 - 15:30, Aula Dini
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Embeddings of Nilpotent groups into L1
speaker: Sebastiano Nicolussi Golo (Jyväskylän Yliopisto)abstract: We shall present the proof that virtually abelian groups are the only nilpotent Lie groups that quasi-isometrically embed in the Banach space L1 of integrable functions. From an asymptotic-cone argument we shall reduce to the case of bi-Lipschitz embeddings of Carnot groups. Cheeger and Kleiner proved that Heisenberg groups do not embed in L1 spaces: we shall extend their result to all non-abelian Carnot groups, by overcoming a difficulty due to the structure of finite-perimeter sets and their blowups. From a collaboration with S. Eriksson-Bique, C. Gartland, E. Le Donne and L. Naples.
timetable:
Mon 26 Jun, 15:00 - 15:30, Aula Dini
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