Seminario del 2022

Ottobre
14
2022
Nicola Arcozzi
Geometric tools in function theory (and the Heisenberg group) II
nell'ambito della serie: COMPLEX ANALYSIS LAB
analisi matematica
In this second (expository) seminar we see that the unit ball in several complex variables carries a Riemannian metric which is invariant under automorphisms. Its restrictions to horocycles converge, after rescaling, to a sub-Riemannian metric on the boundary, which has a natural Lie group (Heisenberg) structure. These same metrics also arise from the study of the Drury-Arveson space on the unit ball (a Hilbert space modelling contractive tuples of communitng operators on Hilbert spaces), as well as from problems in control theory.
organizzato da: CAL

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