Sissa Mathematical Colloquium -- reminder

Antonio Lerario lerario at
Mon Oct 19 16:54:46 CEST 2020

Dear All,

this is to remind next SISSA mathematical colloquium, scheduled for

Speaker: Luca Rizzi (CNRS)
Title: Interpolation inequalities in sub-Riemannian geometry: an overview
When: Tuesday, October 20, at 3pm
Where: SISSA main building, room A-005 (max 25 people inside) and on zoom
at this link:

Abstract: Sub-Riemannian manifolds are metric spaces that model systems
with non-holonomic constraints, and constitute a vast generalization of
Riemannian geometry. They arise in several areas of mathematics, including
control theory, subelliptic PDEs, harmonic and complex analysis, geometric
measure theory and calculus of variations. In the last 10 years, a surge of
interest in the study of geometric and functional inequalities on
sub-Riemannian spaces revealed unexpected behaviours and intriguing
phenomena that failed to fit into the classical schemes inspired by
Riemannian geometry. In this talk I will review some recent developments on
the subject, focusing on the topic of interpolation inequalities for
optimal transport and comparison geometry of these structures.

Luca Rizzi is Chargé de recherche CNRS at the Institut Fourier, in
Grenoble. After completing his PhD at SISSA, he was a postdoctoral fellow
in Paris at the École Polytechnique. He works on sub-riemannian geometry,
spectral geometry and control theory. He was recently awarded an ERC
Starting Grant on the topic of geometric inequalities on sub-riemannian

Everyone is welcome!

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