SubRiemannian manifolds are metric spaces that model systems with nonholonomic 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 subRiemannian 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.
You are here
Interpolation inequalities in subRiemannian geometry: an overview
Luca Rizzi
Institution:
CNRS
Schedule:
Tuesday, October 20, 2020  15:00
Location:
A005
Location:
Zoom (sign in to get the link)
Abstract:
Openings
 Public Calls for Professors
 Temporary Professors/Researchers/Visiting Professors
 SISSA Mathematical Fellowships
 PostLauream Fellowships
 Research Training Fellowships
 Marie SklodowskaCurie Grants
 Open positions in MathLab
 Post Doctoral Fellowships
 PhD Scolarships
 SIS Fellowships
 Undergraduate Fellowships
 Postgraduate Fellowships
 MSc in Mathematics
 MSc in Data Science and Scientific Computing (DSSC)
 Professional Master Courses
 SISSA Mathematics Medals
Upcoming events

Chiara Rigoni
Convergence of metric measure spaces satisfying the CD condition for negative values of the dimensional parameter
Tuesday, May 18, 2021  14:00

Neil O' Connell
MATHEMATICAL COLLOQUIUM: From longest increasing subsequences to Whittaker functions and random polymers
Tuesday, May 18, 2021  16:00 to 17:00

Gennady El
Riemann problem for the BenjaminBonaMahony equation
Wednesday, May 19, 2021  16:00 to 17:00

Felipe Lopez Reyes
Cossa xe... a Frobenius manifold?
Friday, May 21, 2021  11:00
Today's Lectures

11:00 to 13:00
Recent publications

G.P. Leonardi; G. Saracco,Rigidity and trace properties...

G. Saracco,A sufficient criterion to dete...

D. Agostinelli; A. DeSimone; G. Noselli,Nutations in plant shoots: End...

D. Agostinelli; G. Noselli; A. DeSimone,Nutations in growing plant sho...