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Sub-Riemannian Geometry

Lecturer: 
Course Type: 
PhD Course
Academic Year: 
2020-2021
Period: 
February
Duration: 
20 h
Description: 

In this course I will introduce the basic concepts in sub-Riemannian geometry and I will discuss basic properties of the Carnot-Caratheodory distance and of the geodesics. Then I will discuss how to write the heat equation and Schroedinger equations on such manifolds. For the Schroedinger equation, In the case of almost-Riemannian geometry, I will show how different quantization procedures give rise to completely different phenomena.

Location: 
Online

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