Algebraic Geometry Seminar - Alejandro Bravo-Doddoli

Ale
January 28, 2025
10:20AM - 11:15AM
Math Tower (MW) 154

Date Range
2025-01-28 10:20:00 2025-01-28 11:15:00 Algebraic Geometry Seminar - Alejandro Bravo-Doddoli Alejandro Bravo-DoddoliUniversity of MichiganTitleMetric lines in the jet spaceAbstractIn the framework of sub-Riemannian Manifolds, a relevant question is: what are the metric lines (isometric embedding of the real line)?The space of k-jets of a real function of one real variable $x$ admits the structure of a Carnot group. Every Carnot group is a sub-Riemannian manifold, and so is the k-jets. This talk aims to present a partial result about classifying the metric lines within the k-jets and introduce the sequence method, a new approach to the problem.For More Information About the Seminar  Math Tower (MW) 154 America/New_York public

Alejandro Bravo-Doddoli
University of Michigan

Title
Metric lines in the jet space

Abstract
In the framework of sub-Riemannian Manifolds, a relevant question is: what are the metric lines (isometric embedding of the real line)?
The space of k-jets of a real function of one real variable $x$ admits the structure of a Carnot group. Every Carnot group is a sub-Riemannian manifold, and so is the k-jets. This talk aims to present a partial result about classifying the metric lines within the k-jets and introduce the sequence method, a new approach to the problem.

For More Information About the Seminar
 

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