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Algebraic Geometry Seminar - Alejandro Bravo-Doddoli

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

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.

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Seminar - Algebraic Geometry