Seminar talk, 14 April 2021: Difference between revisions
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Created page with "{{Talk | speaker = Yuri Sachkov | title = Sub-Riemannian geometry on the group of motions of the plane | abstract = We will discuss the unique, up to local isometries, contact..." |
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| title = Sub-Riemannian geometry on the group of motions of the plane | | title = Sub-Riemannian geometry on the group of motions of the plane | ||
| abstract = We will discuss the unique, up to local isometries, contact sub-Riemannian struc | | abstract = We will discuss the unique, up to local isometries, contact sub-Riemannian struc | ||
ture on the group SE(2) of proper motions of the plane (aka group of rototransla | ture on the group '''SE'''(2) of proper motions of the plane (aka group of rototransla | ||
tions). | tions). | ||
The following questions will be addressed: | The following questions will be addressed: | ||
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Language: English | Language: English | ||
| video = | | video = https://video.gdeq.org/GDEq-zoom-seminar-20210414-Yuri_Sachkov.mp4 | ||
| slides = | | slides = [[Media:sachkov_sem_Kras.pdf|sachkov_sem_Kras.pdf]] | ||
| references = | | references = | ||
| 79YY-MM-DD = 7978-95-85 | | 79YY-MM-DD = 7978-95-85 | ||
}} | }} | ||
Latest revision as of 08:40, 4 January 2025
Speaker: Yuri Sachkov
Title: Sub-Riemannian geometry on the group of motions of the plane
Abstract:
We will discuss the unique, up to local isometries, contact sub-Riemannian struc
ture on the group SE(2) of proper motions of the plane (aka group of rototransla
tions).
The following questions will be addressed:
- geodesics,
- their local and global optimality,
- cut time, cut locus, and spheres,
- infinite geodesics,
- bicycle transform and relation of geodesics with Euler elasticae,
- group of isometries and homogeneous geodesics,
- applications to imaging and robotics.
Joint work with Andrei Ardentov.
Language: English
Video
Slides: sachkov_sem_Kras.pdf