Subriemannian geometry and beyond,II
Main funder
Funds granted by main funder (€)
- 5 000,00
Funding program
Project timetable
Project start date: 11/02/2019
Project end date: 22/02/2019
Summary
This conference is the second of 5 meetings organized within the ERC projectGeoMeG. It
will bring together international researchers working in various areas of mathematics with connections to subriemannian geometry. Subriemannian geometries arise in many areas of pure and applied mathematics (such as algebra, geometry, analysis, mechanics,control theory, mathematical physics, theoretical computerscience), as well as in applications(e.g.,robotics,vision).
Due to these many connections, subriemannian geometry is a very active area, full of theoretical and concrete unsolved problems.We plan to gather experts in analysis on metric spaces, geometric group theory, Lie group theory,complex geometry, and optimal control.We expect to create an appropriate atmosphere for interaction.
One objective of this conference is to focus on a certain special class of well-studied subrie- mannian manifolds, namely Lie groups equipped with a subriemannian distance and especially nilpotent Lie groups, such as Carnot groups. These form a very rich class of manifolds, whose fine geometry is still rather poorly understood and the subject of much research in the last decades. Beyond the subriemannian setting, nowadays the subfinsler case is considered very interesting as it has connections with geometric group theory via the study of Cayley graphs and asymptotic cones.
Jyvaskyla is an ideal place to host this meeting, because the organizer (Enrico Le Donne) with his most recent collaborations has established a bridge between several mathematical communities:
* Researchers in Analysis on Metric Spaces
* Researchers in Geometric Group Theory
* Researchers in Geometric Control Theory
The researchers invited at this second meeting come from all over the EU, the USA, and Russia.
We believe that the international community, as well as the scientific community in Jyväskylä, will benefit from the topics discussed in this meeting. The meeting is open to all interested people. In fact, we aim to provide initial mini-courses in order to present the background and the state-of-art. In particular, we expect about 15-20 applications from Ph.D. students and young researchers interested to attend the event.
will bring together international researchers working in various areas of mathematics with connections to subriemannian geometry. Subriemannian geometries arise in many areas of pure and applied mathematics (such as algebra, geometry, analysis, mechanics,control theory, mathematical physics, theoretical computerscience), as well as in applications(e.g.,robotics,vision).
Due to these many connections, subriemannian geometry is a very active area, full of theoretical and concrete unsolved problems.We plan to gather experts in analysis on metric spaces, geometric group theory, Lie group theory,complex geometry, and optimal control.We expect to create an appropriate atmosphere for interaction.
One objective of this conference is to focus on a certain special class of well-studied subrie- mannian manifolds, namely Lie groups equipped with a subriemannian distance and especially nilpotent Lie groups, such as Carnot groups. These form a very rich class of manifolds, whose fine geometry is still rather poorly understood and the subject of much research in the last decades. Beyond the subriemannian setting, nowadays the subfinsler case is considered very interesting as it has connections with geometric group theory via the study of Cayley graphs and asymptotic cones.
Jyvaskyla is an ideal place to host this meeting, because the organizer (Enrico Le Donne) with his most recent collaborations has established a bridge between several mathematical communities:
* Researchers in Analysis on Metric Spaces
* Researchers in Geometric Group Theory
* Researchers in Geometric Control Theory
The researchers invited at this second meeting come from all over the EU, the USA, and Russia.
We believe that the international community, as well as the scientific community in Jyväskylä, will benefit from the topics discussed in this meeting. The meeting is open to all interested people. In fact, we aim to provide initial mini-courses in order to present the background and the state-of-art. In particular, we expect about 15-20 applications from Ph.D. students and young researchers interested to attend the event.
