GeoMeG: Description




The general goal of the project is to study Lie groups equipped with arbitrary distance functions and to develop an adapted geometric measure theory in the non-Riemannian settings.

The main focus is subRiemannian geometry, together with implications to control systems and nilpotent groups. SubRiemannian spaces, and especially Carnot groups, appear in various areas of mathematics, such as control theory, harmonic and complex analysis, subelliptic PDE's and geometric group theory.

The members of the team master methods coming from geometric measure theory, geometric analysis, and group theory; in particular, analysis on metric spaces and Lie group theory.



| Grant Agreement | University of Jyvskäylä Press Release |

People


Principal Investigator

Enrico Le Donne

| Personal website |

Post-Docs

Thibaut Dumont
Francesca Tripaldi


Ph.D. Students

Fares Essebei
Eero Hakavuori
Ville Kivioja
Terhi Moisala




Scientific Collaborators and Experts in the Field

See list

Jyväskylä Geometry Seminar


The Jyväskylä Geometry seminar is on Mondays afternoons
in the Department of Mathematics and Statistics.
The meeting is usually from 14:15 to 16:00 in room MaD 380.

Please, check in advance the calendar below.

Winter 2018



 22/January/2018 Robust control of linear partial differential equations
       (MaD 380)
Lassi Paunonen (Tampere University of Technology)  

In this presentation we discuss recent develoments and open problems in the theory of robust output tracking and disturbance rejection for linear infinite-dimensional systems. The presented theory can in particular be used in designing robust error feedback controllers for linear partial differential equations. The controllers solving the robust output tracking problem are characterized by the fundamental "Internal Model Principle" first presented for finite-dimensional systems in the 1970's. As our main results we present a generalization of the Internal Model Principle for infinite-dimensional linear systems. Finally, we discuss different internal model based controller structures for selected classes of linear partial differential equations.



See all current Seminars | Analysis Seminar |

Past Seminars: 2017 | (older) |

Future Events



19th-23rd February 2018 | Jyväskylä (Finland)
Sub-Riemannian Geometry and Beyond
| Website |

  

 


Recent Papers



Soon preprints related to ERC GeoMeG will be available in this space.

 

Open Positions


Please, contact the PI if you are interested to do a Ph.D. or a postdoc
in the framework of GeoMeG ERC project.

New positions will be open in the next years.


Prof. Enrico Le Donne

 

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