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 |


Principal Investigator

Enrico Le Donne

| Personal website |


Thibaut Dumont
Matthew Romney
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

 19/March/2018 On the Entropy of Hilbert Geometries of Low regularities
       (MaD 380)
Louis Merlin (Universite du Luxembourg)  

The volume entropy of a metric measure space is the exponential growth rate of volumes of balls. A recent result of N. Tholozan shows that, in the context of Hilbert geometries, entropy can never exceed the hyperbolic entropy (n-1 in dimension n). This result is absolutely not rigid and in fact, maximal entropy is achieved as soon as the boundary is sufficiently regular. This leads to the general question on the relation between the regularity of the convex set and the value of the volume entropy. The aim of this talk is to present two results which state that the relation does exist. This is a joint work with J. Cristina. In a first part of the talk, I'll carefully explain what are Hilbert geometries and try to give a feeling on the behavior of volume entropy in those spaces.

See all current Seminars | Analysis Seminar |

Past Seminars: 2017 | (older) |

Future Events

Past Events
February/2018 On the Entropy of Hilbert Geometries of Low regularities


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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