AstonishingASsociate Team On NonISH euclIdeaN Geometry 
Principal investigators  
(Vegas, then)
Gamble common projectteam
INRIA Nancy  Grand Est, LORIA  Coordinator: Monique Teillaud 
Johann Bernouilli Institute of Mathematics and Computer Science
University of Groningen  Coordinator: Gert Vegter  
Other participating sites  
Mathematics Research Unit
University of Luxembourg  Coordinator: JeanMarc Schlenker 
Laboratoire d'Informatique Gaspard Monge
MarnelaVallée  Coordinator: Éric Colin de Verdière 
We aim at studying various structures and algorithms in other spaces than R^{d}, from a computational geometry viewpoint. Proposing algorithms operating in such spaces requires a prior deep study of the mathematical properties of the objects considered, which raises new fundamental and difficult questions that we want to tackle.
Methodology.
A key characteristic of the project is its
interdisciplinarity: it gathers approaches, knowledge, and tools in
mathematics and computer science.
A mathematical study of the considered objects will be
performed, together with the design of algorithms when
applicable. Algorithms will be analyzed both in theory and in practice
after prototype implementations. In the long term,
implementations should be improved whenever
it makes sense to target longerterm integrations into CGAL, in order
to disseminate our results to endusers.
Challenges. The global difficulty of this project is intrinsic to the differences between the classical Euclidean spaces and the spaces that we consider (to spot only one concrete example: translations in the hyperbolic plane do not commute). This prevents known algorithms of computational geometry from naturally extending to other spaces. The mathematical difficulties are real and new ideas will be necessary. The challenge is to provide new mathematical foundations for computational geometry, in order to allow the emergence of algorithms that will be both efficient in theory and effective in practice.
All visits to/from Groningen are partially supported by the University of Groningen.
All visits to/from Luxembourg are partially supported by the University of Luxembourg.
2018  
April 9  20  Monique Teillaud and Iordan Iordanov visit U. Groningen.  
January 15  26  Monique Teillaud and Iordan Iordanov visit U. Groningen.  
2017  
October 23  25  Vincent Despré visits U. Luxembourg.  
October 9  11  Vincent Despré visits U. Luxembourg.  
October 9  Monique Teillaud visits U. Luxembourg.  
October 1st  Vincent Despré starts a PostDoc at INRIA.  
September 25  29  Matthijs Ebbens visits INRIA.  
September 25  26  Astonishing workshop at INRIA  
September 18  October 6  Gert Vegter visits INRIA.  
September 1st  Matthijs Ebbens starts his PhD in Groningen.  
May 8  19  Monique Teillaud visits U. Groningen.  
May 15  19  Iordan Iordanov visits U. Groningen.  
March 29  31  Iordan Iordanov visits U. Luxembourg.  
January 30  Astonishing is accepted as an INRIA Associate Team.  
2016  
December 15  16  Monique Teillaud visits U. Luxembourg.  
November 14  18 
Andrew Yarmola visits INRIA.
He gives a talk: "Hyperbolic 3manifolds with low cusp volume". 

October 27  28  Monique Teillaud visits U. Luxembourg.  
September 19  30  Monique Teillaud visits U. Groningen.  
September 19  23  Iordan Iordanov visits U. Groningen.  
September 1st  Matthijs Ebbens starts his Master in Groningen.  
June 14  18  Monique Teillaud attends SoCG in Boston. She gives the talk on our accepted paper.  
June 1st  30  Iordan Iordanov visits U. Luxembourg.  
Apr 18  May 13 
Gert Vegter visits INRIA.
The visit is supported by the University of Lorraine. 

February 18 
Monique Teillaud and Iordan Iordanov visit U. Luxembourg.
Monique Teillaud gives a talk: "CGAL, geometry made practical" at the seminar Computer Science meets Mathematics. 

January 30  Astonishing is accepted as a NEAT [Nancy Emerging] ASsociate Team supported by INRIA Nancy  Grand Est.  
January 1st  Iordan Iordanov starts his PhD at INRIA. 