French National Research Agency (ANR) project
GEOLMI - Geometry and Algebra of Linear Matrix Inequalities with
Systems Control Applications
Geometry of determinantal varieties
Computational algebraic geometry
Systems control applications
Pure mathematics (real and complex algebraic geometry)
Applied mathematics (computational algebraic geometry, optimization,
Engineering sciences (systems control)
2011 - 2015
Grenoble: Roland Hildebrand, Jérôme Malick, LJK-CNRS, Univ. Joseph Fourier de Grenoble
Nice: Laurent Busé, Bernard Mourrain, Evelyne Hubert, INRIA Sophia Antipolis Méditerranée
Paris: Jean-Charles Faugère, Mohab Safey El Din, Philippe Trébuchet, Elias Tsigaridas,
LIP6-CNRS Univ. Pierre et Marie Curie, INRIA Paris Rocquencourt
Pau: Daniele Faenzi, Jean Vallès, LMA-CNRS, Univ. de Pau et des Pays de l'Adour
Rennes: Michel Coste, Ronan Quarez, Marie-Françoise Roy, IRMAR-CNRS, Univ. de Rennes
Toulouse: Didier Henrion, Jean-Bernard Lasserre, LAAS-CNRS, Univ. de Toulouse
Marta Abril Bucero, PhD student supervised by Bernard Mourrain (Nice) from October 2011 to December 2014.
Simone Naldi, PhD student co-supervised by Didier Henrion (Toulouse)
and Mohab Safey El Din (Paris) from October 2012 to October 2015.
Joan Pons Llopis, Post-doctoral associate with Daniele Faenzi and
Jean Vallès (Pau), from January to December 2014.
The project is an outgrowth of a previous PEPS (mutildisciplinary exploratory project) funded by CNRS
from January 2008 to December 2009
and which culminated with an international workshop.
Spring 2011: the Toulouse group is awarded a grant from the Foundation Simone and Cino Del Duca of the Institut de France,
upon recommendation by a committee of the French Academy of Sciences, see this
article (in French).
24-25 November 2011: 1st GeoLMI meeting: a workshop is organised by Ronan Quarez (Rennes) in Rennes.
20-24 February 2012: a workshop on Emerging Developments in Real Algebraic Geometry: Positivity, Convexity,
NC-Geometry, Optimization is organised by Gennadiy Averkov, Martin Henk (Magdeburg); Salma Kuhlmann, Claus Scheiderer, Markus Schweighofer (Konstanz)
in Magdeburg, Germany.
Spring 2012: Didier Henrion (Toulouse) and Jerome Malick (Grenoble) are awarded the
2011 Charles Broyden prize
for their paper "Projection methods for conic feasibility
problems, applications to polynomial sum of squares decompositions" published in Vol. 16,
Issue 1, Feb. 2011 of the journal Optimization Method Software.
Spring 2012: Mohab Safey El Din (Paris) joins the Institut Universitaire de France as a junior member
for a duration of 5 years.
11-15 June 2012: a school on hyperplane arrangements and related topics
is organised by Daniele Faenzi (Pau), Vincent Florens (Pau), Daniel Matei (Bucharest) and Jean Vallès (Pau) in Pau.
27-29 June 2012: Mathieu Claeys (Toulouse), PhD student working
on semidefinite programming formulations for impulsive optimal control problems, is one of the 5 finalists selected for the student paper
award of the American Control Conference, Montreal, Canada.
3-7 September 2012: a summer school on
semidefinite optimization is organised by Gabriele Nebe (Aachen) and the Research Training "Group experimental and constructive algebra"
funded by the German Research Foundation in Kirchberg/Hunsrueck, Germany.
17-21 September 2012: 2nd GeoLMI meeting: the Mathematics,
Algorithms and Proofs (MAP) conference is organised by Thierry Coquand
(Stockholm), Didier Henrion (Toulouse), Henri Lombardi (Besancon),
Cordian Riener (Konstanz), Marie-Francoise Roy (Rennes) and
Markus Schweighofer (Konstanz) in Konstanz, Germany. The conference includes
GeoLMI sessions. See also this poster.
December 2012: Florian Bugarin (Toulouse) is awarded the 2012 Léopold Escande prize for
his PhD thesis on computer vision applications of polynomial optimization, defended in October 2012,
and co-supervised by D. Henrion (Toulouse) and Jean-José Orteu (Albi).
January 2013: J.-B. Lasserre (Toulouse) and J. Malick (Grenoble) are part
of the new scientific board of the French CNRS working group
MOA (mathematics of optimization
24 February - 2 March 2013: M. Charina (Dortmund), J. B. Lasserre (Toulouse), M. Putinar (Santa Barbara) and J. Stoeckler (Dortmund),
organise a workshop on structured
function systems and applications at the Mathematisches Forschungsinstitut Oberwolfach (MFO), Germany.
11-12 April 2013: A. Boralevi (Warsaw), D. Faenzi (Pau), E. Mezzetti (Trieste) and J. Vallès (Pau)
workshop on vector bundles and related topics at the University of Pau, France.
Summer 2013: J. Fliege (Southampton), J. B. Lasserre (Toulouse), A. N. Letchford (Lancaster) and M. Schweighofer (Konstanz),
organise a thematic programme on polynomial optimisation at the
Isaac Newton Institute for Mathematical Sciences, Cambridge, UK.
12-16 November 2013: 3rd GeoLMI meeting: D. Henrion (Toulouse) and M. Laurent (Amsterdam) organise a conference at the Centre International de Rencontres Mathématiques (CIRM) near Marseille, France.
29-31 January 2014: Vector Bundles Days II: workshop organized by
A. Boralevi, D. Faenzi, E. Mezzeti and J. Valles at the University of Trieste.
27 February-2 March 2014: Alexander Engstroem and Cordian Riener (Helsinki) organise the
ARAG workshop on applications of real algebraic geometry
at Aalto University, Helsinki, Finland.
6-12 April 2014: 4th GeoLMI meeting: D. Henrion (Toulouse), S. Kuhlmann (Konstanz) and V. Vinnikov (Beer-Sheva) organise
on Real Algebraic Geometry with a View Toward Systems Control and Free Positivity at the
Mathematisches Forschungsinstitut Oberwolfach (MFO), Germany.
Summer 2014: Daniele Faenzi (Pau) joins the Université de Bourgogne, Dijon as a professor.
Marta Abril Bucero defends her PhD thesis at
INRIA Sophia-Antipolis, Nice, on 12 December 2014.
Advisor: Bernard Mourrain (INRIA Sophia-Antipolis).
Referees: Didier Henrion (LAAS-CNRS Univ. Toulouse),
Mohab Safey El Din (Univ. Pierre et Marie Curie Paris),
Markus Schweighofer (Univ. Konstanz).
Committee: Mariemi Alonso (Univ. Complutense Madrid),
André Galligo (Univ. Nice).
22-24 June 2015: 5th and final GeoLMI meeting jointly with a workshop
organized by D. Henrion (Toulouse) and M. Safey El Din (Paris) in Paris.
Simone Naldi defends his PhD thesis at
LAAS-CNRS, Univ. Toulouse, on 24 September 2015.
Advisors: Didier Henrion (LAAS-CNRS Univ. Toulouse)
and Mohab Safey El Din (Univ. Pierre et Marie Curie Paris).
Referees: Stéphane Gaubert (Inria Saclay and Ecole Polytechnique),
Bernd Sturmfels (Univ. California at Berkeley).
Committee: Bernard Mourrain (Inria Nice),
Giorgio Ottaviani (Univ. Florence),
Bruno Salvy (Inria Lyon and Ecole Normale Supérieure Lyon),
Markus Schweighofer (Univ. Konstanz).