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Facts
and Figures : |
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Organisations
involved
: Claude Bernard Lyon 1 University
INSA-Lyon |
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Main skills : Algebra (group theory),
logics,
discrete mathematics,
cryptography,
combinatory mathematics,
geometry (discrete geometry and imaging),
applied analysis (control theory),
mathematical physics,
numerical analysis,
intensive scientific calculations,
parallel calculation,
mathematical modelling,
partial derivate equations,
probabilities,
statistics,
biomathematics, medical biometry and biocomputing,
mathematics applied to finance…
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The
la Doua Science Park draws on various competences in fundamental
research. It acts as a catalyst for breakthroughs and innovations.
More than 500 researchers and PhD students work in : |
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 PhysicsMathematicsEarth
Science |
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From
the 50's to the 70's research in mathematics concentrated mainly
on the establishment of major theories. Conversely an evolution
towards the resolution of specific problems is currently underway. |
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Furthermore,
mathematics are currently showing a real potential for application
development : logics (compilers, language theory, software validation),
number theory and algebric geometry (cryptography, coding),
algebric geometry (imaging, animation, artificial vision). |
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The
la Doua Science Park plays an active part in all these evolutions.
Strong competences in pure mathematics and in applied mathematics
(applications for engineering sciences, medicine and finance)
are both represented on the site. La Doua researchers are also
heavily involved in biomathematical programmes on gene mapping. |
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Many
different research contracts have been signed with large companies
: aeronautics (Dassault Aviation), car manufacturers (Renault,
Michelin), computer manufacturers (Compaq), glass industry (Vétrotex),
insurance and finance (Banque Indosuez, Ecureuil Vie, Athéna
Assurances, Caisse d'Epargne, Aurel), earth science and food
processing (Biomérieux, Danone, Pasteur Mérieux Connaught)…
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Click here to locate the research labs and businesses in fundamental
sciences >> |
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| Research
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Pure
mathematics : |
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First-class
partnerships : The Girard Desargues Institute is developing major
collaborations both in Europe and in the United States : USA (Penn
State University), Hungary (Balaton contract), Spain (Picasso contract),
Romania, Slovakia, South Korea… |
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The
major fields of study in mathematics are algebra (group theory),
logics, applied analysis (control theory), discrete geometry and imaging,
mathematical physics, cryptography and combinatory mathematics.
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Discrete
geometry and imaging : Researchers from the Institute are currently
working on the definition of geometrical points to superimpose two
X-ray images of the same brain taken at a given interval. They will
then assess the modifications of the image over that period of time.
Discrete geometry should thus enable real progress in medical imaging. |
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Mathematics
and astronomy : A major partnership has been established with
astronomers on robust assessment, i.e. assessing the reliabity of
predictions. This research is part of the study on the properties
of stars. |
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Applied
mathematics : |
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Applied
mathematics aims at improving our understanding of industrial or scientific
problems of the real world.
They often involve calculations for which knowledge in mathematics
either improves the method or simply makes it possible by limiting
the problems to be solved.
Applied mathematics also offers simplified representations and gives
qualitative hints as to the reliability of results, the relevance
of equations used,... |
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MAPLY
(The Lyon Applied Mathematics Lab - a CNRS joint research unit)
has a strong experience in mathematical models linked to various
scientific fields : reactive environments, laminar or turbulent
fluids, contact, friction, lubrication, and impact mechanics,
optimal design, boundary layers, homogenisation. Researchers
can therefore gain a better understanding of the language of
applications and users. Their culture based on partial derivate
equations has recently been extended to probabilities. |
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One
of today's real technological challenges consists in developing
code to better feed calculation processors without being slowed
down by computer memory access. The Modelisation and Scientific
Calculation Team has gained recognition in this field whether
for parallel calculations (algorithmics), or for major calculations
(flow,…). On a European scale, the team is involved in a programme
on distributed calculation with a large number of nodes (approximately
1,500 processors), with a view to challenging teams from the
Department of Energy in the USA and the NAL in Japan. |
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Actuarial
and finance mathematics : |
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ISFA
(Institute of Finance and Insurance Science) trains almost half of
all national actuarians, and its lab is a French leader in actuarial
and finance research. |
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Insurance
and financial markets : Insurance ranks first in France in terms
of financial turnover, as much as construction and chemistry put together.
It develops faster than the national economy and so does the sector
of financial services. The enormous financial stakes have led to a
boom in the need for analysis tools capable of improving decision
making. ISFA, together with various companies in this field of study,
has carried out statistical studies and developed financial and actuarial
assessment models. The Institute also plays an active role in the
FIQUAM research group the aim of which is a better understanding of
the way financial markets work, of risk assessment and of management
strategies. |
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Biomathematics
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Biomathematics/Biocomputing
and post-genome analysis : The Biometry and Evolutive Biology
Lab draws on competences in computing, statistics, data analysis,
and dynamic modelling to develop research on management, genome representation
and modelling. The lab is among the three founding members of PRABI
(Rhône Alpes Biocomputing Pole) together with IBCP and the INRIA Hélix
programme. As such, it is heavily involved in the Rhône-Alpes genopole
biocomputing programme. This research field is also concerned with
biodiversity and quantitative ecology most particularly as part of
dynamic systems (mainly differential equations) and data analysis.
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| Training
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Focus
on : |
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Licence de mathématiques (UCBL) (3-year degree
in mathematics ) |
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Maîtrise de mathématiques (UCBL) (4-year degree
in mathematics) |
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Maîtrise de mathématques mention ingénierie mathématique
(UCBL) (4-year degree in mathematics with a major in mathematical
engineering) |
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Filière "Ingénierie modélisation et calcul scientifique"
(ISTIL/UCBL) ("modelling engineering and scientific
calculations" curriculum) |
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Magistère
de mathematiques (UCBL) (vocational undergratuate degree
in mathematics) |
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mathematics
and computing (Math. IF) post-graduate school : DEA de
mathématiques, DEA d'analyse numérique, équations
aux dérivées partielles et calcul scientifique (post-graduate
research certificates in mathematics and numerical analysis,
partial derivate equations and scientific calculations). |
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Maîtrise de sciences et techniques (MST) sciences actuarielle
et financière (ISFA/UCBL) (4-year degree in sciences and
techniques, actuarial and finance science) |
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Magistère des sciences actuarielle et financière (ISFA/UCBL)
(vocational undergratuate degree in actuarial and finance
science) |
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DESS ingénierie mathématiques (options : ingénierie
financière, ingénierie de la décision, mathematics et
informatique) (ISFA/UCBL) (vocational
post-graduate degree in mathematics enginnering, with
majors in finance engineering, decision engineering, mathematics
and computer science). |
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DESS sciences actuarielle et financière (ISFA/UCBL) (vocational
post-graduate degree in actuarial and finance science) |
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Management - Information - Finance post-graduate school
: DEA Sciences actuarielle et financière (post-graduate
research certificates in actuarial and finance science) |
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Licence de biologie mention biologie des organismes (option
mathématiques appliquées à la biologie) (UCBL)
(3-year degree in biology specialising in organism biology
(majors in mathematics applied to biology)). |
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Maîtrise de biologie des populations et écosystèmes (option
mathématiques appliquées à la biologie) (UCBL)
(3-year degree in population and ecosystem biology (majors
in mathematics applied to biology). |
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Evolution, Ecosystem, Microbiology, and Modellling (E2M2)
post-graduate school : DEA Analyse et modélisation des
systèmes biologiques (post-graduate research certificates
in biological system analysis and modelling). |
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| An
overview of innovations and achievements at la Doua |
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| Transition
zones between miscible liquids |
MAPLY |
Little
is currently known about the transition zone between two liquids
and studies are affected by gravity. Mathematical models show
that a spherical drop in a different miscible liquid can lose
its symmetry. Experiments currently being prepared for the international
space station will shed light on the problem (NASA supported).
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| Major
projects |
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| Research |
Rhône-Alpes
Biocomputing Pole (PRABI), as part of state/region objective
contract |
Now
that gene mapping has been completed it is crucial to select
which information can effectively be used. This is the key to
treatment of certain diseases. This post-genome analysis, which
takes into account the functions of genes, quite heavily relies
on biomathematics and biocomputing. PRABI, founded by the UCBL
Biometry and Evolutive Biology Lab, IBCP (Institute of Biology
and Protein Chemistry) and INRIA, is one of the main French
partners in the programme. |
| Research |
Biocomputing
and Rhône-Alpes genopole |
Biocomputing
is one of the areas the Rhône-Alpes Genopole is active in. The
creation of a research centre in comparative analysis is at
stake. The purpose of the programme is to develop comparative
analyses as part of gene mapping, and particularly in an evolutive
context. The experience of PRABI is a key to the success of
the programme. |
| Research |
The
Lyon federation for scientific calculations and modelling |
The
UCBL modelling and scientific calculation team participates
in the digital modelling science pole (PSMN) which gathers several
local research labs and makes access to a high-performance parallel
calculation server possible. |
| Infrastructures |
Development
of ISFA |
ISFA
(Institute of Insurance and Finance Science) trains alsmost
half of all French actuarians. The number of actuarians trained
at la Doua is due to double in the years to come to compensate
for the shortage of actuarians in France. The development of
ISFA on the la Doua Science Park has therefore been decided. |
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Click here to locate the research labs and the businesses in fundamental
sciences >> |
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