Le Mans Université

Founding laboratories:

The institute brings together teacher-researchers belonging to 3 Host teams.

The group brings together all the expertise in risk, insurance and finance research.

Groupe d'Analyse des Itinéraires et Niveaux Salariaux (G.A.I.N.S.)

Director: François Langot | françois.langot@univ-lemans.fr
Associate Director: Mehdi Nekhili | mehdi.nekhili @ univ-lemans.fr

 

GAINS is composed of two teams: one in Economics (EURESEMans) and the other in Management Sciences (ARGUMans). The former still works in macroeconomics and the labour market, but also on risk analysis and the demand for insurance or social protection linked to them. The second develops its research in the study of organizations, accounting, control and audit, marketing and the social economy. List of lecturers-researchers in the field of Economic Sciences
In 2008, GAINS was a founding member of the research federation CNRS "Travail, Emploi et Politiques Publiques" (TEPP) which now includes 10 laboratories.   

   

  •  EURESEMans - Le Mans University Research Team in Economics

Initially focused on issues relating to the functioning of the labour market and wage setting, it gradually enriched these themes, then extended them to the analysis of public policies, to the analysis of the risks inherent in the functioning of the labour market, and to the study of the demand for insurance and social protection linked to occupational risks. This team has developed skills in modelling, econometric techniques and simulation methods.
Today, these aspects are grouped around two axes:
- The "evaluation of employment policies" axis
- The "risks, decision and insurance" axis

  •  ARGUMans - Le Mans University Management Research Workshop

It brings together skills in the fields of organisational study and governance, corporate finance, accounting and management control, marketing and human resources management.
The team's work is organized around two axes in the field of management:
- The "Organizational forms and governance" axis is concerned on the one hand with the impact of the environment on organizational forms (their management practices, their performance or the emergence of emerging forms), and on the other hand with corporate governance and its effects.
- The "Behaviour and decision-making choices" axis deals with the factors that influence, on the one hand, the decision-making process and the forms of this process, and on the other hand, consumer choices and behaviour.

Laboratoire Manceau de Mathématiques (L.M.M.)

The Laboratoire Manceau de Mathématiques (formerly Laboratoire de statistique et processus) was created in 1994 from the probabilistic core with the aim of developing two poles, one in probability, stochastic computation, the other in process statistics. The laboratory aims to welcome, bring together and support researchers active in these three themes. List of teacher-researchers in the Mathematics field.

 

  • Process Statistics Team

The research area is Statistics of stochastic processes in continuous time and statistical problems for time series. In particular, we study parametric and non-parametric estimation problems for scattering process models (ergodic, with "small noise" and fractional Brownian motion (fBm) type noise) and non-homogeneous Poisson processes. The results obtained are the subject of three books published by Springer where the general theory of statistical estimation (parametric and non-parametric, regular and nonregular) for these models is developed. In all problems asymptotically effective estimators have been proposed. The complete analysis of the filtering problem, and parameter estimation for linear systems with fBm noise has been completed. The approaches developed and the results obtained offer the hope of solving problems of this kind in infinitely large spaces, which is very important for applications to real systems subjected to long memory noise and for non-linear systems. We work on asymptotic stability problems of filter equations. Problems in estimating ruptures are considered for consequences that are not necessarily stationary and possibly highly dependent.

Hypothesis testing problems (parametric and non-parametric, regular and nonregular) are studied by Pisces field observations with the aim of constructing a general (asymptotic) theory. We also assume performing numerical simulations of these tests and comparing them with theoretical results.

 

  •     Financial Mathematical Probability Team

The "Probabilities" group has as its research theme the study of stochastic retrograde (EDSR) and progressive-retrograde (EDSPR) differential equations and their applications in several domains, such as financial mathematics, optimal control and stochastic differential games of zero or non-zero sum or deterministic or stochastic partial differential equations. Indeed, to name but a few, the problems of real options, recallable options, risk measurement, ... refer to the resolution of EDSR. On the other hand the problems of optimal control, stochastic differential play are solved via EDSR or EDSPR. Several results in this direction have been obtained. However, there are still many open issues on which we intend to work in the future, both in the area of DHSR/EDSPR and applications. First, weaken the conditions under which the existence/unicity of solutions can be asserted, especially when the equations are multidimensional. Then solve new problems by using EDSR/EDSPR in particular in connection with financial mathematics. Another topic that deserves attention is that of the digital solution schemes of the EDSR/EDSPR, which are very valuable for their applications to the evaluation of option prices and whose work is in an embryonic stage. In addition, the local study of quasi-linear stochastic EDP solutions (with space-time noise) will be continued using doubly stochastic EDSR. Another topic of study is the functional quantification of non-Gaussian measurements and their associated numerical methods.

 

  •   Arithmetic and Geometry Team

In algebra and number theory, two quite distinct main themes are addressed: arithmetic of bodies in the broad sense and additive number theory.

In body arithmetic the work revolves around three main concerns. The first is Galois' inverse problem in its modern, geometric form. P1 coatings and their associated module spaces (Hurwitz spaces) are therefore studied with a view to the creation of Galois groups or the direct study of absolute Galois groups. The second concerns the classical Galois theory, the study of Galoisian considerations related to bodies and more generally the bodies themselves and the objects which are traditionally attached to them (theory of valuations, orderable bodies, Galoisian cohomology, Pythagorean bodies, arithmetic of profinised groups, differential method). The third concerns the study of certain groups appearing in arithmetic and which go beyond the traditional Galoisian framework, for example groups of automorphisms of certain Hensélian or algebraically closed bodies, or also groups of units of rings of formal series.

In additive number theory we are interested in the notion of essentiality in an additive base, i.e. the minimum parts P of a base A such that A-P remains a base. The study concerns the estimation, as a function of invariants linked to a given additive base, of the number of essentialities existing in this base.

THEMIS-UM

 

Director: Valérie LASSERRE-KIESOW 

Associate Director: Sarah CASSELLA

 

ThemisUm is an interdisciplinary laboratory bringing together privatist lawyers, publicists and legal historians who work critically on current issues. List of teacher-researchers in the Law field.

It has two axes.

  • The first is the "Risk Law" area, which deals with risk in general and insurance law in particular and is integrated into the Risk and Insurance Institute.
  • The second is the "Hybridization and articulation of normative systems" axis, which studies contemporary changes in normativity under the influence of changes in society, the globalization of the comparison of rights and in the light of history.

The "Risk Law" area has developed several themes:

  • Financial and sovereign risks,
  • risks of new technologies (technological change, connected objects, predictive justice, artificial intelligence, robots),
  • legal risks (risk of legal uncertainty and risk of litigation),
  • societal or personal risks (LDC, death, human rights, personality, 5th risk, risk of corruption).

Every year, the members of the laboratory publish several dozen articles and organize numerous conferences on these topics of the greatest topicality.