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Algebra, Geometry, Logic

by WebAGL, WebTRAD - published on , updated on

Presentation

  • The research interests of the Algebra, Geometry, Logic team members deal with various aspects of these three parts of mathematics, as well as of mathematical physics. Lie Theory (and in particular algebraic group theory) is a partially unifying framework for these works.

Research themes

  • In Algebra and Geometry, we are particularly interested in the following subjects:
    • Representation theory: enveloping algebras and quantum analogues, representations of quivers, cluster algebras and categories.
    • Algebraic combinatorics : operads, lattices, trees.
    • Mathematical physics : quantification by deformation, Lie algebroids, cohomologie of Lie algebras, Lie Poisson groupoids, dynamical r-matrices.
    • Buildings: Tits systems, mazures.
    • Homogeneous dynamics : flow and diophantine applications.
    • Algebraic geometry : real algebraic geometry, algebraic geometry on arbitrary fields, enumerative geometry, spherical varieties and wonderful compactifications, arithmetic geometry, geometric invariant theory, Hilbert schemes, algebraic cycles, theory of motives, Calabi-Yau manifolds, hyperkähler manifolds.
    • Differential geometry : theory of immersions and embeddings, projective differential geometry.
    • Symplectic geometry and contact geometry: lagrangian Floer theory, symplectic field theory.
    • Microlocal analysis.
    • Complex analytic geometry : D-modules and singularities.
    • P-adic analytic geometry : rigid geometry and Berkovich spaces.
  • In Logic, we are particularly interested in the following subjects:
    • Pure model theory, stability and simplicity.
    • Model theory of groups and fields, groups and fields with model-theoretic properties.
    • Groups of finite Morley rank. Classification of simple groups, links with geometric theories and group theory.
    • Continuous logic and model theory of metric structures.
    • Descriptive set theory.
    • Also profinite structures, positive logic and algebraic complexity.

Team and related Seminars

Members


 
 Tuna Altinel   +33 (0)472446274   (UCBL-Braconnier  221)    
 Paul-Elliot Anglès d'Auriac   +33 (0)472446204   (UCBL-Braconnier  109D)    
 Rouchdi Bahloul   +33 (0)472431088   (UCBL-Braconnier  223)    
 Itaï Ben Yaacov   +33 (0)472432787   (UCBL-Braconnier  104 bis)    
 Jean-Christophe Bénière   +33 (0)472446272   (UCBL-Braconnier  231)    
 Patrick Berger   +33 (0)472448124   (UCBL-Braconnier  118)    
 Roland Berger   +33 (0)477481501   (UJM-Metare  C 132)    
 Thomas Blossier   +33 (0)472448311   (UCBL-Braconnier  239)    
 Vincent Borrelli   +33 (0)472447938   (UCBL-Braconnier  247)    
 Michaël Bulois   +33 (0)477481543   (UJM-Metare  C 111A)    
 Philippe Caldero   +33 (0)472446274   (UCBL-Braconnier  221)    
 Jules Chenal   +33 (0)426234513   (UCBL-Braconnier  109E)    
 Yves Cornulier   +33 (0)472431907   (UCBL-Braconnier  217)    
 Stéphane Druel   +33 (0)472448258   (UCBL-Braconnier  102 bis)    
 Benjamin Dupont   +33 (0)472446219   (UCBL-Braconnier  243)    
 Thierry Fack   +33 (0)426234553   (UCBL-Braconnier  107 bis)    
 Florence Fauquant-Millet   +33 (0)477481526   (UJM-Metare  C 134)    
 Lie Fu   +33 (0)472448132   (UCBL-Braconnier  201)    
 Stéphane Gaussent   +33 (0)477481577   (UJM-Metare  C 135)    
 Jérôme Germoni   +33 (0)472433606   (UCBL-Braconnier  114)    
 Philippe Gille   +33 (0)472447941   (UCBL-Braconnier  105 bis)    
 Clément Guerin   +33 (0)426234513   (UCBL-Braconnier  109E)    
 Gilbert Hector   +33 (0)472448556   (UCBL-Braconnier  116)    
 Kenji Iohara   +33 (0)426234549   (UCBL-Braconnier  120)    
 Colin Jahel   +33 (0)426234513   (UCBL-Braconnier  109E)    
 Marion Jeannin   +33 (0)472431689   (UCBL-Braconnier  111A)    
 Léo Jimenez   +33 (0)472431260   (UCBL-Braconnier  225)    
 Olga Kravchenko   +33 (0)472432789   (UCBL-Braconnier  234)    
 Octave Lacourte   +33 (0)426234513   (UCBL-Braconnier  109E)    
 Federico Lo-Bianco   +33 (0)472431252   (UCBL-Braconnier  225)    
 Philippe Malbos   +33 (0)472448525   (UCBL-Braconnier  255)    
 Olivier Mathieu   +33 (0)472431321   (UCBL-Braconnier  202)    
 Nicolás Matte Bon   +33 (0)472431007   (UCBL-Braconnier  250)    
 Uran Meha   +33 (0)472431194   (UCBL-Braconnier  226)    
 Julien Melleray   +33 (0)472446204   (UCBL-Braconnier  109D)    
 Christian Mercat   +33 (0)472448124   (UCBL-Braconnier  118)    
 Jorge Munoz Carvajal   +33 (0)472431374   (UCBL-Braconnier  100)    
 Klaus Niederkrüger   +33 (0)472446275   (UCBL-Braconnier  106 bis)    
 Abderezak Ould Houcine   +33 (0)472431077   (UCBL-Braconnier  209)    
 Serge Parmentier   +33 (0)472446272   (UCBL-Braconnier  231)    
 Ludovic Patey   +33 (0)472446204   (UCBL-Braconnier  109D)    
 Gadi Perets   +33 (0)472445879   (UCBL-Braconnier  133)    
 Bruno Poizat   +33 (0)472431007   (UCBL-Braconnier  250)    
 Nicolas Ressayre   +33 (0)472446200   (UCBL-Braconnier  109C)    
 Simon Robert   +33 (0)47.......   (UCBL-Braconnier  ...)    
 Nermin Salepci   +33 (0)472433606   (UCBL-Braconnier  114)    
 Antonio Maria Scielzo   +33 (0)472431374   (UCBL-Braconnier  100)    
 Alexis Tchoudjem   +33 (0)472448394   (UCBL-Braconnier  113)    
 Amaury Thuillier   +33 (0)472445879   (UCBL-Braconnier  133)    
 Georges Tomanov   +33 (0)472431691   (UCBL-Braconnier  229)    
 Todor Tsankov   +33 (0)472448578   (UCBL-Braconnier  102)    
 Nicolas Vichery   +33 (0)472446248   (UCBL-Braconnier  124)    
 Frank Olaf Wagner   +33 (0)472432786   (UCBL-Braconnier  101)    
 Jean-Yves Welschinger   +33 (0)426234558   (UCBL-Braconnier  130)    
 Samuel Zamour   +33 (0)472431190   (UCBL-Braconnier  219)    

Nombre de personnes : 55
 

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