English Version

Grupuri, grupuri cuantice, coringuri si teoria reprezentarii

Groups, quantum groups, corings and representation theory



Contract nr. 24/28.09.2007 din cadrul PN-II, programul "Idei"


Director: Prof.Dr. Gigel Militaru



Articole publicate—Published papers

  1. B. Ion, Standard bases for affine parabolic modules and nonsymmetric Macdonald polynomials, J. Algebra, 319 (2008), 3480-3517.
  2. M.C. Iovanov, J. Vercruysse, Cofrobenius corings and adjoint functors, Journal of Pure and Applied Algebra, Vol. 212 (2008), Issue 9, 2011-2146.
  3. M.C. Iovanov, Frobenius Extensions of Corings, Commun. Algebra 36 (2008), no. 3, 869-892.
  4. M.C. Iovanov, C. Nastasescu, B. Torrecillas-Jover, The Dickson Subcategory Splitting Conjecture for Pseudocompact Algebras, J. Algebra 320 (2008), 2144-2155.
  5. A.L. Agore, G. Militaru, Crossed Product of groups. Applications. Arabian J. Sci. and Engineering (AJSE), 33 (2008), 1-17
  6. A. L. Agore, A. Chirvasitu, B. Ion, G. Militaru: Bicrossed products for finite groups, Algebras and Representation Theory, 12(2009), 481-488
  7. M. Beattie, M.C. Iovanov, S. Raianu, The Antipode of a dual quasi-Hopf algebra with nonzero integrals is bijective, Algebras and Representation Theory 12 (2009), 251-255.
  8. M.C. Iovanov, The Generating Condition for Coalgebras, Bulletin of the London Mathematical Society 41 (2009), no.3, 483-494.
  9. M.C. Iovanov, When does the Rational Torsion Split off for Finitely Generated Modules, Algebras and Representation theory (2009), no. 2-5, 287-309.
  10. B. Ion, Generalized exponents of small representations. I, Representation Theory, 13 (2009) 401-426.
  11. G. Militaru, Serre Theorem for involutory Hopf algebras, Centr. Eur. J. Math, Vol. 8, Issue 1 (2010), 15-21.
  12. A. L. Agore, D. Fratila, Crossed products of cyclic groups, acceptat pentru publicare in Czechoslovak Mathematical Journal.
  13. A. L. Agore, Categorical constructions for Hopf algebras, acceptat spre publicare in Commun. Algebra.
  14. A.L. Agore, Monomorphisms of coalgebras, acceptat spre publicare in Colloq. Math.
  15. M.C. Iovanov, L. Kadison, "When is a weak quasi-Hopf algebra Frobenius", acceptat spre publicare in Proc. AMS.
  16. A. L. Agore, G. Militaru, Deformation of a matched pair and Schreirer type theorems for bicrossed product of groups, trimis spre publicare
  17. A.L. Agore, Limits of coalgebras, bialgebras and Hopf algebras, acceptat spre publicare in Proc. Amer. Math Soc.
  18. B. Ion, A Poincare-Birkhoff-Witt theorem for Hopf algebras with central coradical, trimis spre publicare
  19. B. Ion, Generalized exponents of small representations. II., va apre in Representation Theory.
  20. M.C. Iovanov, Abstract Integrals in Algebra, trimis spre publicare.
 Echipa proiectului—The team of the project:
    - Ana Loredana Agore (ana.agore fmi.unibuc.ro)
    - Bogdan Ion,
    - Dragos Fratila (dragos.fratila fmi.unibuc.ro)
    - Gigel Militaru,
    - Miodrag Cristian Iovanov (pagina personala)

 Rezumatul proiectului—Abstract of the project

 Gradul de implicare al tinerilor cercetatori—The young people of the project

 Obiectivele programului - Project Objectives

 Bugetul

 Obiective si activitati si gradul de realizare. Rezultate obtinute—Objectives, Activities. Results

 Actiuni desfasurate in cadrul programului

 Rapoarte
        2007
            - Raport de sinteza detaliat
            - Raport de autoevaluare

        2008
            - Raport de sinteza detaliat
            - Raport de autoevaluare

        2009 etapa intermediara
            - Raport de sinteza detaliat
            - Deviz post calcul

        2009 etapa finala
            - Raport de sinteza detaliat
            - Raport de autoevaluare


 Expunerea la sedinta publica de monitorizare CNCSIS 30.10.09: performanta si cheltuieli din grant



Prof.dr. Ornea Liviu - secretar stiintific

  


Data si locul nasterii: 14.07.1960, Bucuresti.

Studii: Facultatea de Matematica, Universitatea din Bucuresti (licenta 1984, specializare in algebra-geometrie 1985).
Doctorat: 1993, Universitatea din Bucuresti, cu teza "Structuri geometrice pe varietati complexe. Structuri local conform Kaehler" (indrumator Prof.dr. S. Ianus).
Pozitii academice: Asistent (1990-1995), Lector (1995-2000), Conferentiar (2000-2004), profesor (2004-prezent).
Pozitii de cercetare: Cerc. st. I la Institutul de Matematica "Simion Stoilow" al Academiei Romane (2007-prezent).
Cursuri predate la Facultatea de Matematica si la SNSB: Geometrie, Geometrie diferentiala, Topologie algebrica, Calcul variational in geometria riemanniana, Geometrie simplectica, Geometrie complexa, Concepte algebrice in geometrie.
Profesor/cercetator vizitator: "Max Planck" Inst. (Bonn), Ecole Polytechnique (Paris), ICTP (Trieste), "Erwin Schroedinger" Inst. (Viena), University of New Mexico (Albuquerque), Univ. din Roma "La Sapienza", Ecole Polytechnique Federale de Lausanne, Tokyo Metropolitan Univ. etc.
Domeniul de cercetare: Geometria diferentiala.
Premiul "Gheorghe Titeica" al Academiei Romane in 1998 pentru cartea "Locally conformal Kaehler geometry" (Birkhauser).


 Pentru informatii complete: pagina personala

Carti si manuale

  1. Curbe si suprafete diferentiabile (culegere de probleme), Ed. Universitatii Bucuresti, 1995.
  2. Locally conformal Kähler geometry, Progress in Math. 155, Birkhuäser, (1998) (cu Sorin Dragomir). MR99a:53081.
  3. O introducere in geometrie. Fundatia Theta 2000 (cu Adriana Turtoi). Zbl 1033.51001.

Articole stiintifice

  1. Conformally Einstein Products and Nearly Kaehler Manifolds (impreuna cu Andrei Moroianu). Annals of Global Analysis and Geometry 33(2008), 11-18.
  2. Embeddings of compact Sasakian manifolds (impreuna cu Misha Verbitsky). Mathematical Research Letters, 14 (2007), 703-710.
  3. Einstein-Weyl structures on complex manifolds and conformal version of Monge-Ampere equation (impreuna cu Misha Verbitsky). Bull. Math. Soc. Sci. Math. Roumanie Tome 51(99) No.4, 2008, 339-353.
  4. Sasakian structures on CR-manifolds (impreuna cu Misha Verbitsky). Geometriae Dedicata 125 (2007), 159-173.
  5. Constructions in Sasakian Geometry (impreuna cu Charles P. Boyer, Krzysztof Galicki). Mathematische Zeitschrift 257 (2007), 907-924.
  6. Locally conformal Kaehler manifolds with potential (impreuna cu Misha Verbitsky). Va aparea in Mathematische Annalen.
  7. Vaisman reduction in complex and quaternionic geometry (impreuna cu R.Gini, M.Parton si P.Piccinni). Journal of Geometry and Physics, 56 (2006), 2501-2522.
  8. CR-submanifolds. A class of examples. Revue roumaine de math. pures appl. 51 (2006) 77-85.
  9. Locally conformally Kaehler manifolds. A selection of results. Lecture Notes of Seminario Interdisciplinare di Matematica, 4(2005), 121-152. MR2007c:53101.
  10. Non-zero contact and Sasakian reduction (impreuna cu O.Dragulete), Differential Geometry and its Applications 24 (2006), 260-270. MR2007e:53111.
  11. Harmonicity and minimality of vector fields and distributions on locally conformal Kaehler and hyperkaehler manifolds (impreuna cu L.Vanhecke), Bull. of the Belgian Math. Soc. "Simon Stevin" 12 (2005) 543-555. MR2007d:53106.
  12. An immersion theorem for Vaisman manifolds (impreuna cu M.Verbitsky), Mathematische Annalen 332 (2005), 121-143. MR2006e:53112.
  13. Locally conformal Kaehler reduction (impreuna cu R. Gini and M. Parton). Crelle Journal fuer die Reine und Angewandte Mathematik 581 (2005), 1-21. MR2006c:53077.
  14. Geometric flow on compact locally conformally Kaehler manifolds (impreuna cu Y.Kamishima). Tohoku Math. J. 57 (2) (2005), 201-221. MR2006g:53112.
  15. Eigenvalue estimates for the Dirac operator and harmonic 1-forms of constant length (impreuna cu A.Moroianu). Comptes Rendus Acad. Sci. Paris, 338 (2004), 561-564. MR2005f:58054.
  16. Structure theorem for compact Vaisman manifolds, Mathematical Research Letters, 10 (2003), 799-805 (impreuna cu M. Verbitsky). Also available at math.DG/0305259. MR2004j:53093).
  17. Potential 1-forms for hyper-Kaehler structures with torsion, Classical and Quantum Gravity 20 (2003), 1845-1856 (impreuna cu Y.S Poon si A.Swann). MR2004e:53070.
  18. Cosphere bundle reduction in contact geometry, Journal of symplectic geometry, 1(4) (2002), 695-714. (impreuna cu O.Dragulete si T.S.Ratiu) MR2004m:53141.
  19. Weyl structures in quaternionic geometry. A state of the art. Barletta, Elisabetta (ed.), Selected topics in geometry and mathematical physics. Vol.I. Potenza: Univ. degli Studi della Basilicata, Dipartimento di Matematica, Seminario Interdisciplinare di Matematica, 43-80 (2001). Zbl 1029.53055
  20. Cayley 4-frames and a quaternion Kaehler reduction related to Spin(7), Global differential geometry: the mathematical legacy of Alfred Gray (Bilbao 2000), 401-405, Contemporary Mathematics 288, Amer. Math. Soc. Providence, RI, 2001 (impreuna cu Paolo Piccinni). MR 2003c:53072.
  21. Reduction of Sasakian manifolds, Journal of Mathematical Physics 48 (2001), 3809-3816 (impreuna cu G.Grantcharov) MR 2002e:53060.
  22. Local almost contact metric 3-structures, Publicationes Mathematicae (Debrecen) 57 (2000) 499-508 (impreuna cu Paola Matzeu) MR 2002a:53057.
  23. Complex structures on some Stiefel manifolds, Bull. Math. Soc. Sci. Math. Roumanie (N.S.) 49 (2000) (impreuna cu Paolo Piccinni) MR 2002c:53120.
  24. On some moment maps and induced Hopf bundles in the quaternionic projective space, International Journal of Mathematics 11 (2000), 925-942 (impreuna cu Paolo Piccinni) MR 2002a:53061.
  25. Intersections of Riemannian submanifolds. Variations on a theme by T.J.Frankel, Rendiconti di Matematica (Roma), 19 (1999), 107-121 (impreuna cu T.Bingh si L.Tamassy) MR 2000g:53074.
  26. Locally conformal Kaehler metrics on Hopf surfaces, Annales de l'Institut Fourier, 48 (1998), 1107-1127 (impreuna cu P.Gauduchon) MR 2000g:53088.
  27. Compact hyperhermitian-Weyl and quaternion Hermitian-Weyl manifolds, Annals of Global Analysis and Geometry, 16 (1998), 383-398. (impreuna cu P.Piccinni). MR 99k:53097; Erratum, idem, 18 (2000), 105-106. MR 2000k:53044.
  28. An example of an almost hyperbolic Hermitian manifold, International Journal of Mathematics and Mathematical Sciences, 21 (1998), 613-618 (impreuna cu C.-L.Bejan). MR 98m:53039.
  29. Locally conformal Kaehler structures in quaternionic geometry, Transactions of the American Mathematical Society, 349 (1997), 641-655, (impreuna cu P.Piccinni). MR 97e:53091.
  30. Induced Hopf bundles and Einstein metrics, in New developments in differential geometry, Budapest (1996), 295-306, Kluwer (impreuna cu P.Piccinni). MR 99k:53099.
  31. Weyl structures on quaternionic manifolds, Proceedings of the Meeting on Quaternionic Structures in Mathematics and Physics, Trieste 1994. SISSA, Trieste, (1996), 261-267, (impreuna cu P.Piccinni). MR 99k:53098.
  32. Holomorphic and harmonic maps on locally conformal Kaehler manifolds, Bolletino dell'Unione Matematica Italiana, (7)9-A(1995), 569-579, (impreuna cu S.Ianus, V.Vuletescu), MR 96i:58037.
  33. Conformal geometry of Riemannian submanifolds. Gauss, Codazzi and Ricci equations, Rendiconti di Matematica (Roma), 15, (1995), 233-249, (impreuna cu G.Romani). Zbl. 833:53015.
  34. Extrinsic spheres of a generalized Hopf manifold. Publ. Math. Debrecen 44 (1994), 189-200 (impreuna cu S.Ianus, K.Matsumoto). MR94m:53080.
  35. Locally conformal Kaehler manifolds. A survey, Quaderno n. 12, Dip. di Mat., Univ. di Roma "La Sapienza", (1994).
  36. The fundamental equations of conformal submersions, Beitrage zur Algebra und Geometrie / Contributions to Algebra and Geometry, 34, (1993), 233-243, (impreuna cu G.Romani), MR 95a:53055.
  37. Submanifolds with parallel second fundamental form in a generalized Hopf manifold, Ricerche di Matematica (Napoli), XLII, (1993), 3-9, MR 95d:35066.
  38. Immersions spheriques dans une variete de Hopf generalisee, Comptes Rendus de l' Acad. Sci. Paris, 316, (1993), 63-66, (impreuna cu S.Ianus, K.Matsumoto), MR 93m:53067.
  39. A theorem on nonnegatively curved locally conformal Kaehler manifolds, Rendiconti di Matematica (Roma), serie VII, 12, (1992), 257-262, MR 93h:53071.
  40. A certain symmetric F-connection in locally conformal Kaehler manifolds. Bull. Yamagata Univ. Natur. Sci. 12 (1991), no.4, 299-306 (impreuna cu S.Ianus, K.Matsumoto). MR92a:53026.
  41. A class of antiinvariant submanifolds of a generalized Hopf manifold, Bull. Math. de la Soc. Sci. Math. de Roumanie, 34, (1990), 115-123, (impreuna cu S.Ianus), MR 91m:53039.
  42. Minimal real hypersurfaces of a generalized Hopf manifold, Analele St. Univ. "Al. I. Cuza" Iasi, 2, (1990), 137-142, MR 92i:53019.
  43. Complex hypersurfaces with planar geodesics in generalized Hopf manifolds, Mathematika Balkanica 3 (1989) 92-96, MR 90g:53072.
  44. Complex hypersurfaces of a generalized Hopf manifold, Publications de l'Inst. Math. (Beograd), 42, (1987), 123-129, (impreuna cu S.Ianus, K.Matsumoto) MR 89f:53079.
  45. On certain vector fields in locally conformal Kaehler manifolds, Bull. Yamagata Univ. Natur. Sci. 11 (1987), 335--344 (impreuna cu S.Ianus, K.Matsumoto). MR88b:53077.
  46. CR-submanifolds of a locally conformal Kaehler manifold, Demonstratio Mathematica, 19, (1986), 863-869, MR 90g:53072.
  47. Subvarietati CR-generice in S-varietati, Stud. Cerc. Mat. 36 (1984), 435-443. MR86j:53084.



Actualizat: 29 iulie 2007



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