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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



Lect.dr. Gherghe Catalin

  


Data si locul nasterii: in 1967, la Focsani.

Educatia: A absolvit Facultatea de Matematica a Universitatii Bucuresti in 1991.
Teza de doctorat: A obtinut titlul de doctor in Matematica in 1999 cu lucrarea "Aplicatii armonice in varietati Riemanniene si Hermitiene".
Pozitii academice: Preparator din 1991, asistent din 1994, lector din 2000.
Cursuri predate: A tinut seminarii de Geometrie, Geometrie Diferentiala, Geometrie Riemanniana, Aplicatii armonice precum si cursul de geometrie la anul I.
Domenii de interes stiintific: Lucreaza in domeniul Geometriei Riemanniene.

A fost invitat pentru conferinte la Universitatea La Sapienza din Roma (1998, 2000) si la Universitatea din Bari (1999).




  FISA PREZENTARE


LISTA DE LUCRARI

Candidat lect.dr Catalin-Liviu Gherghe

Teza de doctorat: Aplicatii armonice pe varietati Riemanniene si Hermitiene, Universitatea din Bucuresti, Facultatea de Matematica, 1999, (conducator prof.dr.S.Ianus).

Carti

  1. Criptografie. Coduri. Algoritmi, Ed. Universitatii din Bucuresti, 2005 (in colaborare cu Dorin Popescu).
  2. Probleme de geometrie proiectiva, Ed. Universitatii din Bucuresti, 2000.

Articole publicate in reviste de specialitate de circulatie internationala recunoscute:

  1. Energy minimizer maps on C-manifolds, Differential Geom. Appl. 21 (2004), no.1, 55-63 (in colaborare cu K.Kenmotsu), recenzata in MR2067458 (2005b:53103) si in Zbl 1067.53051, (revista cotata ISI).
  2. Harmonic maps and cosymplectic manifolds, J. Aust. Math. Soc. 76 (2004), no.1, 75-92 (in colaborare cu E.Boeckx), recenzata in MR2029311 (2005b:53102) si in Zbl 1063.53069, (revista cotata ISI).
  3. Harmonic maps on C-manifolds, Recent advances in geometry and topology, 181-185, Cluj Univ. Press, Cluj-Napoca, 2004, recenzata in MR2113580 (2005j:53067).
  4. CR-manifolds, harmonic maps and stability, J. Geom. 71 (2001), no.1-2, 42-53 (in colaborare cu S.Ianus si A.M.Pastore), recenzata in MR1848311 (2002g:53112) si in Zbl 1038.58014.
  5. Harmonic maps on Kenmotsu manifolds, Rev. Roumaine Math. Pures Appl. 45 (2000), no.3, 447-453 (2001), recenzata in MR1840166 (2002d:53087) si in Zbl 0993.58013.
  6. Harmonic maps, harmonic morphisms and stability. Bull. Math. Soc. Sci. Math. Roumanie (N.S.) 43(91) (2000), no.3-4, 247-254, (in colaborare cu S.Ianus si A.M.Pastore), recenzata in MR1837479 (2002c:53109).
  7. Harmonicity on some almost contact metric manifolds, Rend. Circ. Mat. Palermo (2) 49 (2000), no.3, 415-424, recenzata in MR1809084 (2001k:53154).
  8. Harmonicity on nearly trans-Sasaki manifolds, Demonstratio Math. 33 (2000), no.1, 151-157, recenzata in MR1759875 (2001g:53141).
  9. Harmonic morphisms on some almost contact metric manifolds, Tensor (N.S.) 61 (1999), no.3, 276-281, recenzata in MR1910844 (2003d:53110) si in Zbl 1061.53042.
  10. On some submanifolds with harmonic mean curvature vector field, Math. Rep. (Bucur.) 1(51) (1999), no.1, 47-51, recenzata in MR1826612 (2002f:53105) si in Zbl 1033.53048.
  11. Harmonic maps on trans-Sasaki manifolds, Rend. Circ. Mat. Palermo (2) 48 (1999), no.3, 477-486, recenzata in MR1731448 (2001e:53067) si in Zbl 0961.53036.
  12. Pluriharmonic maps on tangent bundles of a Riemannian or Hermitian manifold, An. Univ. Bucuresti Mat. 46 (1997), 3-8, (in colaborare cu I.Calinov), recenzata in MR1618498 (99f:58047) si in Zbl 0899.58013.
  13. Quasi-connexion de Golab-Lyra, Demonstratio Math. 30 (1997), no.1, 1-6, recenzata in MR1446592 (98g:53026).
  14. Champs presque F-speciaux, Bull. Math. Soc. Sci. Math. Roumanie (N.S.) 38(86) (1994), no.1-2, 37-44, (in colaborare cu L.Nicolescu), recenzata in MR1408964 (97e:53065) si in Zbl 0879.53019.
Toate lucrarile de la punctul precedent sunt recenzate si indexate in baza de date a Mathematical Reviews si/sau Zentralblatt fur Mathematik.

Studii publicate in volumele unor manifestari stiintifice internationale:

  1. Harmonic maps on C-manifolds, Recent advances in geometry and topology, 181-185, Cluj Univ. Press, Cluj-Napoca, 2004, recenzata in MR2113580 (2005j:53067), ISBN 9736102777.
  2. Quasi-Sasakian manifolds and harmonic maps, Proceedings of the Conference "Submanifolds on Yuzawa" (Japonia), 28-32 (2001).

Proiecte de cercetare pe baza de contract/grant:

  1. Structuri hermitiene si de contact si aplicatii intre varietati inzestrate cu aceste structuri. Geometria Submersiilor Riemanniene si semi-Riemanniene, CNCSIS Nr. 41022/2003, 33379/2004, 34699/2005, (membru in echipa).
  2. Criptografie. Algoritmi. Utilizarea de programe informatice in algebra si geometrie, grant CNCSIS 2006, contract aprobat si aflat in faza de contractare, (membru in echipa), director de proiect prof.dr.Dorin Popescu.
  3. On a Gauge-invariant functional, CERES 4-147/12.11.2004, (membru in echipa).
  4. Armonicitatea si stabilitatea unor aplicatii definite pe varietati de contact, CNCSIS Nr. 6154/2000-2001, (Director de contract).
  5. Submersii si foliatii Riemann, CNCSIS Nr. 5229/1999, Ad. 6058/2000, (membru in echipa).
  6. Aplicatii armonice pe varietati reale si complexe, ANSTI Nr. 4116/1998, (membru in echipa).



Actualizat: 27 aprilie 2006



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