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

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

Data si locul nasterii: 12 iunie 1963 in Bucuresti.

Pentru studenti:

In atentia studentilor anul I, seria 12: Subiecte examen de Geometrie

In atentia studentilor de la Seria 40, Cursul de "Fundamentele Geometriei" Subiecte de examen

In atentia studentilor de la cursul de Algebra si geometrie Computationala

Educatia: A absolvit Facultatea de Matematica, Universitatea Bucuresti in 1986 si anul V de specializare in 1987.
Teza de doctorat: Doctor in Matematica din 1995 cu teza "Submersii riemanniene si hermitiene - Cazul fibratilor olomorfi", indrumator fiind prof. dr. Steriu Ianus.
Pozitii academice: A lucrat ca profesor la liceu in perioada 1987-1990 si ca cercetator la ITCI in perioada 1990-1991. Asistent la Catedra de Geometrie intre 1991-1995. Din 1996 este Lector.
Cursuri predate: A tinut cursuri de Geometrie (anul I), Geometrie Diferentiala (anii II si III), Fundamentele Geometriei (anul IV), Topologie generala si algebrica (anii I si II), Capitole speciale de geometrie (anul IV), Teoria fascicolelor si topologie algebrica (anul III), Algebra si geometrie Computationala (anul III).
Domenii de interes stiintific: varietati complexe compacte, fibrati vectoriali olomorfi.

Incepand cu 1 Iunie 2005, cercetator stiintific la Mathematisches Institut, Universitatea Georg-August, Goettingen, Germania

Bursier post-doc. in perioada Nov.1997 - Oct.1998 la Univ. Trieste (Italia).
Profesor invitat la Ruhr-Universitaet Bochum, 2002-2003, sem. I.

Conferinte tinute in strainatate: Milano, Ferara, Catania, Kaiserslautern, Bochum, Essen.

Organizator impreuna cu Prof.dr. Juergen Herzog (Essen) a Workshop-ului NATO ARW "Commutative Algebra, Singularities and Computer Algebra", Sinaia, Romania, Septembrie 2002.

Articole stiintifice

Holomorphic and harmonic maps of locally conformal Kaehler manifolds. Boll. Unione Mat. Ital., VII. Ser., A 9, No.3, 569-579 (1995).
On the Picard group of some normal surfaces. Rev. Roum. Math. Pures Appl. 40, No.1, 35-38 (1995).
Sur l'existence de fibres vectoriels stables sur les surfaces non-kaehleriennes. (Existence of stable vector bundles on non-Kaehler surfaces). C.R. Acad. Sci., Paris, Ser. I 321, No.5, 591-593 (1995).
An elementary proof of Banica-LePotier's inequality Δ ≥ 0. An. Univ. Bucur., Mat. 46, 97-100 (1997).
Relating vector bundles on a nonalgebraic surface with those on its blow-up, Analale St. Univ. Ovidius Constanta, 5 (1997), no.2.
On the Neron-Severi group of some non-Kaehler principal elliptic bundles. Rev. Roum. Math. Pures Appl. 43, No.1-2, 245-251 (1998).