English Version

Conferinte in Facultate

romb rosu Prof. dr. Alexandru Dimca (Univ. din Nice)— Asupra singularitatilor curbelor algebrice plane, marti, 1 noiembrie, ora 14, Amfiteatrul "Pompeiu".

romb rosu Prof. dr. Viorel Barbu (Academia Romana)— Stabilizarea frontiera si proprietatea unica continuare a autofunctiilor operatorului Stokes-Oseen, joi, 27 octombrie, ora 14, Amfiteatrul "Stoilow".

romb rosu Prof. dr. Lucian Beznea (IMAR)— Analiza si potentiale pe spatii Hilbert, joi, 13 octombrie 2011, ora 14, Amf. "Stoilow", et. 1.

romb rosu Prof. dr. George Dinca— Farmecul conceptelor de odinioara. Aplicatii de dualitate, joi, 19 mai 2011, ora 14, Amf. "Stoilow", et. 1.

romb rosu Dr. Radu Purice—Structuri matematice in studiul observabilelor cuantice. Joi, 10 martie 2011, ora 14, Amfiteatrul "Stoilow".

romb rosu Prof. Dr. Adrian Atanasiu—Caracterizari numerice ale cuvintelor. Joi, 17 februarie 2011, ora 14, Amfiteatrul "Stoilow".

romb rosu The K Semantic Framework—Grigore Rosu. Miercuri, 12 ianuarie 2011, orele 10–12.

romb rosu Newton & Newtonianism—Dr. Patricia Fare (Cambridge University). Conferinta se contramandeaza din cauza imbolnavirii conferentiarei.

romb rosu Conferintele lunare ale FMI—joi, 25 noiembrie 2010, ora 14, in Amfiteatrul "Stoilow", prof. dr. Serban Stratila va vorbi despre Scoala romaneasca de algebre de operatori.

Conferinte in Facultate
Seminarii in Facultate

romb rosu Seminarul de Teoria Subvarietatilor "RADU ROSCA", joi, 11 iulie, ora 18, in Amf. Stoilow.

romb rosu Seminar de Informatica: Seminarul de Informatica pentru studentii anului II se va tine in fiecare luni, in intervalul 14:00–16:00, in amf. Titeica, et. 3. Mai multe informatii pe site-ul Seminarului de Informatica.

romb rosu Seminar stiintific de Analiza Fourier clasica pentru studenti, coordonat de prof. dr. Serban Stratila.

romb rosu Seminar stiintific studentesc—algebra.

Seminarii in Facultate
C o n f e r i n t e

romb rosu Conferinta aniversara "Faculty of Sciences - 150 years", Facultatea de Matematica si Informatica, Universitatea din Bucuresti, 29 august - 1 septembrie 2013.

romb rosu Al 11-lea Colocviu franco-roman de matematici aplicate, Facultatea de Matematica si Informatica, Universitatea din Bucuresti, 24-30 august 2012.

romb rosu Colocviu franco-roman de geometrie complexa, 7-9 iulie 2011, Bucuresti.

romb rosu Congresul matematicienilor romani, 29 iunie - 5 iulie 2011, Brasov.

romb rosu Conferinta Internationala "Riemannian Geometry and Applications - RIGA 2011", Bucuresti, 10-14 mai 2011, organizata de Facultatea de Matematica si Informatica, Universitatea din Bucuresti. Mai multe informatii.

romb rosu Conferinta lunara a IMAR: Prof. Dr. Paltin Ionescu (FMI & IMAR)—Rezultate recente in geometria proiectiva: conjectura Harthshorne. Miercuri, 14 octombrie, ora 13:00—IMAR, Sala de conferinte "Miron Nicolescu", parter.

romb rosu CNIV si ICVL sub egida Anului European al Cercetarii si Inovarii—YECI 2009.

C o n f e r i n t e

 





Algebre Hopf si teme inrudite
Hopf algebras and related topics

  

Grant no. 88/05.10.2011 of the Romanian National Authority for Scientific Research, CNCS-UEFISCDI - PN II Idei

The Team:

  • Prof. Dr. Gigel Militaru (the team leader of the project),
  • CS III Sebastian Burciu,
  • CS III Bogdan Ion,
  • AC Ana-Loredana Agore (PhD student - PhD since 1/10/2012),
  • AC Costel Gabriel Bontea (PhD student).

Project Summary:

Hopf algebras were introduced around 1960 arising from algebraic geometry and algebraic topology. The second important development within this field of study started in 1987 with the appearance of the paper Quantum groups by V. Drinfel"d. The project will be focused on both parts (classic and quantum) of the theory of Hopf algebras and has two corresponding general objective each of them with several open problems. Objective I: New structural results for Hopf algebras. There are four open problems related to this objective. Objective II: Categorical methods in quantum groups. Braided, monoidal and fusion categories. There are five open problems related to the second objective.

Annual scientific reports (in romanian): 2011, 2012

Actual annual expenses: 2011, 2012

Published/Accepted papers in ISI journals (the impact factor for 2011 is given):

  1. S. Burciu, S. Natale - Fusion rules of equivariantizations of fusion categories, Journal of Mathematical Physics, 54(2013), 013511; DOI: 10.1063/1.4774293 (IF: 1.291). Link
  2. A. L. Agore, G. Militaru - Classifying complements for Hopf algebras and Lie algebras, Journal of Algebra, 391(2013), 193-208 (IF: 0,613) Link
  3. A. L Agore – Coquasitriangular structures for extensions of Hopf algebras, Glasgow Math. J. 55 (2013), 1-15. (IF: 0.571)
  4. A. L. Agore, C. G. Bontea, and G. Militaru – Classifying coalgebra split extensions of Hopf algebras, J. Algebra Appl. 12 (2013), 1-24. (IF: 0.483)
  5. A. L. Agore, G. Militaru – Unified products and split extensions of Hopf algebras, Contemporary Math. AMS, Vol. 585 (2013), 1-15.
  6. A. L. Agore, S. Caenepeel, G. Militaru – The center of the category of bimodules and descent data for non-commutative rings, J. Algebra Appl. 11 (2012), 1-17. (IF: 0.483)
  7. G. Militaru – Representable functors for corings, Comm. Algebra 40 (2012), no.5, 1766-1796. (IF: 0.347)
  8. A. L. Agore and G. Militaru – Schreier type theorems for bicrossed products, Cent. Eur. J. Math. 10 (2012), no.2, 722-739. (IF: 0.440)
  9. A. L. Agore, G. Militaru – Extending structures for Lie algebras, accepted for publications in Monatshefte für Mathematik (IF: 0,616)
  10. A. L. Agore, G. Militaru – Classifying complements for Hopf algebras and Lie algebras, accepted for publication in Journal of Algebra, DOI: 10.1016/j.jalgebra.2013.06.012 (IF: 0,613)
  11. A.L. Agore, S. Caenepeel, G. Militaru – Braidings on the category of bimodules, Azumaya algebras and epimorphisms of rings, in press Applied Cat. Structures – DOI: 10.1007/s10485-012-9294-3. (IF: 0.600)
  12. A.L. Agore, G. Militaru – Extending structures I: the level of groups, in press, Algebr. Represent. Theory, DOI: 10.1007/s10468-013-9420-4. (IF: 0.595)
  13. A. L. Agore, C. G. Bontea, G. Militaru – Classifying bicrossed products of Hopf algebras, in press Algebr. Represent. Theory, DOI:10.1007/s10468-012-9396-5. ( IF: 0.595).
  14. S. Burciu – Kernels of representations of Drinfel’d doubles of finite groups, accepted for publications in Cent. Eur. J. Math. (IF: 0.440)
  15. S. Burciu – Subgroups of odd depth – a necessary condition, accepted for publications in Czechoslovak J. Math. (IF: 0.262)
  16. C. G. Bontea – Classifying bicrossed products of two Sweedler.s Hopf algebras, accepted for publications in Czechoslovak J. Math. (IF: 0.262)

Papers submitted for publication:

  1. S. Burciu – On coideal subalgebras of cocentral Kac algebras and a generalization of Wall’s conjecture, submitted.
  2. S. Burciu – On the irreducible representations of generalized quantum doubles, submitted
  3. A. L. Agore, G. Militaru – Classifying complements for groups. Applications, submitted
  4. A. L. Agore, C. G. Bontea, and G. Militaru – The classification of all crossed products H4 # k[Cn], submitted
  5. A. L. Agore, G. Militaru – The extending structures problem for algebras, submitted.
  6. V. Chari, B. Ion – BGG reciprocity for current algebras, submitted.

Dissemination of the scientific results. Talks given at international conferences:

  1. G. Militaru - Classifying bicrossed products of quantum groups, Algebra Geometry Mathematical Physics, Brno, september 2012.
  2. G. Militaru - Extending structures: the level of groups, Groups and their actions, Bedlewo, July 2012.
  3. A.L. Agore - Bicrossed descent theory of exact factorizations and the number of types of groups of finite order , Groups and their actions, Bedlewo, July 2012
  4. C. Bontea - Classifying crossed product of quantum groups, Algebra Geometry Mathematical Physics(AGMP), Brno, September 2012.
  5. A. L. Agore - Deformations and descent type theory for Hopf algebras, Algebra Geometry Mathematical Physics, Brno, September 2012.
  6. G. Militaru - Classifying bicrossed products. Deformations and descent type theory for quantum groups, Hopf Algebra Workshop, Brussel VUB, 19 March 19, 2012.
  7. A.L. Agore - Classifying exact factorizations of a group through a given subgroup and the number of types of groups of finite order, 2nd Biennial Groups Theory Conference, Dogus University, Istanbul, February 2013.
  8. A.L. Agore - The factorization problem for Lie algebras, International workshop Lie theory and its applications, Varna, Bulgaria, June 2013.
  9. A.L. Agore - Exact factorizations for Hopf algebras. Applications, Joint international meeting of AMS and RMS , Alba-Iulia, Romania, June 2013.
  10. A.L. Agore - Bicrossed products of Hopf algebras, Workshop for young researchers, Constanta, Romania, May 2013.
  11. A.L. Agore - Classifying complements for Hopf algebras, Lie algebras and groups, Workshop "Rings, categories and Hopf algebras", Bucharest, May 2013.
  12. C.G. Bontea - The factorization problem for Hopf algebras, Workshop "Rings, categories and Hopf algebras", Bucharest, May 2013.
  13. G. Militaru - The Extending Structures Problem, 2nd Biennial Groups Theory Conference, Dogus University, Istanbul, February, 2013
  14. G. Militaru - The extending structures for algebras, Workshop "Rings, categories and Hopf algebras", Bucharest, May 2013.
  15. G. Militaru - Extending structures for Lie algebras, International workshop Lie theory and its applications, Varna, Bulgaria, June 2013.
  16. G. Militaru - The extension problem for Hopf algebras, Joint international meeting of AMS and RMS, Alba-Iulia, Romania, June 2013.
  17. S. Burciu - Kernels of representations and coideal subalgebras of Hopf algebras Workshop "Rings, Categories and Hopf Algebras", May 18-19, 2013, Bucharest.

2002 - 2015 -- Facultatea de Matematica si Informatica, Universitatea din Bucuresti
Str. Academiei nr. 14, sector 1, C.P. 010014, Bucuresti, Romania
Tel: (4-021) 314 2863, Fax: (4-021) 315 6990, secretariat fmi.unibuc.ro