BrainMap

Sorin Dascalescu

Dr.

Professor - UNIVERSITATEA BUCURESTI

Teaching staff

Expertise & keywords

Hopf algebras in category theory, representation theory and combinatorics Call name: Exploratory Research Projects - PCE-2011 call
PN-II-ID-PCE-2011-3-0635 2012 - 2016

Role in this project:

Coordinating institution: Universitatea din Bucuresti

Project partners: Universitatea din Bucuresti (RO)

Affiliation: Universitatea din Bucuresti (RO)

Project website: http://fmi.unibuc.ro/ro/grant_IDEI_635_EN

Abstract:

The aim of the project is to investigate Hopf algebras related to category theory, representation theory and combinatorics, as well as some problems in these areas that require the use of Hopf algebra techniques. The specific research directions of the project illustrate once again the ubiquity of Hopf algebras and the usefulness of methods related to them in very different research areas, but they also reflect a part of the present scientific interests of the members of our team. The project continues 3 previous IDEAS research projects. The scientific objectives and research directions are: 1) Investigation of the coactions of some classes of Hopf algebras on certain algebras; 2) Braided monoidal structures versus bimonads in monoidal categories; 3) Homological properties of incidence algebras and algebras associated to categories; 4) Properties of crossed products; 5) Secondary (cyclic) cohomology for algebras; 6) Combinatorial (co)algebra structures and applications. The team consists of 7 experienced researchers (S. Dascalescu, D. Stefan, D. Bulacu, M. Iovanov, C. Nastasescu, F. Panaite, M. Staic) and 3-4 junior researchers (PhD or MSc students), which will be involved in joint research activities; thus the project will strengthen the Hopf algebra group in Bucharest. International cooperation will be developed by scientific visits abroad, attending conferences and visits of foreign experts to Bucharest. We expect that our results will be published in high rank journals.

Actions, coactions and gradings on algebras Call name:
IDEI 1904, contract nr. 479/13.01.2009 2009 - 2011

Role in this project: Project coordinator

Coordinating institution: UNIVERSITATEA BUCURESTI

Project partners: UNIVERSITATEA BUCURESTI (RO)

Affiliation: UNIVERSITATEA BUCURESTI (RO)

Project website: http://fmi.unibuc.ro/ro/grant_CNCSIS_ID_1904/

Abstract:

Corings, Hopf algebras and braided monoidal categories Call name:
IDEI 1005 no. 434/1.10.2007 2007 - 2010

Role in this project: Key expert

Coordinating institution: UNIVERSITATEA BUCURESTI

Project partners: UNIVERSITATEA BUCURESTI (RO)

Affiliation: UNIVERSITATEA BUCURESTI (RO)

Project website: http://fmi.unibuc.ro/ro/grant_IDEI_1005_en/

Abstract:

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List of research grants as project coordinator or partner team leader
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