BrainMap

Mr. Sergiu Moroianu

CS 1 dr. habil.

Professor - INSTITUTUL DE MATEMATICA "SIMION STOILOW" AL ACADEMIEI ROMANE

Researcher

Curriculum Vitae (16/03/2020)

Expertise & keywords

Investigation of quantum and finite type invariants, applications in geometry and topology Call name: Projects for Young Research Teams - TE-2012 call
PN-II-RU-TE-2012-3-0492 2013 - 2016

Role in this project:

Coordinating institution: INSTITUTUL DE MATEMATICA "SIMION STOILOW" AL ACADEMIEI ROMANE

Project partners: INSTITUTUL DE MATEMATICA "SIMION STOILOW" AL ACADEMIEI ROMANE (RO)

Affiliation: INSTITUTUL DE MATEMATICA "SIMION STOILOW" AL ACADEMIEI ROMANE (RO)

Project website: http://www.imar.ro/~dcheptea/grantul_0492.html

Abstract:

The main set of open problems focusses around finding a comprehensive relation between quantum and finite-type invariants of homology cylinders, studying the topological consequences, when via this “translation” methods from one can be used in solving the problems that difficult for the other. Of particular importance to establishing this correspondence in a proper manner is to look not only at quantum topological problems, but also more generally at related quantum geometric problems. To achieve the aim to further the development in the field as much as possible to his forces, the project leader has identified several works by the two other team members that border on some of the open geometric problems needed for the goal, therefore this collaboration. To develop this work qualitatively, at the international research level, we seek to enhance the collaboration between the Geometry and Topology group at IMAR, Bucharest, and CQM in Aarhus, Uppsala, and Mathematics Department at Uppsala, Sweden.

Quantum invariants in hyperbolic geometry Call name: Projects for Young Research Teams - TE-2011 call
PN-II-RU-TE-2011-3-0053 2012 - 2014

Role in this project:

Coordinating institution: Institutul de Matematica Simion Stoilow al Academiei Romane

Project partners: Institutul de Matematica Simion Stoilow al Academiei Romane (RO)

Affiliation: Institutul de Matematica Simion Stoilow al Academiei Romane (RO)

Project website: http://www.imar.ro/~sergium/0053/0053.html

Abstract:

We are interested in the renormalized volume of geometrically finite hyperbolic manifolds of dimension 3 as a functional on the Teichmüller space of the conformal infinity of the funnels and rank-1 cusps of the manifold. We aim to prove that the renormalized volume is a Kähler potential for the Weil-Petersson metric, extending results known for the quasi-fuchsian and Schottky moduli spaces. We also want to define real and holomorphic Chern-Simons invariants in the infinite-volume case, and to provide an explicit isomorphism between the Chern-Simons line bundle and the determinant bundle over the Teichmüller space.

FILE DESCRIPTION	DOCUMENT
List of research grants as project coordinator or partner team leader	Download (30.86 kb) 16/03/2020
Significant R&D projects for enterprises, as project manager
R&D activities in enterprises
Peer-review activity for international programs/projects