Special geometries and related structures

CNCS grant PN-III-P4-ID-PCE-2016-0019 contract no. 117/ 2017

Project description: The project will bring his constribution in modern differential geometry and its interplay with complex geometry, theoretical physics and algebraic geometry.

Project coordinator

         Dr. Liana David , Scientific Researcher I at Institute of Mathematics " Simion Stoilow " of the Romanian Academy

Research team (in alphabetical order)

         Dr. Monica Aprodu

         Dr. Gabriel Baditoiu

         Master student Ionut-Alexandru Hurjui

         Dr. Radu Pantilie

         Dr. Costin Vilcu

 

Phase one of the project (12.07-2017-30.12.2017)

Expected results in: generalized complex geometry, meromorphic connections, harmonic maps.

Scientific report: link

Scientific paper

         V. Cortes, L. David : Twist, elementary deformation, and the KK correspondence in generalized complex geometry, arXiv:1706.05516v2 [math.DG]

 

Presentations as Invited Speakers

         Monica Aprodu: Workshop "Mathematics, Computer Science and Applications", Galati, December 2017.

         Costin Vilcu: International Symposium on Discrete and Convex Geometry, Shijiazhuang (China), December 2017.

 

Research Visits Abroad

         Monica Aprodu: University of Genoa (Italy), (5 days) September 2017.

         Liana David: University of Mannheim (Germany), (18 days) October - November 2017.

         Radu Pantilie: Universite de Brest (France), (13 days) December 2017.

 

Phase two of the project

Expected results in: quaternionic and quaternionic-Kahler geometry, special Kahler geometry, harmonic maps.

 

Phase three of the project

Expected results in: quaternionic and quaternionic-Kahler geometry, harmonic maps, singular spaces.