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Grantor: Grant Agency of Czech Republic (GACR)

The project aims at bringing together mathematicians working in diverse but closely related fields (algebra, topology, differential geometry), thus reflecting the synthesis which takes place in modern mathematics. More specifically, we propose: 1) Studytransfers of strongly homotopy Lie structures, with an attention paid to minimal models, properties of the moduli space of solutions of the Mauer-Cartan equation and deformation theory. 2) Investigate invariant differential operators for parabolic geometries, in particular in the case when fields correspond to representations with singular character. Apply the Lie theory to the geometry of manifolds with a given parabolic structure. Study local invariants of pseudo-convex CR manifolds. 3) Describegeometry and topology of orbits of 3-forms with respect to the action of the general linear group. Find necessary and sufficient conditions for the existence of 3-forms on low-dimensional manifolds.

Main investigator:

IM team members:

Vanžura Jiří |

Participating institutions:

Institute of Mathematics, AS CR,

Mathematical and Physical Faculty, Charles University, MFF UK,

Masaryk University, Faculty of Science, Department of Mathematics and Statistics, PrF MU