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Grant 201/05/2117     1.1.2005 - 31.12.2007
Grantor: Grant Agency of Czech Republic (GACR)

Algebraic methods in topology and geometry

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:

Markl Martin

 IM team members:  
Vanžura Jiří