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Regular version of the site

Gueo Grantcharov

Gueo Grantcharov (Florida International University) visited Laboratory of Algebraic Geometry in  October 2011, May 2013, May 2014, March 2016 and  March 2018 at the invitation of Deputy Laboratory Head Misha Verbitsky.

3-7 October 2011 Gueo Grantcharov took part in International conference "Geometric structures on complex manifolds".

On November the 8th 2013
he gave a talk "Split signature metrics on complex surfaces" at the seminar on Geometric structures.

Abstract: I'll consider a quaternionic-like structures on complex surfaces which we called para hypercomplex. A complex surface with such struture has torsion first Chern class and many of these surfaces admit such structures. The structure is also related to a split signature metrics.

On May the 14th 2014 Gueo Grantcharov gave a talk "QK/HK correspondence from HKT viewpoint" at the seminar of Laboratory.

Abstract: To a hyperkaehler manifold with isometric circle action preserving one complex structure and rotating the others can be associated a quaternionic kaehler manifold with circle action preserving the quaternionic kaehler structure. This correspondence can be viewed from different perspectives - Swann budles, twistor spaces or T-duality. I'll report on its relation to HKT geometry.

On March the 9th 2016 Gueo Grantcharov gave a talk "On some examples of special non-Kaehler metrics" at the seminar of Laboratory.

Abstract: We consider two types of non-Kaehler metrics -- balanced and astheno-Kaehler. There is an opinion that a compact complex manifold can not admit both, even if they are different. We provide examples on twistor spaces and homogeneous manifolds, which partly support such an opinion.

On March 13th 2018 Gueo Grantcharov gave a talk "On some examples of solutions of Hull-Strominger system" at the seminar of Laboratory.

Abstract: We adapt the Fu-Yau construction of solutions to the Hull-Strominger system on elliptic fibrations over K3 surfaces to K3 orbifolds. In the talk I'll present the original construction and how it could be extended to the singular base. This is joint project with A. Fino and L. Vezzoni.


 

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