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Differential Geometry: “Holomorphic Twistor Spaces and Bihermitian Geometry”

Dr. Steven Gindi, UC Riverside

Friday, February 17, 2017
  11:10 a.m.–Noon


Location: Surge Building 268
  Parking Information

Category: Seminar

Description:

Ever since the 1970’s, holomorphic twistor spaces have been used to study the geometry and analysis of their base manifolds. In this talk we will introduce integrable complex structures on twistor spaces fibered over complex manifolds that are equipped with certain geometrical data. The importance of these spaces will be shown to lie, for instance, in their applications to bihermitian geometry, also known as generalized Kahler geometry. (This part of the generalized geometry program initiated by Nigel Hitchin.) By analyzing their twistor spaces we will develop a new approach to study bihermitian manifolds. In fact, we will demonstrate that the twistor space of a bihermitian manifold is equipped with two complex structures and natural holomorphic sections as well. This will allow us to construct tools from the twistor space that will lead, in particular, to new insights into real and holomorphic Poisson structures on the manifold.



Additional Information: Math Seminar

Open to: General Public
Admission: Free
Sponsor: Mathematics

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