Cn-generalized complex geometry

in ,

26 Nov 2024. Talk by Filip Moučka at the meeting of the Spanish Network of Geometry and Physics, ICMAT (Madrid).

Abstract: The vector bundle TM+T^*M comes equipped with a canonical symmetric pairing, which is a fundamental object when introducing standard generalized geometry. However, there is also an equally canonical skew-symmetric pairing, which motivates the introduction of Cn-generalized geometry. In this talk, I will discuss the basic features of Cn-generalized geometry with a special focus on the Cn-analogue of generalized complex structures.