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Seminários do IMPA

Geometric Strutures on Manifolds

Título
Derived brackets and generalized complex structures
Expositor
Misha Verbitsky

IMPA
Data
Quinta-feira, 20 de fevereiro de 2020, 17:00
Local
Sala 232
Resumo

Let $M$ be a smooth manifold. A generalized complex structure is a complex structure on $V= TM \oplus T^*M$ which is closed under a peculiar bracket called the Courant bracket. I will motivate the definition of the Courant bracket using the language of derived brackets developed by J.-L. Loday and Y. Kosmann-Schwarzbach. The talk is supposed to be elementary and accessible to all students with some knowledge of differential geometry (manifolds, tensors, de Rham differential).