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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).